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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 103
A QUANTITATIVE RISK ASSESSMENT APPROACH IN AN
INTEGRATED COLD CHAIN SYSTEM ENSURING OPTIMAL SAFETY
AND RELIABILITY FOR INDIAN AGRARIAN MARKET
Gourab Chatterjee1
, Debashish Bhattacharya2
1
Assistant Professor, Department of Food Technology, Haldia Institute of Technology, West Bengal, India
2
B.Tech Student, Department of Food Technology, Haldia Institute of Technology, West Bengal, India
Abstract
India has an agrarian economy. More than 52% of it's land is engaged in cultivation and with varying demography across the length
and breadth of the nation, India has one of the most diverse vegetative portfolio. Each genre of produce has limits to the time-
temperature abuse it can withstand beyond which deterioration starts from within which may not be apparent. We present a logistic
model which ensures easy quality management of food produce emphasizing on optimization of produce quality and minimization of
wastage and spoilage. The model deals with specific products and their relationship with standard tolerance levels to temperature
abuse patterns along with measures to minimize them. We use the basic principles of Hazard Analysis Critical Control Points
(HACCP) in sync with operational pre-requisite programs to devise a robust system helping us achieve the desired level of
optimization. Based on the Hub and Spoke model for freight transfer, this model focuses of two fundamental parameters, distance
between the point of cultivation to the point of sale and time taken to traverse that distance maintaining the required time-temperature
combinations. The algorithm emphasizes on acquiring data that can be utilized to predict a problem and assessment of risk before it
occurs. This intervention can be made to mitigate product issues resulting cost impacts using the hype cycle for food supply chain.
The system is intended to monitor produce temperature history, chain of custody and helping to ensure that a food is safe and effective
throughout the supply chain when reaching its intended consumer.
Keywords: Cold chain, traceability, HACCP, Critical Control Point, hype cycle
----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTION
A cold chain, being a temperature-controlled supply chain
network with storage and distribution being carried out in a
manner that the temperature of a product is maintained in a
specified range, for keeping it fresh and edible with much
longer period than in normal ambient conditions. This system
facilitates long- distance transport of various products as well
as makes seasonal products available over the entire year.
Establishing a cold supply chain in India is a long shot. The
existing system is scattered and fragmented. This paper
attempts to suggest bridging the gap between the existing
system and the system it should be. The emerging
technologies cannot be implemented unless a robust chain
already exists. If technology is implemented in the current
scenario, manufacturers will not only face monetary loss but
the brand may also get diluted. In an agrarian structure,
incorporating safety and ensuring comprehensive growth of
the system, OPRP charts may be used to weigh multiple paths
in between two points, to gauge not only the shortest but also
the safest path. We use the Hub and Spoke model as the basis
of the Cob Web structure we propose. The hub and spoke
model has a central hub connected with multiple supply
points, the spokes. In this paper, we propose symmetry in the
Hub and spoke model. In order to identify the drivers and
challenges for the cold chain industry in India, it would be
helpful to visualize what a typical cold chain network looks
like. The cold chain network for fruits and vegetables is not
much different from the network required for consumer
perishables like milk and pharmaceuticals. In a cold chain,
there are two main elements of the cold chain logistics system:
(a) Surface storage: Storage of products in refrigerated
warehouses.
(b) Refrigerated transportation: Perishable products are
transported in reefers, refrigerated vans or railway carriages.
A cold chain logistics player may be a cold storage owner or
owner of a fleet of reefers, or more commonly, an integrated
3PL firm that owns the entire network from procurement to
the final destination of the produce. The following are the
steps of a cold chain network:
i) The first stage is the field where the fruits and vegetables are
grown and then procured by the retailer.
ii) The produce is subsequently brought to a pre-cooling unit,
located in the vicinity of the production zone. Pre-cooling
operation, carried out within a short period after harvesting,
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 104
prepares the fruit or vegetable for transportation over long
distances.
iii) Reefer trucks are used to transport the produce at
controlled parameters from the pre-cooling unit to the cold
storage. The size of these trucks generally varies from one to
more than 15 tonnes.
iv) Cold storages are centrally located to cater to multiple
production zones and pre-cooling units. Depending on factor
time, that being how longs the product needs to be stored and
the direction it is heading to, the produce is stored at a
controlled atmosphere. This slows down the ripening process
of the produce enhancing its shelf life.
v) The produce is then taken to a processing plant, where it is
processed further.
2. HUB AND SPOKE PARADIGM
The hub and spoke distribution paradigm resembles a set of
connections arranged as the spokes and the wheel [1,3]. A
central
Fig 1 The interconnected hub and spoke structure
juncture joins several nodes signifying efficiency in
transportation. The system has several benefits as well as
disadvantages but is most likely solution to build a successful
cold chain system for the Indian agrarian economy. n this
model, we deal with a central hub which may be a Pre-cooling
center or a cold store. The individual farmers or independent
growers form the other end of the spoke initially in its initial
stage.
Our proposition of the CobWeb structure involves
implementation of HACCP at each point in the supply chain,
mapping the chain of custody with probable hazards and
weighing them according to risks. Finally, we use Dijkstra's
algorithm to figure out the most efficient path. To achieve
safety and high efficiency of food cold chain system, it shall
take into account of two aspects of restraints when allocate
safety reliability: First, the safety constraint, i.e. under the
condition of given initial safety reliability, Second, the cost
restraint.
