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F. W. HARRIS – EOQ MODEL 
Shah Rukh Zafar Suri 
(C) 
Inzamam Ashraf (L) 
Kashif Bashir 
Asad Mustafa 
Muhammad Imtiaz 
Sajid Mehmood
INTRODUCTION (F. W. HARRIS) 
Asad Mustafa
INTRODUCTION OF F. W. HARRIS 
 Born in Deering, Maine on August 8, 1877 
 Parents are Fred Ford and Harriet Whitney 
(Fox) Harris 
 His major contribution as a management 
scientist is admirable
F.W. Harris (1877-1962)
HOBBIES 
 Thoroughly enjoyed life in Los Angeles and 
the American West 
 Enthusiastic and lifelong golfer, although only 
an average player 
 Trout fishing and took many pack trips to 
inaccessible area, British Columbia 
 Photography nut 
 Purely social activities bored him
FAMILY LIFE 
 F. W. Harris loves 
outings with his family 
 F. W. Harris & his wife 
Eugenia enjoying sitting 
by a stream near a 
large grove of trees
FAMILY
ACHIEVEMENTS 
 President of Big Rock Ranch Co. 
 Vice President of Wulff Process Co. 
 Vice President of Patco, Inc 
 First President of the Los Angeles Patent 
Law Association
MEMBERSHIPS 
 Member of the American Bar Association 
 Member of American Patent Law Association 
 Member of American Institute of Electrical 
Engineers 
 Member of American Society of Mechanical 
Engineers 
 Member of American Chemical Society 
 Member of the California Club 
 Member of the Wilshire Country Club
BRIEF HISTORY 
Kashif Bashir
HISTORY 
 Born in 1877 and grew up in the Portland, 
Maine area 
 He received a high school education till 1895 
 He worked for four years as an engineering 
apprentice and draftsman for two Portland 
employers 
1. Belknap Motor Company 
2. Maine Electric Company
HISTORY 
 In 1900, he moved to Pittsburgh, 
Pennsylvania 
 He became a draftsman and engineer for 
Heyl and Patterson in Pittsburgh 
 From 1904—1912, Harris was employed as 
an engineer for the Westinghouse Electric 
and Manufacturing Company in East 
Pittsburgh
ELECTRICAL FIELD HISTORY 
 Tutoring and self-study had educated him 
in Electrical Engineering, and he had 
patented a number of inventions in the 
Electrical field 
 These patents had all been assigned to 
Westinghouse as his employer. Patents 
continued to be granted in his name and 
assigned to Westinghouse as late as 1916
HISTORY 
 At the age of 35, Harris thought to retool his 
career 
 He thought that his agreement with 
Westinghouse barred competitive 
employment, and blocked him from further 
inventions in Electrical field
PATENT ATTORNEY HISTORY 
 In 1912, Harris left Westinghouse and moved 
to Los Angeles, California 
 He may have wanted to expand his horizons 
beyond the confines of Westinghouse 
 The became a consulting engineer in Los 
Angeles, and there he entered the field of 
patent law
PATENT ATTORNEY HISTORY 
 He was admitted to practice before the U.S. 
Patent Office in 1914 and became a member 
of the California Bar in 1916 
 His admission to practice before the U.S. 
