Advertisement

Coordinated Pricing and Production/Procurement Decisions: A Review

Chapter
Part of the International Series in Quantitative Marketing book series (ISQM, volume 16)

Abstract

It has been nearly 50 years since researchers began to develop analytical models to aid in simultaneous decisions regarding pricing strategy, which influences demands, and production/procurement decisions, which determine the cost of satisfying those demands. In this chapter, we provide a comprehensive review of analytical models on this topic, focusing on models in which external demand is price-sensitive. We review models in both continuous and discrete-time frameworks, considering both constant and time-varying demand functions, with and without demand uncertainty. Although our emphasis is on decision problems facing a single firm, we also provide a brief overview of models involving multiple firms or multiple decision-makers. We also offer suggestions for future research.

Keywords

Order Quantity Setup Cost Trade Credit Optimal Price Demand Uncertainty 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abad, P.L. (1988a). Determining Optimal Selling Price and Lot Size when the Supplier Offers All-Unit Quantity Discounts, Decision Sciences 19(3), 622–634.Google Scholar
  2. Abad, P.L. (1988b). Joint Price and Lot-Size Determination when Supplier Offers Incremental Quantity Discounts, Journal of the Operational Research Society 39(6), 603–607.Google Scholar
  3. Abad, P.L. (1994). Supplier Pricing and Lot Sizing when Demand is Price Sensitive, European Journal of Operational Research 78(3), 334–354.CrossRefzbMATHGoogle Scholar
  4. Abad, P.L. (1996). Optimal Pricing and Lot-Sizing under Conditions of Perishability and Partial Backordering, Management Science 42(8), 1093–104.zbMATHGoogle Scholar
  5. Abad, P. L. (1997). Optimal Policy for a Reseller when the Supplier Offers a Temporary Reduction in Price, Decision Sciences 28(3), 637–653.MathSciNetGoogle Scholar
  6. Abad, P.L. (2001). Optimal Price and Order Size for a Reseller under Partial Backordering, Computers and Operations Research 28(1), 53–65.zbMATHGoogle Scholar
  7. Aggarwal, S.P. and C.K. Jaggi (1989). Ordering Policy for Decaying Inventory, International Journal of Systems Science 20(1), 151–155.MathSciNetGoogle Scholar
  8. Agrawal, V. and S. Seshadri (2000). Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem, Manufacturing and Service Operations Management 2(4), 410–423.Google Scholar
  9. Alpern, S. and D.J. Snower (1989). A Search Model of Optimal Pricing and Production, Engineering Costs and Production Economics 15, 279–284.CrossRefGoogle Scholar
  10. Arcelus, F.J. and G. Srinivasan (1985). A ROI-Maximizing EOQ Model under Variable Demand and Markup Rates, Engineering Costs and Production Economics 9(1–3), 113–117.Google Scholar
  11. Arcelus, F.J. and G. Strinivasan (1987). Inventory Policies under Various Optimizing Criteria and Variable Markup Rates, Management Science 33(6), 756–762.Google Scholar
  12. Ardalan, A. (1994). Optimal Prices and Order Quantities when Temporary Price Discounts Result in Increase in Demand, European Journal of Operational Research 72(1), 52–61.CrossRefzbMATHGoogle Scholar
  13. Ardalan, A. (1995). A Comparative Analysis of Approaches for Determining Optimal Price and Order Quantity when a Sale Increases Demand, European Journal of Operational Research 84(2), 416–430.CrossRefzbMATHMathSciNetGoogle Scholar
  14. Atkins, D. and X. Zhao (2002). Supply Chain Structure under Price and Service Competition. Working Paper, Faculty of Commerce and Business Administration, University of British Columbia, Vancouver, British Columbia, Canada.Google Scholar