Table 1 HACCP chart for food supply chain
CCP HAZARD LIMIT WEIGHT
Purchasing
&
Checking
Raw material
quality
National
standard
20%
Loading &
Handling
Increasing
microbial load
Working
hygiene &
storage
15%
Storing Cross
contamination
National
storage
standards
15%
Transport
&
Distribution
Working
conditions
Real time
temperature
control
system
10%
Sorting Biochemical
contamination
Expertise of
professional
10%
Processing Chemical
contamination
National
standards
20%
3. COBWEB PARADIGM
In this model, we deal with a central hub which may be a Pre-
cooling center or a cold store. The individual farmers or
independent growers form the other end of the spoke initially
in its initial stage.
Fig 2 The pre cooling unit [PCF] connected with six unique
farmers or point of production
3.1 Single Hub Assignment
Pre-Cooling Facility [PCF] acts as the hub and individual
farmers [F1,F2,F3........Fn] act as the primary producers acting
at the bottom of the supply chain. For a network of n nodes,
there will always be n-1 number of routes to connect all nodes
to the central hub with a complexity of O(n). Assuming the
need to transfer commodities between individual producers,
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 105
the bulk amount of two or more producers are transported to
the central hub making the system stable, maintaining same
profit level. This compares favorably to the n(n-1)/2 routes or
complexity of O(n2) that would be required to connect each
node to every other node in a point to point network.
Fig 3 Increasing the number of supply points along a path
In the above figure, F6, F7 and F8 ship their individual bulk to
the nearest individual producer, F1.. A reefer or a suitable
carrier then ships the bulk to the pre- cooling unit.
Interestingly, with increase in number of players or individual
suppliers, the grid becomes more profitable. Small number of
prime routes reduces the transportation cost and increases
efficiency. Complicated operations like quality assurance,
packaging and sorting can be done at the hub and not the
farms. This will ensure uniformity of the packaged goods and
ensure good returns to individual producers. The model below
shows individual producers forming yet another cobweb and
joining with a previous structure with a centralized pre cooling
unit. A central carrier picks up bulk commodity from four
individual producers and transports it to the pre-cooling
facility. The individual transportation in between the producers
become more efficient with increase in the number of
producers. The spoke ends being simple, can be added or
deleted with ease without disturbing the complexity of
individual routes.
Fig 4 Successive formation of cobwebs by individual
suppliers creating a mesh structure
With increase in number of spokes, they can individually form
another spoke and hub model. With each increasing producer,
the model becomes more efficient with individual wheels
joining to form a bigger circle. Joining individual points, the
least distance between the farthest individual producers can be
figured out and linked to the pre-cooling unit.
3.2 Multiple Hub Assignment
The Pre-Cooling Facility [PCF] now becomes the end of the
spoke and the Cold Store [CS] facility acts as the hub. The
complexity and efficiency remaining the same, the cold stores
can be linked and a network can be established. The model
being flexible, allows n number of individual producers, n
number of Pre-Cooling facilities and n number of cold store
facilities.
Fig 5 The pre cooling units forming spokes in the cobweb
while the central cooling unit forming the hub
4. PROBABLE SHORTCOMINGS
 A centralized system makes day to day operations
inflexible. Any change in a hub may result in an
entirely different route which may make the
operations impossible to be handled in case of
unusually high demand in between spokes.
 The hub should never be starved. So the route
scheduling becomes tougher. Precise traffic
scheduling and timing are required to get desired
results.
 The central hub acts as a limitation. Total cargo
capacity of the entire network on one single hub. Any
anomaly in hub can result in a shift throughout the
supply chain.
 The hub is the common point of contact between any
two spokes. Arriving at hub is the necessary
condition before produce can be exchanged between
any two spokes fulfilling any requirement. Hence
minimum of two trips is required for transit of goods
between any two hubs.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 106
5. METHODOLOGY
The entire transportation chain from origin to destination has
been divided into three parts:
 The collection part (Origin or supply major)
 An interior hub part (transit friend or the α factor)
 Distribution part (destination or demand major)
The simplest way to ensure a safe transit is to express factor
with respect to time.
Fig 6 Transit test path
The following points when diminished will result in increased
time and risk optimization.