Supreme Court was in 1922 
 In Los Angeles, Harris was initially 
associated with the firm of Townsend, 
Graham and Harris and later with the firm of 
Graham and Harris before opening his own 
office in 1923
PATENT ATTORNEY HISTORY 
 He was one of the founders and, in 1934, the 
first president of the Los Angeles Patent Law 
Association 
 Up to the time of his death he was a member 
of the American Bar Association and the 
American Patent Law Association 
 He died in Los Angeles on October 27, 1962 
at the age of 85
MAJOR CONTRIBUTIONS 
Shah Rukh Zafar Suri
CONTRIBUTIONS 
 His life is full of achievements and 
contributions in his three fields: 
 Electrical Engineering 
 Management Scientist 
 Patent Attorney Holder
ELECTRICAL FIELD 
 He had patented a number of inventions in 
the Electrical field 
 Harris's activities as an inventor spanned 
more than 50 years 
 His first (joint) patent, issued in 1904 and 
assigned to Heyl and Patterson, was for a 
speed controller 
 His last patent, issued in 1958 when he was 
80 years old, was for components of a 
regenerative heat exchanger
ELECTRICAL FIELD 
 Up-till 1916, were for electrical devices— 
circuit breakers and switches, fuses, and 
controllers for electric motors—and were 
assigned to Westinghouse (Company) 
 Later patent ones were associated with 
petroleum extraction—devices for pumping 
oil, dehydrators and separators for oil 
emulsions, and apparatus for reaming wells
ELECTRICAL FIELD 
 Some scatter inventions or works were on: 
I. Disc harrow 
II. Automatic water heaters 
III. Side-loading hearse with a fixed turntable
ELECTRICAL FIELD 
 Harris contributed frequently to the 
discussions of technical papers in the 
Transactions of AIEE during the period 1910- 
1915 
 He also served on AIEE's Protective 
Apparatus Committee in 1915 and 1916
MANAGEMENT SCIENCES 
 The first paper on management sciences 
was the one on the EOQ formula 
 Published in Factory, The Magazine of 
Management in its February 1913 issue 
 Cited by more than 100 people in their 
research papers and over 10k readers in 
1913 
 A dozen more of his articles were published 
in Factory over the next five years.
PATENT ATTORNEY 
 Ford Harris authored or coauthored two 
books and more than a score of articles, 
comments, and reviews 
 His writings in this area began in 1914 with a 
series on practical patent issues that was 
published in Machinery, and continued 
through 1954, when he was 76 years old
MANAGEMENT SCIENCES 
Inzamam Ashraf
CONTRIBUTIONS TOWARDS MANAGEMENT 
 Ford Harris's writings on management topics 
must have begun soon after he left 
Westinghouse in 1912 
 His first full paper, "How Many Parts to Make at 
Once," in which he develops the EOQ model, 
appeared in Factory, The Magazine of 
Management in February 1913 
 Harris´s Economic Order Quantity (EOQ) model 
has been widely studied and is staple of 
virtually every management science or 
inventory management textbook 
 After this a rapid series of publications begins
CONTRIBUTIONS TOWARDS MANAGEMENT 
 The A. W. Shaw Company’s flagship 
publication was System, The Magazine of 
Business, which was renamed Business 
Week after it was acquired by McGraw-Hill in 
1928 
 Harris contributed an article on the “make or 
buy” problem to System in 1914
CONTRIBUTIONS TOWARDS MANAGEMENT 
 "How Much Stock to Keep on Hand" was 
also published in the following month in 
system, The magazine of Business 
 This takes more of a systems view of the 
inventory function, and shows considerable 
understanding of the need for coordination 
between marketing, engineering, and 
production
CONTRIBUTIONS TOWARDS MANAGEMENT 
 Ford Harris's original 1913 paper on the EOQ 
model was forgotten until its rediscovery in 1988 
 His chapter on the EOQ model in The Library of 
Factory Management was erroneously cited and 
apparently unread for many years 
 At various times, others have been credited with 
the development of the EOQ formula 
 It does not appear that Harris sought, 
received, or expected any recognition for 
this contribution during his lifetime. Even 
his own family was unaware that he had 
made such a contribution.
EOQ MODEL – INVENTORY & INVENTORY 
CONTROL 
Sajid Mehmood
INVENTORY 
 Inventories represent those items which are 
either stocked for sale or they are in the process 
of manufacturing or they are in the form of 
materials, which are yet to be utilized 
 It is necessary to hold inventories of various 
kinds to act as a buffer between supply and 
demand for efficient operation of the system 
 Thus, an effective control on inventory is a must 
for smooth and efficient running of the 
production cycle with least interruptions
BENEFITS OF KEEPING INVENTORIES 
 To stabilize production 
 To take advantage of price discounts 
 To meet the demand during the 
replenishment period 
 To prevent loss of orders (sales) 
 To keep pace with changing market 
conditions
INVENTORY CONTROL 
 Inventory control is a planned approach of 
determining what to order, when to order and 
how much to order and how much to stock 
so that costs associated with buying and 
storing are optimal without interrupting 
production and sales 
1. Order level - When should an order be 
placed? 
2. Order quantity - How much should be 
ordered?
