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International Journal of Engineering Inventions
e-ISSN: 2278-7461, p-ISSN: 2319-6491
Volume 3, Issue 7 (February 2014) PP: 56-62
www.ijeijournal.com Page | 56
AHP Method for Selecting Third Party Logistics Provider:
Application in Emergency Department
Jlassi Jihene
1
ISGI de Sfax Route Mharza, Km 1.5-B.P954-3018 Sfax., Tunisia
ABSTRACT:-The selection of third party logistics (TPL) providers is an important issue for enterprises to
outsource their logistics business. In this paper we propose a comprehensive evaluation model for TPL
suppliers based on AHP method. Furthermore, we Base on the evaluation index system including logistics cost,
the logistics operation efficiency and the basic qualities of service. The efficiency and application of the
proposed approach has been illustrated with a case study in Emergency Department of Sfax hospital.
Keywords: - Third Party Logistics, AHP, Emergency Department
I. Introduction
Third party logistics (TPL) has become more important for logistic sector in recent years. Companies
want to reduce the costs and provide customer satisfaction exactly. They don’t want to deal with logistics
problems, so they prefer special firms for some or all of their logistics operations. Therefore, a third party
logistics (TPL) business is emerging and developing rapidly to fulfill the demands for advanced logistics
services, in such fields as, transportation, warehousing, freight consolidation and distribution, product marking,
labeling and packaging, inventory management, cross docking, product returns, order management and logistics
information systems (Rabinovich et al , 1999).
Many definitions and interpretations of TPL can be found in the literature (Skjoett-Larsen, 2000).
According to Lieb (1992), TPL involves the use of external companies to perform logistics functions that have
traditionally been performed within an organization. The functions performed by the third party can encompass
the entire logistics process or selected activities within that process.
Bask (2001) describes TPL as relationships between interfaces in the supply chains and third-party
logistics providers, where logistics services are offered, from basic to customized ones, in a shorter or long term
relationship, with the aim of effectiveness and efficiency.
Coyle et al. (2003) suggest that TPL involves an external organization that performs all or part of a
company’s logistics functions.
In order to concentrate on their main business, enterprises often outsource their logistics to a third-party
logistics provider. So they can not only save the cost of logistics enterprises related, but also enhance their
flexibility and adaptability. Therefore, how to choose the most suitable third-party logistics provider becomes an
important problem for enterprises.
To achieve this objective, we present in the first section, the TPLs providers characteristics. In the
second section, criteria for selecting of TPL provider are examined. The third section gives a description the
TPL supplier methods review. The section four presents a proposed model followed by an interpretation of the
results. We end with some conclusions and further research directions.
II. Criteria for Selection of TPL Provider
The selection of a supplier for partnership is perhaps the most important step in creating a successful
alliance. Rushing into buyer–supplier relationship without adequate preparation or understanding of partners
needs often lead to the failure of relationships (Vanhaverbeke et al, 2002).
Supplier selection decisions are complicated by the fact that various criteria must be considered
throughout the decision making process. Analysis of such criteria and measuring suppliers’ performances has
been the focus of many researchers for approximately four decades. (Tug˘ba, 2007).
The study conducted with several customers of TPLs providers in 2003 by the International Warehouse
Logistics Association (IWLA), which gathers more than 550 logistics companies of North America, shows the
change in the selection criteria rankings (see table1) (Aicha Aguezzoul et al, 2006)
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 57
Table 1. TPL providers’ selection factors
Penny(2002)put forward an index system of third-party logistics provider selection including
environmental facilities, customer service, warehousing and storage, financial status, customer relationship
management, transportation, leadership and technical staff, geography, education and training, value-added
service, etc.
Colson and Dorigo (2004) present a software tool which allows selecting public warehouses. Their
extensive list of decision criteria includes: storage surface and volume, dangerous items, possibility for
temperature control, separation of storage areas, control for temperature humidity, ventilation, offices on site,
geographical distance to highway connection, train, waterways, certification (ISO 9001/9002, SQAS, HACCP),
opening hours, assistance with customs, use of technology such as RFID/Barcoding, modem connection,
handling equipment (electric, gas and diesel/petrol forklifts) number and characteristics of docks.
The table 2 below presents the different criteria selection used in the tool of Aicha Aguezzoul et al (2006)
paper.