  15. Aydin, G. and E.L. Porteus (2003). Inventory and Pricing for Multiple Products with Demand Cannibalization. Working paper, Graduate School of Business, Stanford University, Stanford, CA.Google Scholar
  16. Barbarosoglu, G. (2000). An Integrated Supplier-Buyer Model for Improving Supply Chain Coordination. Production Planning and Control 11(8), 732–741.Google Scholar
  17. Bhattacharjee, S. and R. Ramesh (2000). A Multi-Period Profit Maximizing Model for Retail Supply Chain Management: An Integration of Demand and Supply-Side Mechanisms, European Journal of Operational Research 122, 584–601.CrossRefMathSciNetGoogle Scholar
  18. Birge, J., J. Drogosz, I. Duenyas (1998). Setting Single-Period Optimal Capacity Levels and Prices for Substitutable Products, International Journal of Flexible Manufacturing Systems 10, 407–430.CrossRefGoogle Scholar
  19. Brahmbhatt, A.C and M.C. Jaiswal (1980). An Order-Level-Lot-Size Model with Uniform Replenishing Rate and Variable Mark-up of Prices, International Journal of Production Research 18(5), 655–664.Google Scholar
  20. Burnetas, A. and C. Smith (2000). Adaptive Ordering and Pricing for Perishable Products, Operations Research 48(3), 436–443.CrossRefGoogle Scholar
  21. Burwell, T.H., D.S. Dave, K.E. Fitzpatrick and M.R. Roy (1990). A Note on Determining Optimal Selling Price and Lot Size under All-Unit Quantity Discounts, Decision Sciences 21(2), 471–474.Google Scholar
  22. Burwell, T.H., D.S. Dave, K.E. Fitzpatrick and M.R. Roy (1991). An Inventory Model with Planned Shortages and Price Dependent Demand, Decision Sciences 22(5), 1187–1191.Google Scholar
  23. Burwell, T.H., D.S. Dave, K.E. Fitzpatrick and M.R. Roy (1997). Economic Lot Size Model for Price-Dependent Demand under Quantity and Freight Discounts, International Journal of Production Economics 48(2), 141–155.1CrossRefGoogle Scholar
  24. Cachon, G. (2001). Supply Chain Coordination with Contracts, Working Paper, Wharton School, University of Pennsylvania, Philadelphia, PA.Google Scholar
  25. Cachon, G. and A.G. Kok (2002). Heuristic Equilibrium in the Newvendor Model with Clearance Pricing, Working Paper, The Wharton School, University of Pennsylvania, Philadelphia, PA.Google Scholar
  26. Chakravarty, A.K. and G. E. Martin (1991). Operational Economies of a Process Positioning Determinant. Computers and Operations Research 18(6), 515–530.CrossRefGoogle Scholar
  27. Chan, L.M.A., D. Simchi-Levi and J. Swann (2000). Flexible Pricing Strategies to Improve Supply Chain Performance, Working Paper, Department of Industrial Engineering and Management Science, Northwestern University, Evanston, IL.Google Scholar
  28. Chan, L.M.A., D. Simchi-Levi and J. Swann (2001). Dynamic Pricing Strategies for Manufacturing with Stochastic Demand and Discretionary Sales, Working Paper, School of Systems and Industrial Engineering, Georgia Institute of Technology, Atlanta, GA.Google Scholar
  29. Chen, Y., H. Yan and L. Yao (2002). Newsvendor Pricing Game, Working Paper, Department of Systems Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong.Google Scholar
  30. Chen, C.-K. and K.J. Min (1994a). An Analysis of Optimal Inventory and Pricing Policies under Linear Demand, Asia Pacific Journal of Operational Research 11(2), 117–129.Google Scholar
  31. Chen, C.-K. and K.J. Min (1994b). A Multi-Product EOQ Model with Pricing Consideration—T.C.E. Cheng’s Model Revisited, Computers and Industrial Engineering 26(4), 787–794.CrossRefADSGoogle Scholar