 Volume / Bulk of transport (B)
 Time which it normally takes to reach the destination
 Time which it would take if α is increased or changed
due the dynamism of system (X
AD
)
Thus for multiple hub assignment, minimizing the following
variables gives us the optimized structure:
TAD = TAB + α (TBC + TCD) (1)
In a multiple hub system, taking number of reefers k departing
from origin a until it leaving the next distribution site b to be a
cold chain logistics unit Xab, whose distribution time includes
the travel time from distribution site a to b tc
abn and the
process time at site b (containing loading and unloading time,
receiving time and meal time) td
bk:
tabk = tabk
c
+ t d
bk
Fresh food requires high timeliness that have to limit its
distribution with time. Here, we intend to apply time
constraint, consequently the constraint mb≤eb≤nb (where mb is
the number of pre cooling units and eb is the arrival time of
vehicle at the customer b) are considered for optimization
model. The food distribution routing optimization model with
time and load is as follows:
ajkabk
n
a
m
k
n
b
xtcMinY   

0 10
(2)
Where k is the number of pickup/rest points enroute to
destination. Also
C = The transportation cost of reefer per unit time
tabk= The travel time of the reefer in route section (Va, Vb)
tabk=tbak
xabk = {1 if the reefer passes through section (Va, Vb) else 0}


n
a
abkx
0
1 (b=0,1…n); ba  (3)


n
a
abkx
0
1 (k=1….m); ba  (4)
  

n
b
n
b
abkabk xx
1 1
1 (a=0, k=0,1…m) (5)
mb ≤ e b≤ nb (6)
mx
n
b
abk
m
k
  01
(i=0) (7)
Equation (3) : Multiple reefers may be used but every retail
juncture will be serviced just once
Equation (4): Single reefer will serve all retail junctures
Equation (5): Displacement of every reefer is zero, they start
and come back to the same spot
Equation (6): Every reefer falls within the purview of safety
and timeliness
Equation (7): Number of reefers leaving V0 cannot exceed the
total number of reefers
6. TRANSIT PROTOTYPES
A range of cobweb formats can be formulated keeping in mind
decisive factors as management simplicity, availability of
cheap labour, demography etc. Their key characteristics,
governance mechanism are explored.
6.1 Multiple Spoke Service Model
The hub has dedicated spokes servicing it. The hub’s is to set
the quality and performance benchmarks, mitigating risks,
thus ensuring spokes comply with standards. The spokes act
as supply points and inventory control largely lies within the
hub.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 107
Fig 7.Multiple spoke service model
Governance Mechanism
The inventory control lies at the dedicated hub while spokes
ensure regulatory compliance following regional rules in
which they are located. In operations, the Hub takes decisions
on supply allocation and delegates it to the spokes.
Suitable Application
This model is best suited when spokes are situated in locations
having a specific value proposition which could be low-cost,
cultural affinity or agricultural produce which is useful for a
particular hub only and not others. This model could be
applied with tier - III, IV cities acting as spokes with tier-I, II
cities being the hubs.
6.2 Single Spoke Service Model
This model involves presence of a Spoke in a geographic
location catering to the multiple Hubs across the nation. The
Spokes would handle specific set of requests and demands in
their area of specialization from the Hubs catering to their
respective customer base.
Fig 8 Single spoke service Model
Governance Mechanism
The spoke has a separate layer involved in managing the day
to day operations. It has in its discretion prioritizing its work
according to demands received from different hubs. This
model to some extent mandates some degree of coordination
between the spoke and hubs.
Suitable Application
This scenario typically observed when the spoke has the
necessary resources to support one critical demand. An
example of this competency could be supply of specific genres
of mangoes to national hubs from Nagpur node or supply of
apples from Srinagar node.
6.3 Multi Spoke Multi Hub Service Model
This model has hubs with multiple shared spokes serving
them. Each hub has a network of spokes while each spoke
serve multiple hubs. Spokes have internally dedicated supplies
to cater to its hubs.
Fig 9 Multi spoke multi hub service model
Governance Mechanism
Spokes report to multiple hubs, there would be a thin
managerial layer handling the overall operations of the spokes
as it requires some degree of coordination and quality
management is carried out at the hubs.
Suitable Scenario
A spoke is shared when it functions as a pivotal delivery/
supply point that support multiple deliveries/supplies along
demand centres. This model is best suited when spokes have
supplies which maybe a common requirement at more than
one hub, for example, Nellore and Nagpur sharing equal
mango production and supplying to rest of India.
7. DESIGNATING HUBS AND SPOKES
7.1 Weighing the Path
There may be multiple pathways in between the demand and
supply. We use the operational pre requisite programs
[OPRPs] to weight each individual path depending on the
parameters in that path and form a weighted graph. Using
modern tracking technologies, we can have controlled
atmosphere reefers which have temperature probes and any
deviation from the mean will trigger an alarm and the driver as
well as the control centre will be informed. The severity and
likelihood may be determined by the freight controller
depending on the controlling factors like the time-temp
combination, shelf life and the relative humidity.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 108
α/γ Severity Likelihood Score
Temp-Time
combination
X Y XY
Shelf Life A B AB
Relative
Humidity
C D CD
In a diverse agronomy like that of India, each different
climatic conditions in different parts, fruits and vegetable
production is scattered throughout the country. The demand
however is more or less equal in every part of the nation. As
an example, West Bengal ranks first in production of
Pineapples whereas Andhra Pradesh ranks first in production
of Tomatoes. The demand for tomatoes is more or less equal in
every part of the nation.
7.2 Most Efficient Path
Once, the score has been settled on every path, the path can be
weighted based on the scores and a weighted di graph can be
obtained. Applying the Dijkstra's algorithm on the weighted di
graph, we may obtain the least weight path and hence the most
efficient one.
Fig 10 Weighted paths
Assuming more or less equal demand for some high demand
produce, we may assign hubs and spoke designation to areas
depending on productivity. The spokes need to be weighted
depending on prime factors affecting the ease of
transportation. The factors may include availability of reefers,
the bulk amount to be transported, consumer demand or the
political stability.