Table 2. Main and secondary criteria of the tool (Aicha Aguezzoul et al, 2006)
Hao-Tien Liu et al (2009) select the following criteria for the subsequent evaluation process (table 3)
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 58
Table3. Evaluation criteria for provider selection (Hao-Tien Liu et al, 2009)
C1 Price
C2 Financial considerations
C3 Experience in the similar industry
C4 Location
C5 Asset Ownership
C7 Growth forecasts
C8 Market share
C9 Logistics equipment
C10 Optimization capability
C11 Customer service
C12 EDI capacity
C13 Customer service
C14 On-time shipments and deliveries
C15 Capability to handle specific business requirements
C16 Responsiveness
C17 Service quality
C18 Continuous improvement
C19 Value-added services
C20 KPI (Key Performance Indicator) measurement and reporting
C21 Accessibility of contact persons in urgency
C22 Cultural fit
C23 General reputation
C24 Service concellation
C25 Human resource policies
C26 Availability of qualified talent
The proposed decision-making methodology of Govindan Kannan et al (2009) have been applied to a
case of battery recycling industry in India where all the elements of batteries are recycled and reused by
manufacturing companies. In order to reduce the total cost incurred in battery manufacturing, the spent or used
lead-acid batteries are collected by the 3PRLP and they are broken down and separated into components to
begin the recycling process.
Therefore, how to choose the most suitable third-party logistics provider becomes an important
problem for enterprises. Seven criteria, as given in table 4, were identified for decision-making on 3PRLP.
Table 4. Criteria used for the selection of 3PRLP (Govindan Kannan et al, 2009)
Criteria Explanation
1. Quality (Q) It covers product performance, accuracy, etc. and also 3PRLP’s
quality awareness, inspection methods, etc.
2. Delivery (D) It refers to 3PRLP’s ability to meet delivery schedules. It covers
flexibility and reliability of delivery, lead time, etc.
3. Reverse Logistics Cost (C) It includes inspection cost, inventory cost, transportation cost,
packaging cost, material handling cost, warehousing cost, etc.
4. Rejection rate (R) It refers to inability of the returned product to meet the quality
specification consistently for the recycling process.
5. Technical /Engineering
Capability (T)
It refers to the availability of technical manpower, state of art
reprocessing technology. R&D facilities, capability to perform
reverse logistics function, etc.
6. Inability to meet future
requirement (I)
It refers to the inability to meet the expected demand, ie. Return
ramp-up co-ordination.
7. Willingness and attitude
(W)
It refers to the attitude of the 3PRLP towards the buyer and its
willingness to do reverse logistics business with the buyer
Therefore, how to choose the most suitable third-party logistics provider becomes an important problem for
enterprises.
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 59
III. The Third- Party Logistics Supplier Methods Review
In the process choosing the third-party logistics providers, the methods are mainly two types of
qualitative and quantitative. Supplier selection methods are mainly qualitative experience to determine the
method, public tender law, selection method consultation, benchmarking method, etc. Currently, domestic and
international supplier selection method for the study focused on quantitative models. (Guoyi Xiu et al, 2012)
The tool proposed in the paper of Aicha Aguezzoul et al (2006) used ELECTRE method to classify the TPLs
providers from the best one to the worst regarding a set of criteria.
The paper of Hao-Tien Liu et al (2009) presented an integrated fuzzy approach for the evaluation and
selection of TPL providers. This method consists of three different techniques: (1) used fuzzy Delphi method to
identify important evaluation criteria; (2) applied fuzzy inference method to eliminate unsuitable TPL providers;
and, (3) developed a fuzzy linear assignment approach for the final selection. The proposed method enables
decision analysts to better understand the complete evaluation process of TPL selection.
Yaohuang Guo (1999) established an AHP judgment matrix of supplier evaluation with quality, price,
technical ability and distribution reliability.
Pengju Ma et al (1999) used fuzzy analytic hierarchy process (F-AHP) to choose partners.
In the paper of Guiyun Liu et al (2012), a new integrated model was put forward for selecting 3PL
providers based on support vector machine (SVM) and fuzzy analytic hierarchy process (FAHP). In the first
stage, the support vector machine (SVM) was used to classify the primary TPL provider samples into four types
which are excellent, good, medium and bad respectively. Then authors can obtain the excellent samples which
are the candidates for the second stage selection. In the second stage, the FAHP was used to evaluate the
selected excellent samples in the first stage, so they can obtain the sorting results for the excellent samples and
the optimal samples. The results of the case study show that the model was reasonable and effective and it can
provide an important reference for enterprises to select TPL providers.