  32. Chen, F., A. Federgruen and Y. Zheng (2001). Near-Optimal Pricing and Replenishment Strategies for a Retail/Distribution System, Operations Research 49(6), 839–853.CrossRefGoogle Scholar
  33. Chen, M.-S. and M.-C. Chu (2001). The Analysis of Optimal Price Control Model in Matching Problem between Production and Sales, Asia Pacific Journal of Operational Research 18(2), 131–148.MathSciNetGoogle Scholar
  34. Chen, X. and D. Simchi-Levi (2002). Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Finite Horizon Case, Working paper, Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
  35. Cheng, T.C.E. (1990). An EOQ Model with Pricing Consideration, Computers and Industrial Engineering 18(4), 529–534.Google Scholar
  36. Cheng, T.C.E. (1984). An Integrated Product Pricing and Batch Sizing Model with Stochastic Demand, Engineering Costs and Production Economics 8, 27–31.CrossRefGoogle Scholar
  37. Chod, J. and N. Rudi (2002). Resource Flexibility with Responsive Pricing, Working Paper, Simon Graduate School of Business, University of Rochester, Rochester, NY.Google Scholar
  38. Chun, Y.H. (2003). Optimal Pricing and Ordering Policies for Perishable Commodities. European Journal of Operational Research 144(1), 68–82.zbMATHMathSciNetGoogle Scholar
  39. Cohen, M.A. (1977). Joint Pricing and Ordering Policy for Exponentially Decaying Inventory with Known Demand, Naval Research Logistics Quarterly 24(2), 257–268.zbMATHMathSciNetGoogle Scholar
  40. Dana, J. and N. Petruzzi (2001). Note: The Newsvendor Model with Endogenous Demand, Management Science 47(11), 1488–1497.CrossRefGoogle Scholar
  41. Deng, S. and C.A. Yano (2000). Joint Production and Pricing Decisions with Setup Costs and Capacity Constraints, Working Paper, Department of Industrial Engineering and Operations Research, University of California at Berkeley.Google Scholar
  42. Desai, V.S. (1996). Interactions between Members of a Marketing-Production Channel under Seasonal Demand, European Journal of Operational Research 90(1), 115–141.CrossRefzbMATHMathSciNetGoogle Scholar
  43. Dobson, G. and C.A. Yano (2002). Product Offering, Pricing and Make-To-Stock/Make-To-Order Decisions with Shared Capacity, Production and Operations Management 11(4), 293–312.Google Scholar
  44. Dolan, R.J. (1987). Quantity Discounts: Managerial Issues and Research Opportunities, Marketing Science 6, 1–22.Google Scholar
  45. Eilon, S. and R.V. Mallya (1966). Issuing and Pricing Policies for Semi-perishables, in Proceedings of the Fourth International Conference on Operational Research (Actes de la Quatrième Conference Internationale de Recherche Operationnelle), D.B. Hertz and J. Melese (eds.). New York: Wiley-Interscience.Google Scholar
  46. Eliashberg, J. and R. Steinberg (1987). Marketing-Production Decisions in an Industrial Channel of Distribution, Management Science 33(8), 981–1000.Google Scholar
  47. Eliashberg, J. and R. Steinberg (1991). Competitive Strategies for Two Firms with Asymmetric Production Cost Structures, Management Science 37(11), 1452–1473.Google Scholar
  48. Eliashberg, J. and R. Steinberg (1993). Marketing-Production Joint Decisions, Chapter 18 in Handbooks in Operations Research and Management Science: Marketing, North-Holland, 827–880.Google Scholar
  49. Ertek, G. and P.M. Griffin (2002). Supplier and Buyer Driven Channels in a Two-Stage Supply Chain, IIE Transactions 34(8), 691–700.CrossRefGoogle Scholar
  50. Federgruen, A. and A. Heching (1999). Combined Pricing and Inventory Control under Uncertainty, Operations Research 47(3), 454–475.MathSciNetGoogle Scholar
  51. Federgruen, A. and A. Heching (2002). Multilocation Combined Pricing and Inventory Control. Manufacturing and Service Operations Management 4(4), 275–296.Google Scholar