Table-2: Dijkstra's algorithm
V1 V2 V3 V4 V5 V6 V7
∞ 0 ∞ ∞ ∞ ∞ ∞
1 0 7 ∞ ∞ ∞ ∞
1 0 4 ∞ ∞ 4 5
1 0 4 14 11 4 5
1 0 4 12 11 4 5
1 0 4 8 7 4 5
8. CONCLUSIONS
Ensuring quality and safety of the produce is the most
challenging and vital part in its journey from farm to fork.
Implementing technology, certifications will work towards a
safer food and profitable returns for the producers. Currently,
India still employs crude methods of tracking and maintains
manual database of goods transported. Using the Hype cycle
for food technology in the current scenario, we can spot the
most efficient and up to date technology that is stable and will
give higher rate of returns eventually.
Establishing a cold supply chain in India is a long shot. The
existing system is scattered and fragmented. This paper
attempts to suggest bridging the gap between the existing
system and the system it should be. The emerging
technologies cannot be implemented unless a robust chain
already exists. If technology is implemented in the current
scenario, manufacturers will not only face monetary loss but
brand may also get diluted. The technologies presently used
globally cannot be replicated in the Indian scenario due to the
fragmented system existing in the country.
The pre-cooling units need to be modified depending on the
type of fruit and vegetable, the variety and the amount.
Majority of the cold warehouses have same facilities
irrespective of the commodity stored. Generally, the
warehouses are of a specified Capacity irrespective of the
amount of commodity stored. These factors make the storage
costly. Customized supply chain needs to be implemented as
majority of the farmers do not have bulk amount to be
transported to the pre cooling units directly. We propose
designing a community cooling unit with very low capacity
(<10 tonne) setup for every 50 farmers. The units may be eco-
friendly with solar panels. The farmers can stock their produce
till the store reaches its capacity and then a bulk can be
transported to the pre-cooling facility. The interconnected hubs
[point to point] and the spokes adhering to their respective
hubs if implemented throughout the nation will resemble a
multiple hub and spoke model [Fig.11] with multiple spokes
catering to multiple hubs. In the first phase, individual hubs
need to be created aligned to the spokes such that the spokes
can efficiently connected to each other and then to the hub.
Different hub based on the target area, the production and
yield, hubs may be created with the prime districts acting as
spokes. In the second phase individual hubs will get connected
using a point to point network [P2P] and thus two distinct
hubs with n number of spokes each have a free flow within the
grid. A nationwide distribution of hubs and spokes will
resemble the Fig. 14 with nodes being primary hubs and
constituents being end of spokes. Signals are placed
strategically in between connections to assure quality of
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 109
transported produce. They also act as a safe point in case of
breakdown at any juncture, traffic can be diverted through the
signals to the next nearest hub.
Fig 11 A cobweb model with in hubs
Implementing the hub and spoke model with quality checks at
signals, will ensure a smooth flow of produce from the point
of production to the consumers. Each path is weighed on the
basis of the following parameters:
 Integration of resources to provide a consistent
customer experience across Spokes throughout the
country.
 Complex transition management processes.
 Navigating the regulatory regimes across Spoke
locations tend to be complex.
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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 110
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BIOGRAPHIES
Gourab Chatterjee Working as an Assistant
Professor in the Department of Food
Technology, Haldia Institute of Technology.
Area of interest includes in Novel extraction
techniques for phytochemicals, Modeling and
optimization of batch fermentation processes, Food safety and
cold chain management.
Debashish Bhattacharya, An engineering
undergraduate at the Department of Food
Technology, Haldia Institute of Technology,
his area of interest includes Mathematical
modeling of food processes and formulation
of neutraceuticals

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A quantitative risk assessment approach in an integrated cold chain system ensuring optimal safety and reliability for indian agrarian market

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 103 A QUANTITATIVE RISK ASSESSMENT APPROACH IN AN INTEGRATED COLD CHAIN SYSTEM ENSURING OPTIMAL SAFETY AND RELIABILITY FOR INDIAN AGRARIAN MARKET Gourab Chatterjee1 , Debashish Bhattacharya2 1 Assistant Professor, Department of Food Technology, Haldia Institute of Technology, West Bengal, India 2 B.Tech Student, Department of Food Technology, Haldia Institute of Technology, West Bengal, India Abstract India has an agrarian economy. More than 52% of it's land is engaged in cultivation and with varying demography across the length and breadth of the nation, India has one of the most diverse vegetative portfolio. Each genre of produce has limits to the time- temperature abuse it can withstand beyond which deterioration starts from within which may not be apparent. We present a logistic model which ensures easy quality management of food produce emphasizing on optimization of produce quality and minimization of wastage and spoilage. The model deals with specific products and their relationship with standard tolerance levels to temperature abuse patterns along with measures to minimize them. We use the basic principles of Hazard Analysis Critical Control Points (HACCP) in sync with operational pre-requisite programs to devise a robust system helping us achieve the desired level of optimization. Based on the Hub and Spoke model for freight transfer, this model focuses of two fundamental parameters, distance between the point of cultivation to the point of sale and time taken to traverse that distance maintaining the required time-temperature combinations. The algorithm emphasizes on