IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v223y2012i3p680-689.html
   My bibliography  Save this article

Aggregate production planning for process industries under oligopolistic competition

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712005280
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2012.07.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Scott M. Carr & Uday S. Karmarkar, 2005. "Competition in Multiechelon Assembly Supply Chains," Management Science, INFORMS, vol. 51(1), pages 45-59, January.
    3. Yunzeng Wang, 2006. "Joint Pricing-Production Decisions in Supply Chains of Complementary Products with Uncertain Demand," Operations Research, INFORMS, vol. 54(6), pages 1110-1127, December.
    4. H. Neil Geismar & Yiwei Huang & Suresh D. Pillai & Chelliah Sriskandarajah & Seokjun Youn, 2020. "Location‐Routing with Conflicting Objectives: Coordinating eBeam Phytosanitary Treatment and Distribution of Mexican Import Commodities," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1506-1531, June.
    5. Kostas Bimpikis & Ozan Candogan & Shayan Ehsani, 2019. "Supply Disruptions and Optimal Network Structures," Management Science, INFORMS, vol. 65(12), pages 5504-5517, December.
    6. Rhim, Hosun & Ho, Teck H. & Karmarkar, Uday S., 2003. "Competitive location, production, and market selection," European Journal of Operational Research, Elsevier, vol. 149(1), pages 211-228, August.
    7. Soo-Haeng Cho, 2014. "Horizontal Mergers in Multitier Decentralized Supply Chains," Management Science, INFORMS, vol. 60(2), pages 356-379, February.
    8. Edirisinghe, N.C.P. & Bichescu, B. & Shi, X., 2011. "Equilibrium analysis of supply chain structures under power imbalance," European Journal of Operational Research, Elsevier, vol. 214(3), pages 568-578, November.
    9. Arunanondchai, May, 2001. "Can Indonesia Gain from Log Export Barriers?," The Warwick Economics Research Paper Series (TWERPS) 619, University of Warwick, Department of Economics.
    10. Li, Bai-Xun & Zhou, Yong-Wu & Li, Ji-zi & Zhou, Shi-ping, 2013. "Contract choice game of supply chain competition at both manufacturer and retailer levels," International Journal of Production Economics, Elsevier, vol. 143(1), pages 188-197.
    11. Abiru, Masahiro & Nahata, Babu & Raychaudhuri, Subhashis & Waterson, Michael, 1998. "Equilibrium structures in vertical oligopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 37(4), pages 463-480, December.
    12. Farahani, Reza Zanjirani & Rezapour, Shabnam & Drezner, Tammy & Fallah, Samira, 2014. "Competitive supply chain network design: An overview of classifications, models, solution techniques and applications," Omega, Elsevier, vol. 45(C), pages 92-118.
    13. Pranab Majumder & Ashok Srinivasan, 2008. "Leadership and Competition in Network Supply Chains," Management Science, INFORMS, vol. 54(6), pages 1189-1204, June.
    14. Lu, Lijian & Wu, Yaozhong, 2015. "Preferences for contractual forms in supply chains," European Journal of Operational Research, Elsevier, vol. 241(1), pages 74-84.
    15. Canan Savaskan & Charles J. Corbett, 2001. "Contracting and Coordination in Closed-Loop Supply Chains," Discussion Papers 1327, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Henderson, Dennis R. & McCorriston, Steve & Sheldon, Ian M., 1993. "Vertical Coordination: Concept, Practice, Theory and Policy Implications for the Agro-Food Sector," Occasional Papers 233157, Regional Research Project NC-194: Organization and Performance of World Food Systems.
    17. Arunanondchai, May, 2002. "Can Indonesia Gain from Log Export Barriers?," Economic Research Papers 269389, University of Warwick - Department of Economics.
    18. Martinez de Albeniz, Victor & Roels, Guillaume, 2007. "Competing for shelf space," IESE Research Papers D/717, IESE Business School.
    19. Sleuwaegen, Leo & Belderbos, Rene & Jie-A-Joen, Clive, 1998. "Cascading contingent protection and vertical market structure," International Journal of Industrial Organization, Elsevier, vol. 16(6), pages 697-718, November.
    20. Ghosh, Arghya & Morita, Hodaka & Wang, Chengsi, 2014. "Horizontal mergers in the presence of vertical relationships," MPRA Paper 60275, University Library of Munich, Germany.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:223:y:2012:i:3:p:680-689. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.