  52. Feichtinger, G. and R. Hartl (1985). Optimal Pricing and Production in an Inventory Model, European Journal of Operational Research 19(1), 45–56.CrossRefMathSciNetGoogle Scholar
  53. Feng, Y. and F.Y. Chen (2002). Joint Pricing and Inventory Control with Setup Costs and Demand Uncertainty, Working Paper, Department of Systems Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong.Google Scholar
  54. Freeland, J.R. (1980). Coordination Strategies for Production and Marketing in a Functionally Decentralized Firm, AIIE Transactions 12(2), 126–132.MathSciNetGoogle Scholar
  55. Gaimon, C. (1988). Simultaneous and Dynamic Price, Production, Inventory and Capacity Decisions, European Journal of Operational Research 35(3), 426–441.CrossRefMathSciNetGoogle Scholar
  56. Gelders, L.F. and F.H. deRoose (1981). Determining Price Levels and Product Mix in a Rolling Mill: A Case Study, AIIE Transactions 13(4), 315–324.Google Scholar
  57. Gilbert, S.M. (1999). Coordination of Pricing and Multi-Period Production for Constant Priced Goods, European Journal of Operational Research 114, 330–337.CrossRefzbMATHGoogle Scholar
  58. Gilbert, S.M. (2000). Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods, Management Science 47(12), 1602–1616.Google Scholar
  59. Goyal, S.K. and A. Gunasekaran (1995). An Integrated Production-Inventory-Marketing Model for Deteriorating Items, Computers and Industrial Engineering 28(4), 755–762.CrossRefGoogle Scholar
  60. Hwang, H. and S.W. Shinn (1997). Retailer’s Pricing and Lot Sizing Policy for Exponentially Deteriorating Products under the Condition of Permissible Delay in Payments, Computers and Operations Research 24(6), 539–547.CrossRefGoogle Scholar
  61. Jorgensen, S. (1986). Optimal Production, Purchasing and Pricing: A Differential Game Approach, European Journal of Operational Research 24(1), 64–76.MathSciNetGoogle Scholar
  62. Jorgensen, S., P.M. Kort, G. Zaccour (1999). Production, Inventory, and Pricing under Cost and Demand Learning Effects, European Journal of Operational Research 117(2), 382–395.Google Scholar
  63. Jorgensen, S. and P.M. Kort (2002). Optimal Pricing and Inventory Policies: Centralized and Decentralized Decision Making, European Journal of Operational Research 138(3), 578–600.MathSciNetGoogle Scholar
  64. Kang, S. and I.-T. Kim. (1983). A Study on the Price and Production Level of the Deteriorating Inventory System, International Journal of Production Research 21(6), 899–908.Google Scholar
  65. Karlin, S. and C.R. Carr. (1962). Prices and Optimal Inventory Policy, Chapter 10 in Studies in Applied Probability and Management Science, K. Arrow, S. Karlin and H. Scarf (eds.), Stanford University Press, Stanford, CA.Google Scholar
  66. Karmarkar, U. S. (1996). Integrative Research in Marketing and Operations Management, Journal of Marketing Research 33(2), 125–133.Google Scholar
  67. Khouja, M.J. (2000). Optimal Ordering, Discounting, and Pricing in the Single-Period Problem, International Journal of Production Economics 65, 201–216.CrossRefGoogle Scholar
  68. Kim D.-S. and W.J. Lee. (1998a). Optimal Coordination Strategies for Production and Marketing Decisions, Operations Research Letters 22(1), 41–47.CrossRefGoogle Scholar
  69. Kim, D.-S. and W.J. Lee. (1998b). Optimal Joint Pricing and Lot Sizing with Fixed and Variable Capacity, European Journal of Operational Research 109(1), 212–227.CrossRefGoogle Scholar
  70. Kim, J., H. Hwang and S. Shinn. (1995). An Optimal Credit Policy to Increase Supplier’s Profits with Price-Dependent Demand Functions, Production Planning and Control 6(1), 45–50.Google Scholar