acquiring data that can be utilized to predict a problem and assessment of risk before it occurs. This intervention can be made to mitigate product issues resulting cost impacts using the hype cycle for food supply chain. The system is intended to monitor produce temperature history, chain of custody and helping to ensure that a food is safe and effective throughout the supply chain when reaching its intended consumer. Keywords: Cold chain, traceability, HACCP, Critical Control Point, hype cycle ----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTION A cold chain, being a temperature-controlled supply chain network with storage and distribution being carried out in a manner that the temperature of a product is maintained in a specified range, for keeping it fresh and edible with much longer period than in normal ambient conditions. This system facilitates long- distance transport of various products as well as makes seasonal products available over the entire year. Establishing a cold supply chain in India is a long shot. The existing system is scattered and fragmented. This paper attempts to suggest bridging the gap between the existing system and the system it should be. The emerging technologies cannot be implemented unless a robust chain already exists. If technology is implemented in the current scenario, manufacturers will not only face monetary loss but the brand may also get diluted. In an agrarian structure, incorporating safety and ensuring comprehensive growth of the system, OPRP charts may be used to weigh multiple paths in between two points, to gauge not only the shortest but also the safest path. We use the Hub and Spoke model as the basis of the Cob Web structure we propose. The hub and spoke model has a central hub connected with multiple supply points, the spokes. In this paper, we propose symmetry in the Hub and spoke model. In order to identify the drivers and challenges for the cold chain industry in India, it would be helpful to visualize what a typical cold chain network looks like. The cold chain network for fruits and vegetables is not much different from the network required for consumer perishables like milk and pharmaceuticals. In a cold chain, there are two main elements of the cold chain logistics system: (a) Surface storage: Storage of products in refrigerated warehouses. (b) Refrigerated transportation: Perishable products are transported in reefers, refrigerated vans or railway carriages. A cold chain logistics player may be a cold storage owner or owner of a fleet of reefers, or more commonly, an integrated 3PL firm that owns the entire network from procurement to the final destination of the produce. The following are the steps of a cold chain network: i) The first stage is the field where the fruits and vegetables are grown and then procured by the retailer. ii) The produce is subsequently brought to a pre-cooling unit, located in the vicinity of the production zone. Pre-cooling operation, carried out within a short period after harvesting,
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 104 prepares the fruit or vegetable for transportation over long distances. iii) Reefer trucks are used to transport the produce at controlled parameters from the pre-cooling unit to the cold storage. The size of these trucks generally varies from one to more than 15 tonnes. iv) Cold storages are centrally located to cater to multiple production zones and pre-cooling units. Depending on factor time, that being how longs the product needs to be stored and the direction it is heading to, the produce is stored at a controlled atmosphere. This slows down the ripening process of the produce enhancing its shelf life. v) The produce is then taken to a processing plant, where it is processed further. 2. HUB AND SPOKE PARADIGM The hub and spoke distribution paradigm resembles a set of connections arranged as the spokes and the wheel [1,3]. A central Fig 1 The interconnected hub and spoke structure juncture joins several nodes signifying efficiency in transportation. The system has several benefits as well as disadvantages but is most likely solution to build a successful cold chain system for the Indian agrarian economy. n this model, we deal with a central hub which may be a Pre-cooling center or a cold store. The individual farmers or independent growers form the other end of the spoke initially in its initial stage. Our proposition of the CobWeb structure involves implementation of HACCP at each point in the supply chain, mapping the chain of custody with probable hazards and weighing them according to risks. Finally, we use Dijkstra's algorithm to figure out the most efficient path. To achieve safety and high efficiency of food cold chain system, it shall take into account of two aspects of restraints when allocate safety reliability: First, the safety constraint, i.e. under the condition of given initial safety reliability, Second, the cost restraint. Table 1 HACCP chart for food supply chain CCP HAZARD LIMIT WEIGHT Purchasing & Checking Raw material quality National standard 20% Loading & Handling Increasing microbial load Working hygiene & storage 15% Storing Cross contamination National storage standards 15% Transport & Distribution Working conditions Real time temperature control system 10% Sorting Biochemical contamination Expertise of professional 10% Processing Chemical contamination National standards 20% 3. COBWEB PARADIGM In this model, we deal with a central hub which may be a Pre- cooling center or a cold store. The individual farmers or independent growers form the other end of the spoke initially in its initial stage. Fig 2 The pre cooling unit [PCF] connected with six unique farmers or point of production 3.1 Single Hub Assignment Pre-Cooling Facility [PCF] acts as the hub and individual farmers [F1,F2,F3........Fn] act as the primary producers acting at the bottom of the supply chain. For a network of n nodes, there will always be n-1 number of routes to connect all nodes to the central hub with a complexity of O(n). Assuming the need to transfer commodities between individual producers,