In the study of Govindan Kannan et al (2009) as multi-criteria group decision making (MCGDM)
model in fuzzy environment was developed to guide the selection process of best 3PRLP. The interactions
among the criteria were also analyzed before arriving at a decision for the selection of 3PRLP from among 15
alternatives. The analysis was done through Interpretive Structural Modeling (ISM) and fuzzy technique for
order preference by similarity to ideal solution (TOPSIS). Finally the effectiveness of the model was illustrated
using a case study on battery manufacturing industry in India.
Through the above analysis, in actual work, analytic hierarchy process (AHP) is used more mature
evaluation model; therefore it is feasible to use AHP as the evaluation model TPL.
IV. Proposed Model
IV.1. Method presentation
The Analytical Hierarchy Process (AHP) is a powerful and flexible decision-making process (Saaty,
2000) to help managers set priorities and make the best decision when both qualitative and quantitative aspects
of a decision need to be considered. AHP occurs in two phases: hierarchy design, which involves decomposing
the decision problem into a hierarchy of interrelated decision elements (i.e., goal, and evaluation criteria) and
hierarchy evaluation, which involves determining the weights of the criteria and synthesizing these weights and
preferences to determine alternative priorities.
IV.2. Case Study
Emergency Department is one of the most in the hospital. The Centre for Disease Control defines an
“emergency department” as a hospital facility for the provision of unscheduled outpatient services to patients
whose conditions require immediate care and is staffed 24 hours a day.
The World Health Organisation has defined provision of basic life support to all risk situations
involving people and goods as a main objective of an Emergency Medical Services.
Emergency Departments is the place of welcome of all patients that present themselves to the hospital
for a consultation or a hospitalisation and whose hold has not been programmed in charge. (Bellou et al, 2003).
Hospital emergency departments (ED) provide the first line of response to life-threatening injuries and illnesses.
The ED is the one place in the health care delivery system where a person cannot be denied services regardless
of insurance coverage or ability to pay. The ED also serves as the provider of last resort for persons who cannot
access care elsewhere.
IV.3. Context this study
Habib Bourguiba hospital is presented as follows:
 Hospital-academic centre since 1985 ;
 Erected in public establishment of health since 1993.
The missions of the hospital are:
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 60
 To lavish current pathology cares and essentially cares of reference;
 To assure the formation convenient of basis and retraining of the medical and decorate-medical
personnel
 To develop the activity of research in the medical domain and cares male nurses.
The hospital includes 18 Departments; most important it is the Emergency Department that represents
the door of entrance of the hospital.
The geographical situation of the Sfax city to the centre of the country, point of link between the south
and the north of the country, makes that the Emergency Department receives an important number of casualties
of the public way. As second economic and industrial pole sheltering a lot of companies, the city knows an
elevated number of work casualties.
The department includes:
 2 rooms of care;
 1 room of plaster;
 2 post office;
 1 room of general surgery ;
 1 room of orthopedy;
 1 room of visiting medical;
 The average number of patients in day is +_300,
 The number of personnel is 13.
The process of the patient is for the arrival of the patient, we distinguish 2 possibilities: either he will
come by himself or, in dangerous cases, he will be transported by the ambulance. At the arrival, the patient will
pass by a triage process that will define the Emergency degree and then the process that will be taken by the
patient. In fact, as shown in the above model, there are two processes that can be taken by the patient, given the
result of the triage process.
In both cases, the remaining process will be almost the same. In fact, the main difference concerns the
administrative process. Thus, for a dangerous case, this process will be reported at the end of the patient process
while for a non dangerous case, this process will be at the beginning of the whole process.
The remaining tasks of the process are the same as those of a normal consultation process. In fact, the patient
will see a doctor who will determine the patient’s state and if necessary ask for supplementary analysis. Given
the analysis results, the doctor will either care the patient by him self or ask for a specialist. In both cases, the
patient could be hospitalized or go home.
We notice according to results obtained by (Jlassi et al, 2007) and (Jlassi, 2009) that the waiting time
of the specialist doctors occupies the big part of time of patient waiting, it is between 0 and 300 minutes. Then
we find that the waiting time of analysis occupies the second part of patient waiting time (about 170 minutes).