  71. Kumar, R.K., A.P.S. Loomba and G.C. Hadjinicola. (2000). Marketing-Production Coordination in Channels of Distribution, European Journal of Operational Research 126(1), 189–217.MathSciNetGoogle Scholar
  72. Kunreuther, H. and J.F. Richard. (1971). Optimal Pricing and Inventory Decisions for Non-Seasonal Items, Econometrica 39(1), 173–175.Google Scholar
  73. Kunreuther, H. and L. Schrage. (1973). Joint Pricing and Inventory Decisions for Constant Priced Items, Management Science 19(7), 732–738.Google Scholar
  74. Ladany, S. and A. Sternlieb. (1974). The Interaction of Economic Ordering Quantities and Marketing Policies, AIIE Transactions 6(1), 35–40.Google Scholar
  75. Lariviere, M. (1999). Supply Chain Contracting and Coordination with Stochastic Demand, in Quantitative Models of Supply Chain Management, S. Tayur, M. Magazine, and R. Ganeshan (eds.), Kluwer Academic Publishers, Norwell, MA.Google Scholar
  76. Lau, H.L. and H. Lau (1988). The Newsboy Problem with Price Dependent Demand Distribution, IIE Transactions 20(2), 168–175.Google Scholar
  77. Lederer, P.J. and L. Li (1997). Pricing, Production, Scheduling, and Delivery-Time Competition, Operations Research 45(3), 407–420.MathSciNetGoogle Scholar
  78. Lee, H.L. and M.J. Rosenblatt (1986). The Effects of Varying Marketing Policies and Conditions on the Economic Ordering Quantity, International Journal of Production Research 24(3), 593–598.Google Scholar
  79. Lee, W.J. (1993). Determining Order Quantity and Selling Price by Geometric Programming: Optimal Solution, Bounds, and Sensitivity, Decision Sciences 24(1), 76–87.Google Scholar
  80. Lee, W.J. (1994). Optimal Order Quantities and Prices with Storage Space and Inventory Investment Limitations, Computers and Industrial Engineering 26(3), 481–488.CrossRefGoogle Scholar
  81. Lee, W.J. and D.-S. Kim (1993). Optimal and Heuristic Decision Strategies for Integrated Production and Marketing Planning, Decision Sciences 24(6), 1203–1213.Google Scholar
  82. Leland, H.E. (1972). Theory of the Firm Facing Uncertain Demand, American Economic Review 62, 278–291.Google Scholar
  83. Li, L. (1988). A Stochastic Theory of the Firm, Mathematics of Operations Research 13, 447–466.zbMATHMathSciNetGoogle Scholar
  84. Lippman, S.A. and W.L. Winston (1981). Optimal Control of Price through Restricted Production. Naval Research Logistics Quarterly 28(3), 463–74.MathSciNetGoogle Scholar
  85. Lodish, L. (1980). Applied Dynamic Pricing and Production Models with Specific Application to Broadcast Spot Pricing, Journal of Marketing Research 17, 203–211.Google Scholar
  86. Lovell, M. (2003). Optimal Lot Size, Inventory, Prices and JIT under Monopolistic Competition. International Journal of Production Research 81–82 (Issue C).Google Scholar
  87. McTavish, R. and S.K. Goyal (1989). Integrating Marketing and Production Decisions, Engineering Costs and Production Economics 15, 387–90.CrossRefGoogle Scholar
  88. Mills, E.S. (1959). Uncertainty and Price Theory, Quarterly Journal of Economics 73, 117–130.Google Scholar
  89. Mills, E.S. (1962). Price, Output, and Inventory Policy, A Study in the Economics of the Firm and Industry, New York, Wiley.Google Scholar
  90. Moinzadeh, K. and C. Ingene (1993). An Inventory Model of Immediate and Delayed Delivery, Management Science 39(5), 536–548.Google Scholar
  91. Morgan, L.O., R.L. Daniels and P. Kouvelis (2001). Marketing/Manufacturing Trade-Offs in Product Line Management, IIE Transactions 33(11), 949–962.CrossRefGoogle Scholar