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 105 the bulk amount of two or more producers are transported to the central hub making the system stable, maintaining same profit level. This compares favorably to the n(n-1)/2 routes or complexity of O(n2) that would be required to connect each node to every other node in a point to point network. Fig 3 Increasing the number of supply points along a path In the above figure, F6, F7 and F8 ship their individual bulk to the nearest individual producer, F1.. A reefer or a suitable carrier then ships the bulk to the pre- cooling unit. Interestingly, with increase in number of players or individual suppliers, the grid becomes more profitable. Small number of prime routes reduces the transportation cost and increases efficiency. Complicated operations like quality assurance, packaging and sorting can be done at the hub and not the farms. This will ensure uniformity of the packaged goods and ensure good returns to individual producers. The model below shows individual producers forming yet another cobweb and joining with a previous structure with a centralized pre cooling unit. A central carrier picks up bulk commodity from four individual producers and transports it to the pre-cooling facility. The individual transportation in between the producers become more efficient with increase in the number of producers. The spoke ends being simple, can be added or deleted with ease without disturbing the complexity of individual routes. Fig 4 Successive formation of cobwebs by individual suppliers creating a mesh structure With increase in number of spokes, they can individually form another spoke and hub model. With each increasing producer, the model becomes more efficient with individual wheels joining to form a bigger circle. Joining individual points, the least distance between the farthest individual producers can be figured out and linked to the pre-cooling unit. 3.2 Multiple Hub Assignment The Pre-Cooling Facility [PCF] now becomes the end of the spoke and the Cold Store [CS] facility acts as the hub. The complexity and efficiency remaining the same, the cold stores can be linked and a network can be established. The model being flexible, allows n number of individual producers, n number of Pre-Cooling facilities and n number of cold store facilities. Fig 5 The pre cooling units forming spokes in the cobweb while the central cooling unit forming the hub 4. PROBABLE SHORTCOMINGS  A centralized system makes day to day operations inflexible. Any change in a hub may result in an entirely different route which may make the operations impossible to be handled in case of unusually high demand in between spokes.  The hub should never be starved. So the route scheduling becomes tougher. Precise traffic scheduling and timing are required to get desired results.  The central hub acts as a limitation. Total cargo capacity of the entire network on one single hub. Any anomaly in hub can result in a shift throughout the supply chain.  The hub is the common point of contact between any two spokes. Arriving at hub is the necessary condition before produce can be exchanged between any two spokes fulfilling any requirement. Hence minimum of two trips is required for transit of goods between any two hubs.
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 106 5. METHODOLOGY The entire transportation chain from origin to destination has been divided into three parts:  The collection part (Origin or supply major)  An interior hub part (transit friend or the α factor)  Distribution part (destination or demand major) The simplest way to ensure a safe transit is to express factor with respect to time. Fig 6 Transit test path The following points when diminished will result in increased time and risk optimization.  Volume / Bulk of transport (B)  Time which it normally takes to reach the destination  Time which it would take if α is increased or changed due the dynamism of system (X AD ) Thus for multiple hub assignment, minimizing the following variables gives us the optimized structure: TAD = TAB + α (TBC + TCD) (1) In a multiple hub system, taking number of reefers k departing from origin a until it leaving the next distribution site b to be a cold chain logistics unit Xab, whose distribution time includes the travel time from distribution site a to b tc abn and the process time at site b (containing loading and unloading time, receiving time and meal time) td bk: tabk = tabk c + t d bk Fresh food requires high timeliness that have to limit its distribution with time. Here, we intend to apply time constraint, consequently the constraint mb≤eb≤nb (where mb is the number of pre cooling units and eb is the arrival time of vehicle at the customer b) are considered for optimization model. The food distribution routing optimization model with time and load is as follows: ajkabk n a m k n b xtcMinY     0 10 (2) Where k is the number of pickup/rest points enroute to destination. Also C = The transportation cost of reefer per unit time tabk= The travel time of the reefer in route section (Va, Vb) tabk=tbak xabk = {1 if the reefer passes through section (Va, Vb) else 0}   n a abkx 0 1 (b=0,1…n); ba  (3)   n a abkx 0 1 (k=1….m); ba  (4)     n b n b abkabk xx 1 1 1 (a=0, k=0,1…m) (5) mb ≤ e b≤ nb (6) mx n b abk m k   01 (i=0) (7) Equation (3) : Multiple reefers may be used but every retail juncture will be serviced just once Equation (4): Single reefer will serve all retail junctures Equation (5): Displacement of every reefer is zero, they start and come back to the same spot Equation (6): Every reefer falls within the purview of safety and timeliness Equation (7): Number of reefers leaving V0 cannot exceed the total number of reefers 6. TRANSIT PROTOTYPES A range of cobweb formats can be formulated keeping in mind decisive factors as management simplicity, availability of cheap labour, demography etc. Their key characteristics, governance mechanism are explored. 6.1 Multiple Spoke Service Model The hub has dedicated spokes servicing it. The hub’s is to set the quality and performance benchmarks, mitigating risks, thus ensuring spokes comply with standards. The spokes act as supply points and inventory control largely lies within the hub.