Physicians dedicate waiting time of 35 minutes. Finally we conclude that the radiology and the standardization
occupy the last class of time of patient waiting.
In thesis of (Jlassi, 2009) we proposed and tested some solutions in order to decrease the waiting time
of the specialist physicians to use simulation model and multicriteria decision method.
In this paper we’ll be interested by decreasing the waiting time of analysis. In this way we have proposed to
responsible of the department to outsourcing this activity and to choose the best third party logistics.
IV.4. Application
Our model is based on the evaluation index system including cost, operation efficiency and quality of
service. In this paper the evaluation and selection of TPL’ service is based on AHP.
We’ll base on the same process of Jianliang Peng (2012). The evaluation of TPL’service is presented by this
figure:
Figure1. The hierarchical analysis model of logistics service supplier evaluation
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 61
Table 5 presents the judgment matrix of goals.
Table5. Judgment matrix of goals
A B1 B2 B3
B1 1 0.333 0.2
B2 3 1 5
B3 5 0.2 1
Table6 shows the result of each column element processing the judgment matrix.
Table6. The result of each column element normalized processing of the judgment matrix
A B1 B2 B3
B1 0.111 0.217 0.032
B2 0.333 0.652 0.806
B3 0.556 0.131 0.162
The results normally processed for Wi are presented in table 7
Table7. The result normally processed for Wi
W1 W2 W3
0.2 0.5 0.3
Table 8 shows the results of two matrix multiplication
Table8. The result of two matrix multiplication
0.426 2.6 1.4
According to the previous results max
3.996 
Test the consistency and the result is CI= 0.0498
At the same time by checking on the table and the result is: CR= 0.085.
Using the formula and steps the judgment matrix and consistency test result of secondary indexes including cost,
operation efficiency and service quality show in table9 and Table 10.
Table9. The judgment matrix of cost
C1 C2 Wi
C1 1 5 0.6
C2 0.2 1 0.4
max
2.56 
; CI= 0.65; CR= 0
Table10. The judgment matrix of operation efficiency
C3 C4 Wi
C3 1 0.2 0.4
C4 5 1 0.6
max
2.65 
CR=0
Can see CR<0.1 for all single sort of secondary index therefore each of the consistency of the judgment
matrix is acceptable.
For the total sorting of the matrix, CW is the product between the weight matrix of target layer and the
weight matrix of criterion layer. Calculation results shows in table 11.
Table11. Total sorting of the judgment matrix
B1
0.2
B2
0.5
B3
0.3
CWi
C1 0.6 0.12
C2 0.4 0.08
C3 0.4 0.2
C4 0.6 0.3
C5 1 0.3
Patient satisfaction and operation accuracy are the most important their weights are 30%.
AHP Method for Selecting Third Party Logistics Provider: Application in…
www.ijeijournal.com Page | 62
Table12.the indices of TPL A,B and C
A B C
X1 6 7 8
X2 9 6 7
X3 6 8 7
X4 7 6 8
X5 8 7 6
Combined with the calculation result of weight CW, according to formula i
Y CwX  the
synthesis scores of TPL A, B and C are: 7.14, 6.82 and 7.12 respectively. Abviously TPL’A is the best choice.
V. Conclusion
In this paper we evaluated and selected a TPL provider in ED of Sfax hospital to improve the service
and to decreasing the waiting time of analysis. The evaluation index system including: cost, operation
efficiency and quality of service. We used the AHP method.
In future work we’ll propose to add others criteria in the model to choose the TPL provider.
REFERENCES
[1]. Akerkar, R. A.; Lingras, P. An Intelligent Web: Theory and Practice, 1st edn. 2008,Johns and Bartlett, Boston.
[2]. Albert, R.; Jeong, H.; Barab´asi, A.-L. Diameter of the world-wide Web. Nature,1999, 401, pp. 130–131.
[3]. Berry M. W., Dumais S. T., O’Brien G. W. Using linear algebra for intelligent information retrieval, SIAM Review, 1995, 37, pp.
573-595.
[4]. Bharat, K.; Broder, A. A technique for measuring the relative size and overlap of public Web search engines. Computer Networks,
1998, 30(1–7), pp. 107–117.
[5]. Broder, A.; Kumar, R.; Maghoul, F.; Raghavan, P.; Rajagopalan, S.; Stata, R.; Tomkins, A.; Wiener, J. Graph structure in the Web.