  92. Netessine, S. (2002). Dynamic Pricing of Inventory/Capacity when Price Changes are Costly, Working Paper, The Wharton School, University of Pennsylvania, Philadelphia, PA.Google Scholar
  93. Nevins, A.J. (1966). Some Effects of Uncertainty: Simulation of a Model of Price. Quarterly Journal of Economics 80, 73–87.Google Scholar
  94. Parlar, M. and Q. Wang (1994). Discounting Decisions in a Supplier-Buyer Relationship with a Linear Buyer’s Demand, IIE Transactions 26(2), 34–41.Google Scholar
  95. Pekelman, D. (1974). Simultaneous Price-Production Decisions, Operations Research 22(4), 788–794.zbMATHMathSciNetGoogle Scholar
  96. Petruzzi, N. and M. Dada (1999). Pricing and the Newsvendor Problem: A Review with Extensions, Operations Research 47(2), 183–194.Google Scholar
  97. Petruzzi, N. and M. Dada (2001). Information and Inventory Recourse for a Two-market, Price Setting Retailer, Manufacturing and Service Operations Management 3(3), 242–263.Google Scholar
  98. Polatoglu, L.H. (1991). Optimal Order Quantity and Pricing Decisions in Single-Period Inventory Systems, International Journal of Production Economics 23, 175–185.CrossRefGoogle Scholar
  99. Polatoglu, H. and I. Sahin (2000). Optimal Procurement Policies under Price-Dependent Demand, International Journal of Production Economics 65(2), 141–171.CrossRefGoogle Scholar
  100. Porteus, E.L. (1985). Investing in Reduced Setups in the EOQ Model, Management Science 31(8), 998–1010.zbMATHGoogle Scholar
  101. Rajan, A., Rakesh and R. Steinberg (1992). Dynamic Pricing and Ordering Decisions by a Monopolist, Management Science 38(2), 240–262.Google Scholar
  102. Raz, G. and E. Porteus (2002). A Discrete Service Levels Perspective to the Newsvendor Model with Simultaneous Pricing, Working Paper, Graduate School of Business, Stanford University, Stanford, CA.Google Scholar
  103. Reyniers, D.J. (2001). The Effect of Vertical Integration on Consumer Prices in the Presence of Inventory Costs. European Journal of Operational Research 130(1), 83–89.CrossRefzbMATHMathSciNetGoogle Scholar
  104. Rosenberg, D. (1991). Optimal Price-Inventory Decisions-Profit vs. ROII, IIE Transactions 23(1), 17–22.Google Scholar
  105. Shinn, S.W., H. Hwang, S.S. Park (1996). Joint Price and Lot Size Determination under Conditions of Permissible Delay in Payments and Quantity Discounts for Freight Cost, European Journal of Operational Research 91(3), 528–542.Google Scholar
  106. Shinn, S.W. (1997). Determining Optimal Retail Price and Lot Size under Day-Terms Supplier Credit, Computers and Industrial Engineering 33(3–4), 717–720.Google Scholar
  107. Subramanyam, E.S. and S. Kumaraswamy (1981). EOQ Formula under Varying Marketing Policies and Conditions, AIIE Transactions 13(4), 312–314.Google Scholar
  108. Subrahmanyan, S. and R. Shoemaker (1996). Developing Optimal Pricing and Inventory Policies for Retailers Who Face Uncertain Demand, Journal of Retailing 72(1), 7–30.CrossRefGoogle Scholar
  109. Thomas, J. (1970). Price-Production Decisions with Deterministic Demand, Management Science 16(11), 747–749.zbMATHGoogle Scholar
  110. Thomas, L.J. (1974). Price and Production Decisions with Random Demand, Operations Research 22(3), 513–518.ADSzbMATHGoogle Scholar
  111. Thompson, G.L., S.P. Sethi and J. Teng (1984). Strong Planning and Forecast Horizons for a Model with Simultaneous Price and Production Decisions, European Journal of Operational Research 16, 378–388.CrossRefMathSciNetGoogle Scholar
  112. Thowsen, G.T. (1975). A Dynamic, Non-Stationary Inventory Problem for a Price/Quantity Setting Firm, Naval Research Logistics Quarterly 22(3), 461–476.zbMATHMathSciNetGoogle Scholar