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 107 Fig 7.Multiple spoke service model Governance Mechanism The inventory control lies at the dedicated hub while spokes ensure regulatory compliance following regional rules in which they are located. In operations, the Hub takes decisions on supply allocation and delegates it to the spokes. Suitable Application This model is best suited when spokes are situated in locations having a specific value proposition which could be low-cost, cultural affinity or agricultural produce which is useful for a particular hub only and not others. This model could be applied with tier - III, IV cities acting as spokes with tier-I, II cities being the hubs. 6.2 Single Spoke Service Model This model involves presence of a Spoke in a geographic location catering to the multiple Hubs across the nation. The Spokes would handle specific set of requests and demands in their area of specialization from the Hubs catering to their respective customer base. Fig 8 Single spoke service Model Governance Mechanism The spoke has a separate layer involved in managing the day to day operations. It has in its discretion prioritizing its work according to demands received from different hubs. This model to some extent mandates some degree of coordination between the spoke and hubs. Suitable Application This scenario typically observed when the spoke has the necessary resources to support one critical demand. An example of this competency could be supply of specific genres of mangoes to national hubs from Nagpur node or supply of apples from Srinagar node. 6.3 Multi Spoke Multi Hub Service Model This model has hubs with multiple shared spokes serving them. Each hub has a network of spokes while each spoke serve multiple hubs. Spokes have internally dedicated supplies to cater to its hubs. Fig 9 Multi spoke multi hub service model Governance Mechanism Spokes report to multiple hubs, there would be a thin managerial layer handling the overall operations of the spokes as it requires some degree of coordination and quality management is carried out at the hubs. Suitable Scenario A spoke is shared when it functions as a pivotal delivery/ supply point that support multiple deliveries/supplies along demand centres. This model is best suited when spokes have supplies which maybe a common requirement at more than one hub, for example, Nellore and Nagpur sharing equal mango production and supplying to rest of India. 7. DESIGNATING HUBS AND SPOKES 7.1 Weighing the Path There may be multiple pathways in between the demand and supply. We use the operational pre requisite programs [OPRPs] to weight each individual path depending on the parameters in that path and form a weighted graph. Using modern tracking technologies, we can have controlled atmosphere reefers which have temperature probes and any deviation from the mean will trigger an alarm and the driver as well as the control centre will be informed. The severity and likelihood may be determined by the freight controller depending on the controlling factors like the time-temp combination, shelf life and the relative humidity.
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 108 α/γ Severity Likelihood Score Temp-Time combination X Y XY Shelf Life A B AB Relative Humidity C D CD In a diverse agronomy like that of India, each different climatic conditions in different parts, fruits and vegetable production is scattered throughout the country. The demand however is more or less equal in every part of the nation. As an example, West Bengal ranks first in production of Pineapples whereas Andhra Pradesh ranks first in production of Tomatoes. The demand for tomatoes is more or less equal in every part of the nation. 7.2 Most Efficient Path Once, the score has been settled on every path, the path can be weighted based on the scores and a weighted di graph can be obtained. Applying the Dijkstra's algorithm on the weighted di graph, we may obtain the least weight path and hence the most efficient one. Fig 10 Weighted paths Assuming more or less equal demand for some high demand produce, we may assign hubs and spoke designation to areas depending on productivity. The spokes need to be weighted depending on prime factors affecting the ease of transportation. The factors may include availability of reefers, the bulk amount to be transported, consumer demand or the political stability. Table-2: Dijkstra's algorithm V1 V2 V3 V4 V5 V6 V7 ∞ 0 ∞ ∞ ∞ ∞ ∞ 1 0 7 ∞ ∞ ∞ ∞ 1 0 4 ∞ ∞ 4 5 1 0 4 14 11 4 5 1 0 4 12 11 4 5 1 0 4 8 7 4 5 8. CONCLUSIONS Ensuring quality and safety of the produce is the most challenging and vital part in its journey from farm to fork. Implementing technology, certifications will work towards a safer food and profitable returns for the producers. Currently, India still employs crude methods of tracking and maintains manual database of goods transported. Using the Hype cycle for food technology in the current scenario, we can spot the most efficient and up to date technology that is stable and will give higher rate of returns eventually. Establishing a cold supply chain in India is a long shot. The existing system is scattered and fragmented. This paper attempts to suggest bridging the gap between the existing system and the system it should be. The emerging technologies cannot be implemented unless a robust chain already exists. If technology is implemented in the current scenario, manufacturers will not only face monetary loss but brand may also get diluted. The technologies presently used globally cannot be replicated in the Indian scenario due to the fragmented system existing in the country. The pre-cooling units need to be modified depending on the type of fruit and vegetable, the variety and the amount. Majority of the cold warehouses have same facilities irrespective of the commodity stored. Generally, the warehouses are of a specified Capacity irrespective of the amount of commodity stored. These factors make the storage costly. Customized supply chain needs to be implemented as majority of the farmers do not have bulk amount to be transported to the pre cooling units directly. We propose designing a community cooling unit with very low capacity (<10 tonne) setup for every 50 farmers. The units may be eco- friendly with solar panels. The farmers can stock their