Computer Networks, 2000, 33(1–6), pp. 309–320.
[6]. Chakrabarti, S. Data mining for hypertext: A tutorial survey. SIGKDD explorations, 2000, 1(2), pp. 1–11.

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AHP Method for Selecting Third Party Logistics Provider: Application in Emergency Department

  • 1. International Journal of Engineering Inventions e-ISSN: 2278-7461, p-ISSN: 2319-6491 Volume 3, Issue 7 (February 2014) PP: 56-62 www.ijeijournal.com Page | 56 AHP Method for Selecting Third Party Logistics Provider: Application in Emergency Department Jlassi Jihene 1 ISGI de Sfax Route Mharza, Km 1.5-B.P954-3018 Sfax., Tunisia ABSTRACT:-The selection of third party logistics (TPL) providers is an important issue for enterprises to outsource their logistics business. In this paper we propose a comprehensive evaluation model for TPL suppliers based on AHP method. Furthermore, we Base on the evaluation index system including logistics cost, the logistics operation efficiency and the basic qualities of service. The efficiency and application of the proposed approach has been illustrated with a case study in Emergency Department of Sfax hospital. Keywords: - Third Party Logistics, AHP, Emergency Department I. Introduction Third party logistics (TPL) has become more important for logistic sector in recent years. Companies want to reduce the costs and provide customer satisfaction exactly. They don’t want to deal with logistics problems, so they prefer special firms for some or all of their logistics operations. Therefore, a third party logistics (TPL) business is emerging and developing rapidly to fulfill the demands for advanced logistics services, in such fields as, transportation, warehousing, freight consolidation and distribution, product marking, labeling and packaging, inventory management, cross docking, product returns, order management and logistics information systems (Rabinovich et al , 1999). Many definitions and interpretations of TPL can be found in the literature (Skjoett-Larsen, 2000). According to Lieb (1992), TPL involves the use of external companies to perform logistics functions that have traditionally been performed within an organization. The functions performed by the third party can encompass the entire logistics process or selected activities within that process. Bask (2001) describes TPL as relationships between interfaces in the supply chains and third-party logistics providers, where logistics services are offered, from basic to customized ones, in a shorter or long term relationship, with the aim of effectiveness and efficiency. Coyle et al. (2003) suggest that TPL involves an external organization that performs all or part of a company’s logistics functions. In order to concentrate on their main business, enterprises often outsource their logistics to a third-party logistics provider. So they can not only save the cost of logistics enterprises related, but also enhance their flexibility and adaptability. Therefore, how to choose the most suitable third-party logistics provider becomes an important problem for enterprises. To achieve this objective, we present in the first section, the TPLs providers characteristics. In the second section, criteria for selecting of TPL provider are examined. The third section gives a description the TPL supplier methods review. The section four presents a proposed model followed by an interpretation of the results. We end with some conclusions and further research directions. II. Criteria for Selection of TPL Provider The selection of a supplier for partnership is perhaps the most important step in creating a successful alliance. Rushing into buyer–supplier relationship without adequate preparation or understanding of partners needs often lead to the failure of relationships (Vanhaverbeke et al, 2002). Supplier selection decisions are complicated by the fact that various criteria must be considered throughout the decision making process. Analysis of such criteria and measuring suppliers’ performances has been the focus of many researchers for approximately four decades. (Tug˘ba, 2007). The study conducted with several customers of TPLs providers in 2003 by the International Warehouse Logistics Association (IWLA), which gathers more than 550 logistics companies of North America, shows the change in the selection criteria rankings (see table1) (Aicha Aguezzoul et al, 2006)