  113. Tsay, A.A., S. Nahmias and N. Agrawal (1999). Modeling Supply Chain Contracts: A Review, Chapter 10 in Quantitative Models for Supply Chain Management, S. Tayur, R. Ganeshan, and M. Magazine (eds.), Kluwer Academic Publishers, Norwell, MA.Google Scholar
  114. Tsay, A.A. and N. Agrawal (2000). Channel Dynamics under Price and Service Competition. Manufacturing and Service Operations Management 2(4), 372–391.Google Scholar
  115. Urban, T.L. (1992). Deterministic Inventory Models Incorporating Marketing Decisions, Computers and Industrial Engineering 22(1), 85–93.CrossRefGoogle Scholar
  116. Urban, T.L. and R. C. Baker (1997). Optimal Ordering and Pricing Policies in a Single-Period Environment with Multivariate Demand and Markdowns, European Journal of Operational Research 103, 573–583.CrossRefGoogle Scholar
  117. Van Mieghem, J.A. and M. Dada (1999). Price Versus Production Postponement: Capacity and Competition, Management Science 45(12), 1631–1649.Google Scholar
  118. Wagner, H.M. (1960). A Postscript to Dynamic Problems in the Theory of the Firm, Naval Research Logistics Quarterly 7(1), 7–12.Google Scholar
  119. Wagner, H.M. and T.M. Whitin (1958a). Dynamic Problems in the Theory of the Firm, Naval Research Logistics Quarterly 5(1), 53–74.MathSciNetGoogle Scholar
  120. Wagner, H.M. and T.M. Whitin (1958b). Dynamic Version of the Economic— Lot-Size Formula, Management Science 5(1), 89–96.MathSciNetGoogle Scholar
  121. Wee, H.-M. (1995). Joint Pricing and Replenishment Policy for Deteriorating Inventory with Declining Market, International Journal of Production Economics 40(2–3), 163–171.MathSciNetGoogle Scholar
  122. Wee, H.-M. (1999). Deteriorating Inventory Model with Quantity Discount, Pricing and Partial Backordering, International Journal of Production Economics 59(1–3), 511–518.Google Scholar
  123. Wee, H.-M. and S.-T. Law (2001). Replenishment and Pricing Policy for Deteriorating Items Taking into Account the Time-Value of Money, International Journal of Production Economics 71(1–3), 213–220.Google Scholar
  124. Weng, Z.K. (1995a). Channel Coordination and Quantity Discounts, Management Science 41(9), 1509–1522.zbMATHMathSciNetGoogle Scholar
  125. Weng, Z.K. (1995b). Modeling Quantity Discounts under General Price-Sensitive Demand Functions: Optimal Policies and Relationships, European Journal of Operational Research 86(2), 300–314.zbMATHGoogle Scholar
  126. Weng Z.K. (1997). Pricing and Ordering Strategies in Manufacturing and Distribution Alliances, IIE Transactions 29(8), 681–692.CrossRefGoogle Scholar
  127. Weng, Z.K. and R.T. Wong (1993). General Models for the Supplier’s All-Unit Quantity Discount Policy, Naval Research Logistics Quarterly 40(7), 971–991.Google Scholar
  128. Whitin, T.M. (1955). Inventory Control and Price Theory, Management Science 2, 61–68.MathSciNetGoogle Scholar
  129. Young, L. (1978). Price, Inventory and the Structure of Uncertain Demand. New Zealand Operations Research 6(2), 157–177.Google Scholar
  130. Young, L. (1979). Uncertainty, Market Structure and Resource Allocation. Oxford Economic Papers 31, 47–59.Google Scholar
  131. Zabel, E. (1970). Monopoly and Uncertainty, Review of Economic Studies 37, 205–219.zbMATHGoogle Scholar
  132. Zabel, E. (1972). Multi-Period Monopoly under Uncertainty, Journal of Economic Theory 5, 524–536.CrossRefMathSciNetGoogle Scholar
  133. Zhao, W. and Y. Wang (2002). Coordination of Joint Pricing-Production Decisions in a Supply Chain, IIE Transactions 34(8), 701–715.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

There are no affiliations available

Personalised recommendations