Optimal Strategies for Investment in Setup Cost Reductions in a Just-in-Time Environment

  • David F. Rogers
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 332)


Setup cost reductions in a Just-In-Time environment typically allow for reduced inventories, increased capacity, and greater flexibility because of the resulting reduced lot sizes. This study is a detailed analysis of investing in a one-time cost to reduce the setup cost (and time) in the classical (Wilson) economic order quantity lot-size model. A present value approach is employed and the number of periods required to recoup the initial investment is derived.


Cash Flow Concave Function Order Quantity Setup Cost Economic Order Quantity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Beranek, William, “Financial Implications of Lot-Size Inventory Models”, Management Science, Vol. 13, No. 8, pp. B401–B408, April, 1967.CrossRefGoogle Scholar
  2. Bierman, Harold Jr. and Smidt, Seymour, The Capital Budgeting Decision: Economic Analysis and Financing of Investment Projects, Seventh Edition, The Macmillan Company, New York, New York, 1988.Google Scholar
  3. Gerchak, Yigal, “Can a Reduction in Set Up Costs Indeed Increase Total Costs?”, Management Science, Vol. 34, No. 10, pp. 1271–1272, October, 1988.CrossRefGoogle Scholar
  4. Gurnani, Chandan, “Economic Analysis of Inventory Systems”, International Journal of Production Research, Vol. 21, No. 2, pp. 261–277, 1983.CrossRefGoogle Scholar
  5. Hadley, G. and Whitin, T.M., Analysis of Inventory Systems, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1963.Google Scholar
  6. Hadley, G, G., “A Comparison of Order Quantities Computed Using the Average Annual Cost and the Discounted Cost”, Management Science, Vol. 10, No. 3, pp. 472–476, April, 1964.CrossRefGoogle Scholar
  7. Haley, C.W. and Higgins, R.C, R.C., “Inventory Policy and Trade Credit Financing”, Management Science, Vol. 20, No. 4, Part I, pp. 464–471, December, 1973.CrossRefGoogle Scholar
  8. Hall, Robert W., Zero Inventories, Dow-Jones Irwin, Homewood, Illinois, 1983.Google Scholar
  9. Hill, Ned C. and Sartoris, William L., Short-Term Financial Management, Macmillan Publishing Company, New York, New York, 1988.Google Scholar
  10. Keller, Gerald and Noori, Hamid, “Justifying New Technology Acquisition Through its Impact on the Cost of Running an Inventory Policy”, IIE Transactions, Vol. 20, No. 3, pp. 284–291, September, 1988.CrossRefGoogle Scholar
  11. Kim, Yong H. and Chung, Kee H., “Economic Analysis of Inventory Systems: A Clarifying Analysis”, International Journal of Production Research, Vol. 23, No. 4, pp. 761–767, 1985.CrossRefGoogle Scholar
  12. Kim, Yong H., Philippatos, George C., and Chung, Kee H, Kee H., “Evaluating Investment in Inventory Policy: A Net Present Value Framework”, The Engineering Economist, Vol. 31, No. 2, pp. 119–136, Winter, 1986.CrossRefGoogle Scholar
  13. Porteus, Evan L, Evan L., “Investing in Reduced Setups in the EOQ Model”, Management Science, Vol. 31, No. 8, pp. 998–1010, August, 1985.CrossRefGoogle Scholar
  14. Porteus, Evan L, Evan L., “Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction”, Operations Research, Vol. 34, No. 1, pp. 137–144, January-February, 1986a.CrossRefGoogle Scholar
  15. Porteus, Evan L., “Investing in New Parameter Values in the Discounted EOQ Model”, Naval Research Logistics Quarterly, Vol. 33, pp. 39–48, 1986b.CrossRefGoogle Scholar
  16. Porteus, Evan L., “Optimal Inspection, Lot Sizing and Setup Reduction”, Research Paper No. 912, Graduate School of Business, Stanford University, Palo Alto, California, July, 1988.Google Scholar
  17. Raia, Ernest, “Just-in-Time USA”, Purchasing, pp. 48–62, February 13, 1986.Google Scholar
  18. Raturi, Amitabh S. and Singhal, Vinod R., “The Effect of Risk on Cycle and Safety Stocks”, Working Paper OM-1988–002, Department of Quantitative Analysis and Information Systems, College of Business Administration, University of Cincinnati, Cincinnati, Ohio, July, 1988.Google Scholar
  19. Rummel, Jeffrey L., “Cash Flow Analysis for Inventory Decisions”, Working Paper Series No. QM85, Graduate School of Management, University of Rochester, Rochester, New York, June, 1985.Google Scholar
  20. Schroeder, Roger G. and Krishnan, Ramakrishnan, “Return on Investment as a Criterion for Inventory Models”, Decision Sciences, Vol. 7, No. 4, pp. 697–704, October, 1976.CrossRefGoogle Scholar
  21. Schonberger, Richard J., Japanese Manufacturing Techniques, Free Press, New York, New York, 1982.Google Scholar
  22. Spence, Anne M. and Porteus, Evan L, Evan L., “Setup Reduction and Increased Effective Capacity”, Management Science, Vol. 33, No. 10, pp. 1291–1301, October, 1987.CrossRefGoogle Scholar
  23. Thompson, Howard E, Howard E., “Inventory Management and Capital Budgeting: A Pedagogical Note”, Decision Sciences, Vol. 6, No. 2, pp. 383–398, April, 1975.CrossRefGoogle Scholar
  24. Thorstenson, Anders, Capital Costs in Inventory Models-A Discounted Cash Flow Approach, PROFIL Series No. 8, Production-Economic Research in Linkoping, Linkoping Institute of Technology, Linkoping, Sweden, 1988.Google Scholar
  25. Toyota Motor Manufacturing, U.S.A., Inc., “Fact Sheet: Toyota Motor Corporation History”, Georgetown, Kentucky, 1988.Google Scholar
  26. Trippi, Robert R. and Lewin, Donald E, Donald E., “A Present Value Formulation of the Classical EOQ Problem”, Decision Sciences, Vol. 5, No. 1, pp. 30–35, January, 1974.CrossRefGoogle Scholar
  27. Zangwill, Willard I, Willard I., “Eliminating Inventory in a Series Facility Production System”, Management Science, Vol. 33, No. 9, pp. 1150–1164, September, 1987a.CrossRefGoogle Scholar
  28. Zangwill, Willard I, Willard I., “From EOQ Towards ZI”, Management Science, Vol. 33, No. 10, pp. 1209–1223, October, 1987b.CrossRefGoogle Scholar
  29. Zangwill, Willard I., Willard I„ “Rejoinder to the Note by Yigal Gerchak”, Management Science, Vol. 34, No. 10, pp. 1272–1273, October, 1988.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1989

Authors and Affiliations

  • David F. Rogers
    • 1
  1. 1.Department of Quantitative Analysis and Information Systems College of Business AdministrationUniversity of CincinnatiCincinnatiUSA

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