OBJECTIVES OF INVENTORY CONTROL 
 adequate supply of products to customer 
 financial investment in inventories is 
minimum 
 Efficient purchasing, storing, consumption 
and accounting for materials 
 maintain the stock within the desired limits 
 To ensure timely action for replenishment 
 Scientific base for both short-term and long-term 
planning of materials
BENEFITS OF INVENTORY CONTROL 
 Improvement in customer’s relationship 
 Smooth and uninterrupted production and, 
hence, no stock out 
 Efficient utilization of working capital 
 Minimizing loss due to deterioration, 
obsolescence damage and pilferage 
 Economy in purchasing 
 Eliminates the possibility of duplicate 
ordering.
EOQ MODEL – ECONOMIC LOT SIZE FOR 
INVENTORY CONTROL 
Muhammad Imtiaz
EOQ MODEL 
 How much to order, two basic costs are considered namely: 
1. Inventory carrying costs 
2. Ordering or acquisition costs 
 As the quantity ordered is increased, the inventory carrying 
cost increases while the ordering cost decreases.
EOQ MODEL 
 The ‘order quantity’ means the quantity 
produced or procured during one production 
cycle. Economic Order Quantity (EOQ) is 
that size of order which minimizes total 
costs of carrying and cost of ordering. i.e., 
Minimum Total Cost occurs when 
Inventory Carrying Cost = Ordering 
Cost
EOQ - SOLUTION METHODS 
 Economic order quantity can be determined 
by two methods: 
 Tabulation method 
 Analytical method
TABULATION METHOD - STEPS 
 Select the number of possible lot sizes to 
purchase 
 Determine average inventory carrying cost for 
the lot purchased 
 Determine the total ordering cost for the orders 
placed 
 Determine the total cost for each lot size chosen 
which is the summation of inventory carrying 
cost and ordering cost 
 Select the ordering quantity, which minimizes 
the total cost
TABULATION METHOD - EXAMPLE
ANALYTICAL METHOD - ASSUMPTIONS 
 Demand is known and uniform 
 Shortages are not permitted, i.e., as soon as the level of the 
inventory reaches zero, the inventory is replenished 
 Production or supply of commodity is instantaneous. 
 Lead-time is zero
EOQ FORMULAE 
C1 = Inventory carrying cost 
C3 = Set-up cost per production run 
D = Total number of units produced 
Q = Lot size in each production run
PROS AND CONS 
 This theory gives systematic approach to find 
lowest possible cost for economic lot sizes. 
But its cons also exist: 
 Demand is not constant in real cases. Demand 
of Goods fluctuates in real cases 
 Lead time is also non zero in real cases. 
 Shortages are permitted in real cases. 
 Production and supply is not istantaneous in 
real cases.
F.W. Harris- EOQ MODEL

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F.W. Harris- EOQ MODEL

  • 1.
  • 2. F. W. HARRIS – EOQ MODEL Shah Rukh Zafar Suri (C) Inzamam Ashraf (L) Kashif Bashir Asad Mustafa Muhammad Imtiaz Sajid Mehmood
  • 3. INTRODUCTION (F. W. HARRIS) Asad Mustafa
  • 4. INTRODUCTION OF F. W. HARRIS  Born in Deering, Maine on August 8, 1877  Parents are Fred Ford and Harriet Whitney (Fox) Harris  His major contribution as a management scientist is admirable
  • 6. HOBBIES  Thoroughly enjoyed life in Los Angeles and the American West  Enthusiastic and lifelong golfer, although only an average player  Trout fishing and took many pack trips to inaccessible area, British Columbia  Photography nut  Purely social activities bored him
  • 7. FAMILY LIFE  F. W. Harris loves outings with his family  F. W. Harris & his wife Eugenia enjoying sitting by a stream near a large grove of trees
  • 9. ACHIEVEMENTS  President of Big Rock Ranch Co.  Vice President of Wulff Process Co.  Vice President of Patco, Inc  First President of the Los Angeles Patent Law Association
  • 10. MEMBERSHIPS  Member of the American Bar Association  Member of American Patent Law Association  Member of American Institute of Electrical Engineers  Member of American Society of Mechanical Engineers  Member of American Chemical Society  Member of the California Club  Member of the Wilshire Country Club
  • 12. HISTORY  Born in 1877 and grew up in the Portland, Maine area  He received a high school education till 1895  He worked for four years as an engineering apprentice and draftsman for two Portland employers 1. Belknap Motor Company 2. Maine Electric Company
  • 13. HISTORY  In 1900, he moved to Pittsburgh, Pennsylvania  He became a draftsman and engineer for Heyl and Patterson in Pittsburgh  From 1904—1912, Harris was employed as an engineer for the Westinghouse Electric and Manufacturing Company in East Pittsburgh
  • 14. ELECTRICAL FIELD HISTORY  Tutoring and self-study had educated him in Electrical Engineering, and he had patented a number of inventions in the Electrical field  These patents had all been assigned to Westinghouse as his employer. Patents continued to be granted in his name and assigned to Westinghouse as late as 1916
