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Aggregate production planning for process industries under oligopolistic competition

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  • Karmarkar, Uday S.
  • Rajaram, Kumar

Abstract

We consider a competitive version of the traditional aggregate production planning model with capacity constraints. In the general case, multiple products are produced by a few competing producers (oligopoly) with limited capacities. Production quantities, prices and consequently profits depend on production and allocation decisions of each producer. In addition, there is competition for the raw material whose supplies are limited, and where prices reflect these limitations. Such situations have recently occurred in several process industry settings including petro-refining, petrochemicals, basic chemicals, cement, fertilizers, pharmaceuticals, rubber, paper, food processing and metals. We use a successive “Bertrand–Cournot” framework to address this problem and to determine optimal production quantities, prices and profits at the producers and at the raw material supplier. Our analysis allows a new way to understand and evaluate the marginal value of additional capacity when there is competition for the market and raw materials.

Suggested Citation

  • Karmarkar, Uday S. & Rajaram, Kumar, 2012. "Aggregate production planning for process industries under oligopolistic competition," European Journal of Operational Research, Elsevier, vol. 223(3), pages 680-689.
    • Handle: RePEc:eee:ejores:v:223:y:2012:i:3:p:680-689
    DOI: 10.1016/j.ejor.2012.07.007
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    References listed on IDEAS

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    1. Karmarkar, Uday & Pitbladdo, Richard, 1994. "Product-line selection, production decisions and allocation of common fixed costs," International Journal of Production Economics, Elsevier, vol. 34(1), pages 17-33, February.
    2. Fernando Bernstein & Awi Federgruen, 2005. "Decentralized Supply Chains with Competing Retailers Under Demand Uncertainty," Management Science, INFORMS, vol. 51(1), pages 18-29, January.
    3. Haskel, Jonathan & Martin, Christopher, 1994. "Capacity and Competition: Empirical Evidence on UK Panel Data," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 23-44, March.
    4. Uday Karmarkar & Richard Pitbladdo, 1993. "Internal Pricing and Cost Allocation in a Model of Multiproduct Competition with Finite Capacity Increments," Management Science, INFORMS, vol. 39(9), pages 1039-1053, September.
    5. Scott M. Carr & Uday S. Karmarkar, 2005. "Competition in Multiechelon Assembly Supply Chains," Management Science, INFORMS, vol. 51(1), pages 45-59, January.
    6. Jack High (ed.), 2001. "Competition," Books, Edward Elgar Publishing, number 1751.
    7. Abiru, Masahiro, 1988. "Vertical Integration, Variable Proportions and Successive Oligopolies," Journal of Industrial Economics, Wiley Blackwell, vol. 36(3), pages 315-325, March.
    8. L. S. Lasdon & R. C. Terjung, 1971. "An Efficient Algorithm for Multi-Item Scheduling," Operations Research, INFORMS, vol. 19(4), pages 946-969, August.
    9. Nam, Sang-jin & Logendran, Rasaratnam, 1992. "Aggregate production planning -- A survey of models and methodologies," European Journal of Operational Research, Elsevier, vol. 61(3), pages 255-272, September.
    10. Fernando Bernstein & Gregory A. DeCroix, 2004. "Decentralized Pricing and Capacity Decisions in a Multitier System with Modular Assembly," Management Science, INFORMS, vol. 50(9), pages 1293-1308, September.
    11. Greenhut, M L & Ohta, H, 1979. "Vertical Integration of Successive Oligopolists," American Economic Review, American Economic Association, vol. 69(1), pages 137-141, March.
    12. Griffin, James M, 1985. "OPEC Behavior: A Test of Alternative Hypotheses," American Economic Review, American Economic Association, vol. 75(5), pages 954-963, December.
    13. Ziss, Steffen, 1995. "Vertical Separation and Horizontal Mergers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 63-75, March.
    14. Leonard F. Herk, 1993. "Consumer Choice and Cournot Behavior in Capacity-Constrained Duopoly Competition," RAND Journal of Economics, The RAND Corporation, vol. 24(3), pages 399-417, Autumn.
    15. Fred Hanssmann & Sidney W. Hess, 1960. "A Linear Programming Approach to Production and Employment Scheduling," Management Science, INFORMS, vol. 0(1), pages 46-51, January.
    16. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
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    Cited by:

    1. Noroozi, Sayeh & Wikner, Joakim, 2017. "Sales and operations planning in the process industry: A literature review," International Journal of Production Economics, Elsevier, vol. 188(C), pages 139-155.

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