  • 2. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 57 Table 1. TPL providers’ selection factors Penny(2002)put forward an index system of third-party logistics provider selection including environmental facilities, customer service, warehousing and storage, financial status, customer relationship management, transportation, leadership and technical staff, geography, education and training, value-added service, etc. Colson and Dorigo (2004) present a software tool which allows selecting public warehouses. Their extensive list of decision criteria includes: storage surface and volume, dangerous items, possibility for temperature control, separation of storage areas, control for temperature humidity, ventilation, offices on site, geographical distance to highway connection, train, waterways, certification (ISO 9001/9002, SQAS, HACCP), opening hours, assistance with customs, use of technology such as RFID/Barcoding, modem connection, handling equipment (electric, gas and diesel/petrol forklifts) number and characteristics of docks. The table 2 below presents the different criteria selection used in the tool of Aicha Aguezzoul et al (2006) paper. Table 2. Main and secondary criteria of the tool (Aicha Aguezzoul et al, 2006) Hao-Tien Liu et al (2009) select the following criteria for the subsequent evaluation process (table 3)
  • 3. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 58 Table3. Evaluation criteria for provider selection (Hao-Tien Liu et al, 2009) C1 Price C2 Financial considerations C3 Experience in the similar industry C4 Location C5 Asset Ownership C7 Growth forecasts C8 Market share C9 Logistics equipment C10 Optimization capability C11 Customer service C12 EDI capacity C13 Customer service C14 On-time shipments and deliveries C15 Capability to handle specific business requirements C16 Responsiveness C17 Service quality C18 Continuous improvement C19 Value-added services C20 KPI (Key Performance Indicator) measurement and reporting C21 Accessibility of contact persons in urgency C22 Cultural fit C23 General reputation C24 Service concellation C25 Human resource policies C26 Availability of qualified talent The proposed decision-making methodology of Govindan Kannan et al (2009) have been applied to a case of battery recycling industry in India where all the elements of batteries are recycled and reused by manufacturing companies. In order to reduce the total cost incurred in battery manufacturing, the spent or used lead-acid batteries are collected by the 3PRLP and they are broken down and separated into components to begin the recycling process. Therefore, how to choose the most suitable third-party logistics provider becomes an important problem for enterprises. Seven criteria, as given in table 4, were identified for decision-making on 3PRLP. Table 4. Criteria used for the selection of 3PRLP (Govindan Kannan et al, 2009) Criteria Explanation 1. Quality (Q) It covers product performance, accuracy, etc. and also 3PRLP’s quality awareness, inspection methods, etc. 2. Delivery (D) It refers to 3PRLP’s ability to meet delivery schedules. It covers flexibility and reliability of delivery, lead time, etc. 3. Reverse Logistics Cost (C) It includes inspection cost, inventory cost, transportation cost, packaging cost, material handling cost, warehousing cost, etc. 4. Rejection rate (R) It refers to inability of the returned product to meet the quality specification consistently for the recycling process. 5. Technical /Engineering Capability (T) It refers to the availability of technical manpower, state of art reprocessing technology. R&D facilities, capability to perform reverse logistics function, etc. 6. Inability to meet future requirement (I) It refers to the inability to meet the expected demand, ie. Return ramp-up co-ordination. 7. Willingness and attitude (W) It refers to the attitude of the 3PRLP towards the buyer and its willingness to do reverse logistics business with the buyer Therefore, how to choose the most suitable third-party logistics provider becomes an important problem for enterprises.
  • 4. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 59 III. The Third- Party Logistics Supplier Methods Review In the process choosing the third-party logistics providers, the methods are mainly two types of qualitative and quantitative. Supplier selection methods are mainly qualitative experience to determine the method, public tender law, selection method consultation, benchmarking method, etc. Currently, domestic and international supplier selection method for the study focused on quantitative models. (Guoyi Xiu et al, 2012) The tool proposed in the paper of Aicha Aguezzoul et al (2006) used ELECTRE method to classify the TPLs providers from the best one to the worst regarding a set of criteria. The paper of Hao-Tien Liu et al (2009) presented an integrated fuzzy approach for the evaluation and selection of TPL providers. This method consists of three different techniques: (1) used fuzzy Delphi method to identify important evaluation criteria; (2) applied fuzzy inference method to eliminate unsuitable TPL providers; and, (3) developed a fuzzy linear assignment approach for the final selection. The proposed method enables decision analysts to better understand the complete evaluation process of TPL selection. Yaohuang Guo (1999) established an AHP judgment matrix of supplier evaluation with quality, price, technical ability and distribution reliability. Pengju Ma et al (1999) used fuzzy analytic hierarchy process (F-AHP) to choose partners. In the paper of Guiyun Liu et al (2012), a new integrated model was put forward for selecting 3PL providers based on support vector machine (SVM) and fuzzy analytic hierarchy process (FAHP). In the first stage, the support vector machine (SVM) was used to classify the primary TPL provider samples into four types which are excellent, good, medium and bad respectively. Then authors can obtain the excellent samples which are the candidates for the second stage selection. In the second stage, the FAHP was used to evaluate the selected excellent samples in the first stage, so they can obtain the sorting results for the excellent samples and the optimal samples. The results of the case study show that the model was reasonable and effective and it can provide an important reference for enterprises to select TPL providers. In the study of Govindan Kannan et al (2009) as multi-criteria group decision making (MCGDM) model in fuzzy environment was developed to guide the selection process of best 3PRLP. The interactions among the criteria were also analyzed before arriving at a decision for the selection of 3PRLP from among 15 alternatives. The analysis was done through Interpretive Structural Modeling (ISM) and fuzzy technique for order preference by similarity to ideal solution (TOPSIS). Finally the effectiveness of the model was illustrated using a case study on battery manufacturing industry in India. Through the above analysis, in actual work, analytic hierarchy process (AHP) is used more mature evaluation model; therefore it is feasible to use AHP as the evaluation model TPL. IV. Proposed Model IV.1. Method presentation The Analytical Hierarchy Process (AHP) is a powerful and flexible decision-making process (Saaty, 2000) to help managers set priorities and make the best decision when both qualitative and quantitative aspects of a decision need to be considered. AHP occurs in two phases: hierarchy design, which involves decomposing the decision problem into a hierarchy of interrelated decision elements (i.e., goal, and evaluation criteria) and hierarchy evaluation, which involves determining the weights of the criteria and synthesizing these weights and preferences to determine alternative priorities. IV.2. Case Study Emergency Department is one of the most in the hospital. The Centre for Disease Control defines an “emergency department” as a hospital facility for the provision of unscheduled outpatient services to patients whose conditions require immediate care and is staffed 24 hours a day. The World Health Organisation has defined provision of basic life support to all risk situations involving people and goods as a main objective of an Emergency Medical Services. Emergency Departments is the place of welcome of all patients that present themselves to the hospital for a consultation or a hospitalisation and whose hold has not been programmed in charge. (Bellou et al, 2003). Hospital emergency departments (ED) provide the first line of response to life-threatening injuries and illnesses. The ED is the one place in the health care delivery system where a person cannot be denied services regardless of insurance coverage or ability to pay. The ED also serves as the provider of last resort for persons who cannot access care elsewhere. IV.3. Context this study Habib Bourguiba hospital is presented as follows:  Hospital-academic centre since 1985 ;  Erected in public establishment of health since 1993. The missions of the hospital are:
  • 5. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 60  To lavish current pathology cares and essentially cares of reference;  To assure the formation convenient of basis and retraining of the medical and decorate-medical personnel  To develop the activity of research in the medical domain and cares male nurses. The hospital includes 18 Departments; most important it is the Emergency Department that represents the door of entrance of the hospital. The geographical situation of the Sfax city to the centre of the country, point of link between the south and the north of the country, makes that the Emergency Department receives an important number of casualties of the public way. As second economic and industrial pole sheltering a lot of companies, the city knows an elevated number of work casualties. The department includes:  2 rooms of care;  1 room of plaster;  2 post office;  1 room of general surgery ;  1 room of orthopedy;  1 room of visiting medical;  The average number of patients in day is +_300,  The number of personnel is 13. The process of the patient is for the arrival of the patient, we distinguish 2 possibilities: either he will come by himself or, in dangerous cases, he will be transported by the ambulance. At the arrival, the patient will pass by a triage process that will define the Emergency degree and then the process that will be taken by the patient. In fact, as shown in the above model, there are two processes that can be taken by the patient, given the result of the triage process. In both cases, the remaining process will be almost the same. In fact, the main difference concerns the administrative process. Thus, for a dangerous case, this process will be reported at the end of the patient process while for a non dangerous