produce till the store reaches its capacity and then a bulk can be transported to the pre-cooling facility. The interconnected hubs [point to point] and the spokes adhering to their respective hubs if implemented throughout the nation will resemble a multiple hub and spoke model [Fig.11] with multiple spokes catering to multiple hubs. In the first phase, individual hubs need to be created aligned to the spokes such that the spokes can efficiently connected to each other and then to the hub. Different hub based on the target area, the production and yield, hubs may be created with the prime districts acting as spokes. In the second phase individual hubs will get connected using a point to point network [P2P] and thus two distinct hubs with n number of spokes each have a free flow within the grid. A nationwide distribution of hubs and spokes will resemble the Fig. 14 with nodes being primary hubs and constituents being end of spokes. Signals are placed strategically in between connections to assure quality of
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 109 transported produce. They also act as a safe point in case of breakdown at any juncture, traffic can be diverted through the signals to the next nearest hub. Fig 11 A cobweb model with in hubs Implementing the hub and spoke model with quality checks at signals, will ensure a smooth flow of produce from the point of production to the consumers. Each path is weighed on the basis of the following parameters:  Integration of resources to provide a consistent customer experience across Spokes throughout the country.  Complex transition management processes.  Navigating the regulatory regimes across Spoke locations tend to be complex. REFERENCES [1]. ABDINNOUR-HELM S. 1998. A hybrid heuristic for the uncapacitated hub location problem. European Journal of Operational Research,2-3(106): 489-499. [2]. ABDINNOUR-HELM S. 2001. Using simulated annealing to solve the p-hub median problem. International Journal of Physical Distribution & Logistics Management, 31(3): 203-220. [3]. ABDINNOUR-HELM S & VENKATARAMANAN MA. 1998. Solution approaches to hub location problems. Annals of Operations Research, 78: 31-50. [4]. ADJIMAN CS, ANDROULAKIS IP & FLOUDAS CA. 1997. Global optimization of MINLP problems in process synthesis and design.Computers & Chemical Engineering, 21(Suppl. S): S445-S450. [5]. ALUMUR SA & KARA BY. 2008. Network hub location problems: The state of the art. European Journal of Operational Research, 190: 1-21. [6]. ALUMUR SA, KARA BY & KARASAN OE. 2009. The design of single allocation incomplete hub networks. ransportation Research Part B, 43: 936-951. [7]. AYKIN T. 1994. Lagrangian relaxation based approaches to capacitated hub-and-spoke networkdesign problem. European Journal of Operational Research, 79: 501-523. [8]. AYKIN T. 1995. Network policies for hub-and-spoke systems with applications to the air transportation system. Transportation Science,29: 201-221. [9]. BENDERS JF. 1962. Partitioning procedures for solving mixed-variables programming problems. Numerisch Mathematik, 4: 238-252. [10]. CAMARGO RS, MIRANDA JR G DE & LUNA HP. 2008. Benders decomposition for the uncapacitated multiple allocation hub location problem. Computers and Operations Research, 35: 1047-1064. [11]. CAMARGO RS, MIRANDA JR G DE, FERREIRA R & LUNA HP. 2009. Multiple allocation hub-and-spoke network design under hub congestion. Computers and Operations Research, 36: 3097-3106. [12]. CAMARGO RS, MIRANDA JR G DE & LUNA HP. 2009. Benders decomposition for hub location problems with economies of scale.Transportation Science, 43: 86-97. [13]. CAMARGO RS, MIRANDA JR G DE & FERREIRA RPM. 2011. A hybrid outer-approximation/benders decomposition algorithm for the single allocation hub location problem under congestion. Operations Research Letters, 39(5): 329-337. [14]. CAMPBELL JF. 1994. Integer programming formulations of discrete hub location problems. European Journal of Operational Research,72: 387-405. [15]. CAMPBELL JF. 1994. A survey of network hub location. Studies in Locational Analysis, 6: 31-49. [16]. CAMPBELL JF, ERNST AT & KRISHNAMOORTHY M. 2002. Hub location problems. In: Drezner Z and Hamacher HW (editors), Facility Location: Applications and Theory, chapter 12, pages 373-407. Springer, 1st edition. [17]. CHEN JF. 2007. A hybrid heuristic for the uncapacitated single allocation hub location problem. Omega, 35: 211-220. [18]. CONTRERAS I, FERNANDEZ E & MARN A. 2010. The tree of hubs location problem. European Journal of Operational Research, 202: 390-400. [19]. CORDEAU JF, SOUMIS F & DESROSIERS J. 2001. Simultaneous assignment of locomotives and cars to passenger trains. Operations Research, 49(4): 531-548. [20]. COSTA M DA G, CAPTIVO ME & CLÍMACO J. 2008. Capacitated single allocation hub location problema bi-criteria approach.Computers and Operations Research, 35(11): 3671- 3695. [21]. CUNHA CB & SILVA MR. 2007. A genetic algorithm for the problem of configuring a hub-and-spoke network for a LTL trucking company in Brazil. European Journal of Operational Research, 179: 747-758. [22]. DESAI J & SEN S. 2010. A global optimization algorithm for reliable network design. European Journal of Operational Research,200(1): 1-8.
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 110 [23]. DURAN MA & GROSSMANN IE. 1986. An outer- approximation algorithm for a claar of mixed-integer nonlinear programs.Mathematical Programming, 36: 307. [24]. EBERY J. 2001. Solving large single allocation p-hub problems with two or three hubs. European Journal of Operational Research,128(2): 447-458. [25]. EBERY J, KRISHNAMOORTHY M, ERNST A & BOLAND N. 2000. The capacitated multipleallocation hub location problema: Formulations and algorithms. European Journal of Operational Research, 120: 614-631. BIOGRAPHIES Gourab Chatterjee Working as an Assistant Professor in the Department of Food Technology, Haldia Institute of Technology. Area of interest includes in Novel extraction techniques for phytochemicals, Modeling and optimization of batch fermentation processes, Food safety and cold chain management. Debashish Bhattacharya, An engineering undergraduate at the Department of Food Technology, Haldia Institute of Technology, his area of interest includes Mathematical modeling of food processes and formulation of neutraceuticals