  • 15. HISTORY  At the age of 35, Harris thought to retool his career  He thought that his agreement with Westinghouse barred competitive employment, and blocked him from further inventions in Electrical field
  • 16. PATENT ATTORNEY HISTORY  In 1912, Harris left Westinghouse and moved to Los Angeles, California  He may have wanted to expand his horizons beyond the confines of Westinghouse  The became a consulting engineer in Los Angeles, and there he entered the field of patent law
  • 17. PATENT ATTORNEY HISTORY  He was admitted to practice before the U.S. Patent Office in 1914 and became a member of the California Bar in 1916  His admission to practice before the U.S. Supreme Court was in 1922  In Los Angeles, Harris was initially associated with the firm of Townsend, Graham and Harris and later with the firm of Graham and Harris before opening his own office in 1923
  • 18. PATENT ATTORNEY HISTORY  He was one of the founders and, in 1934, the first president of the Los Angeles Patent Law Association  Up to the time of his death he was a member of the American Bar Association and the American Patent Law Association  He died in Los Angeles on October 27, 1962 at the age of 85
  • 19. MAJOR CONTRIBUTIONS Shah Rukh Zafar Suri
  • 20. CONTRIBUTIONS  His life is full of achievements and contributions in his three fields:  Electrical Engineering  Management Scientist  Patent Attorney Holder
  • 21. ELECTRICAL FIELD  He had patented a number of inventions in the Electrical field  Harris's activities as an inventor spanned more than 50 years  His first (joint) patent, issued in 1904 and assigned to Heyl and Patterson, was for a speed controller  His last patent, issued in 1958 when he was 80 years old, was for components of a regenerative heat exchanger
  • 22. ELECTRICAL FIELD  Up-till 1916, were for electrical devices— circuit breakers and switches, fuses, and controllers for electric motors—and were assigned to Westinghouse (Company)  Later patent ones were associated with petroleum extraction—devices for pumping oil, dehydrators and separators for oil emulsions, and apparatus for reaming wells
  • 23. ELECTRICAL FIELD  Some scatter inventions or works were on: I. Disc harrow II. Automatic water heaters III. Side-loading hearse with a fixed turntable
  • 24. ELECTRICAL FIELD  Harris contributed frequently to the discussions of technical papers in the Transactions of AIEE during the period 1910- 1915  He also served on AIEE's Protective Apparatus Committee in 1915 and 1916
  • 25. MANAGEMENT SCIENCES  The first paper on management sciences was the one on the EOQ formula  Published in Factory, The Magazine of Management in its February 1913 issue  Cited by more than 100 people in their research papers and over 10k readers in 1913  A dozen more of his articles were published in Factory over the next five years.
  • 26. PATENT ATTORNEY  Ford Harris authored or coauthored two books and more than a score of articles, comments, and reviews  His writings in this area began in 1914 with a series on practical patent issues that was published in Machinery, and continued through 1954, when he was 76 years old
  • 28. CONTRIBUTIONS TOWARDS MANAGEMENT  Ford Harris's writings on management topics must have begun soon after he left Westinghouse in 1912  His first full paper, "How Many Parts to Make at Once," in which he develops the EOQ model, appeared in Factory, The Magazine of Management in February 1913  Harris´s Economic Order Quantity (EOQ) model has been widely studied and is staple of virtually every management science or inventory management textbook  After this a rapid series of publications begins
  • 29. CONTRIBUTIONS TOWARDS MANAGEMENT  The A. W. Shaw Company’s flagship publication was System, The Magazine of Business, which was renamed Business Week after it was acquired by McGraw-Hill in 1928  Harris contributed an article on the “make or buy” problem to System in 1914
  • 30. CONTRIBUTIONS TOWARDS MANAGEMENT  "How Much Stock to Keep on Hand" was also published in the following month in system, The magazine of Business  This takes more of a systems view of the inventory function, and shows considerable understanding of the need for coordination between marketing, engineering, and production
  • 31. CONTRIBUTIONS TOWARDS MANAGEMENT  Ford Harris's original 1913 paper on the EOQ model was forgotten until its rediscovery in 1988  His chapter on the EOQ model in The Library of Factory Management was erroneously cited and apparently unread for many years  At various times, others have been credited with the development of the EOQ formula  It does not appear that Harris sought, received, or expected any recognition for this contribution during his lifetime. Even his own family was unaware that he had made such a contribution.