case, this process will be at the beginning of the whole process. The remaining tasks of the process are the same as those of a normal consultation process. In fact, the patient will see a doctor who will determine the patient’s state and if necessary ask for supplementary analysis. Given the analysis results, the doctor will either care the patient by him self or ask for a specialist. In both cases, the patient could be hospitalized or go home. We notice according to results obtained by (Jlassi et al, 2007) and (Jlassi, 2009) that the waiting time of the specialist doctors occupies the big part of time of patient waiting, it is between 0 and 300 minutes. Then we find that the waiting time of analysis occupies the second part of patient waiting time (about 170 minutes). Physicians dedicate waiting time of 35 minutes. Finally we conclude that the radiology and the standardization occupy the last class of time of patient waiting. In thesis of (Jlassi, 2009) we proposed and tested some solutions in order to decrease the waiting time of the specialist physicians to use simulation model and multicriteria decision method. In this paper we’ll be interested by decreasing the waiting time of analysis. In this way we have proposed to responsible of the department to outsourcing this activity and to choose the best third party logistics. IV.4. Application Our model is based on the evaluation index system including cost, operation efficiency and quality of service. In this paper the evaluation and selection of TPL’ service is based on AHP. We’ll base on the same process of Jianliang Peng (2012). The evaluation of TPL’service is presented by this figure: Figure1. The hierarchical analysis model of logistics service supplier evaluation
  • 6. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 61 Table 5 presents the judgment matrix of goals. Table5. Judgment matrix of goals A B1 B2 B3 B1 1 0.333 0.2 B2 3 1 5 B3 5 0.2 1 Table6 shows the result of each column element processing the judgment matrix. Table6. The result of each column element normalized processing of the judgment matrix A B1 B2 B3 B1 0.111 0.217 0.032 B2 0.333 0.652 0.806 B3 0.556 0.131 0.162 The results normally processed for Wi are presented in table 7 Table7. The result normally processed for Wi W1 W2 W3 0.2 0.5 0.3 Table 8 shows the results of two matrix multiplication Table8. The result of two matrix multiplication 0.426 2.6 1.4 According to the previous results max 3.996  Test the consistency and the result is CI= 0.0498 At the same time by checking on the table and the result is: CR= 0.085. Using the formula and steps the judgment matrix and consistency test result of secondary indexes including cost, operation efficiency and service quality show in table9 and Table 10. Table9. The judgment matrix of cost C1 C2 Wi C1 1 5 0.6 C2 0.2 1 0.4 max 2.56  ; CI= 0.65; CR= 0 Table10. The judgment matrix of operation efficiency C3 C4 Wi C3 1 0.2 0.4 C4 5 1 0.6 max 2.65  CR=0 Can see CR<0.1 for all single sort of secondary index therefore each of the consistency of the judgment matrix is acceptable. For the total sorting of the matrix, CW is the product between the weight matrix of target layer and the weight matrix of criterion layer. Calculation results shows in table 11. Table11. Total sorting of the judgment matrix B1 0.2 B2 0.5 B3 0.3 CWi C1 0.6 0.12 C2 0.4 0.08 C3 0.4 0.2 C4 0.6 0.3 C5 1 0.3 Patient satisfaction and operation accuracy are the most important their weights are 30%.
  • 7. AHP Method for Selecting Third Party Logistics Provider: Application in… www.ijeijournal.com Page | 62 Table12.the indices of TPL A,B and C A B C X1 6 7 8 X2 9 6 7 X3 6 8 7 X4 7 6 8 X5 8 7 6 Combined with the calculation result of weight CW, according to formula i Y CwX  the synthesis scores of TPL A, B and C are: 7.14, 6.82 and 7.12 respectively. Abviously TPL’A is the best choice. V. Conclusion In this paper we evaluated and selected a TPL provider in ED of Sfax hospital to improve the service and to decreasing the waiting time of analysis. The evaluation index system including: cost, operation efficiency and quality of service. We used the AHP method. In future work we’ll propose to add others criteria in the model to choose the TPL provider. REFERENCES [1]. Akerkar, R. A.; Lingras, P. An Intelligent Web: Theory and Practice, 1st edn. 2008,Johns and Bartlett, Boston. [2]. Albert, R.; Jeong, H.; Barab´asi, A.-L. Diameter of the world-wide Web. Nature,1999, 401, pp. 130–131. [3]. Berry M. W., Dumais S. T., O’Brien G. W. Using linear algebra for intelligent information retrieval, SIAM Review, 1995, 37, pp. 573-595. [4]. Bharat, K.; Broder, A. A technique for measuring the relative size and overlap of public Web search engines. Computer Networks, 1998, 30(1–7), pp. 107–117. [5]. Broder, A.; Kumar, R.; Maghoul, F.; Raghavan, P.; Rajagopalan, S.; Stata, R.; Tomkins, A.; Wiener, J. Graph structure in the Web. Computer Networks, 2000, 33(1–6), pp. 309–320. [6]. Chakrabarti, S. Data mining for hypertext: A tutorial survey. SIGKDD explorations, 2000, 1(2), pp. 1–11.