  • 32. EOQ MODEL – INVENTORY & INVENTORY CONTROL Sajid Mehmood
  • 33. INVENTORY  Inventories represent those items which are either stocked for sale or they are in the process of manufacturing or they are in the form of materials, which are yet to be utilized  It is necessary to hold inventories of various kinds to act as a buffer between supply and demand for efficient operation of the system  Thus, an effective control on inventory is a must for smooth and efficient running of the production cycle with least interruptions
  • 34. BENEFITS OF KEEPING INVENTORIES  To stabilize production  To take advantage of price discounts  To meet the demand during the replenishment period  To prevent loss of orders (sales)  To keep pace with changing market conditions
  • 35. INVENTORY CONTROL  Inventory control is a planned approach of determining what to order, when to order and how much to order and how much to stock so that costs associated with buying and storing are optimal without interrupting production and sales 1. Order level - When should an order be placed? 2. Order quantity - How much should be ordered?
  • 36. OBJECTIVES OF INVENTORY CONTROL  adequate supply of products to customer  financial investment in inventories is minimum  Efficient purchasing, storing, consumption and accounting for materials  maintain the stock within the desired limits  To ensure timely action for replenishment  Scientific base for both short-term and long-term planning of materials
  • 37. BENEFITS OF INVENTORY CONTROL  Improvement in customer’s relationship  Smooth and uninterrupted production and, hence, no stock out  Efficient utilization of working capital  Minimizing loss due to deterioration, obsolescence damage and pilferage  Economy in purchasing  Eliminates the possibility of duplicate ordering.
  • 38. EOQ MODEL – ECONOMIC LOT SIZE FOR INVENTORY CONTROL Muhammad Imtiaz
  • 39. EOQ MODEL  How much to order, two basic costs are considered namely: 1. Inventory carrying costs 2. Ordering or acquisition costs  As the quantity ordered is increased, the inventory carrying cost increases while the ordering cost decreases.
  • 40. EOQ MODEL  The ‘order quantity’ means the quantity produced or procured during one production cycle. Economic Order Quantity (EOQ) is that size of order which minimizes total costs of carrying and cost of ordering. i.e., Minimum Total Cost occurs when Inventory Carrying Cost = Ordering Cost
  • 41. EOQ - SOLUTION METHODS  Economic order quantity can be determined by two methods:  Tabulation method  Analytical method
  • 42. TABULATION METHOD - STEPS  Select the number of possible lot sizes to purchase  Determine average inventory carrying cost for the lot purchased  Determine the total ordering cost for the orders placed  Determine the total cost for each lot size chosen which is the summation of inventory carrying cost and ordering cost  Select the ordering quantity, which minimizes the total cost
  • 44. ANALYTICAL METHOD - ASSUMPTIONS  Demand is known and uniform  Shortages are not permitted, i.e., as soon as the level of the inventory reaches zero, the inventory is replenished  Production or supply of commodity is instantaneous.  Lead-time is zero
  • 45. EOQ FORMULAE C1 = Inventory carrying cost C3 = Set-up cost per production run D = Total number of units produced Q = Lot size in each production run
  • 46. PROS AND CONS  This theory gives systematic approach to find lowest possible cost for economic lot sizes. But its cons also exist:  Demand is not constant in real cases. Demand of Goods fluctuates in real cases  Lead time is also non zero in real cases.  Shortages are permitted in real cases.  Production and supply is not istantaneous in real cases.