Competition under capacitated dynamic lot-sizing with capacity acquisition
AbstractLot-sizing and capacity planning are important supply chain decisions, and competition and cooperation affect the performance of these decisions. In this paper, we look into the dynamic lot-sizing and resource competition problem of an industry consisting of multiple firms. A capacity competition model combining the complexity of time-varying demand with cost functions and economies of scale arising from dynamic lot-sizing costs is developed. Each firm can replenish inventory at the beginning of each period in a finite planning horizon. Fixed as well as variable production costs incur for each production setup, along with inventory carrying costs. The individual production lots of each firm are limited by a constant capacity restriction, which is purchased up front for the planning horizon. The capacity can be purchased from a spot market, and the capacity acquisition cost fluctuates with the total capacity demand of all the competing firms. We solve the competition model and establish the existence of a capacity equilibrium over the firms and the associated optimal dynamic lot-sizing plan for each firm under mild conditions.
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Bibliographic InfoArticle provided by Elsevier in its journal International Journal of Production Economics.
Volume (Year): 131 (2011)
Issue (Month): 2 (June)
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Web page: http://www.elsevier.com/locate/ijpe
Game theory Capacity optimization Competition Lot-sizing Approximation Equilibrium;
Other versions of this item:
- Hongyan Li & Joern Meissner, 2006. "Competition under Dynamic Lot Sizing Costs with Capacity Acquisition," Working Papers MRG/0006, Department of Management Science, Lancaster University, revised Apr 2010.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jan A. Van Mieghem, 1999. "Coordinating Investment, Production, and Subcontracting," Management Science, INFORMS, vol. 45(7), pages 954-971, July.
- Kirca, Omer, 1990. "An efficient algorithm for the capacitated single item dynamic lot size problem," European Journal of Operational Research, Elsevier, vol. 45(1), pages 15-24, March.
- Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
- Vives, X., 1988.
"Nash Equilibrium With Strategic Complementarities,"
UFAE and IAE Working Papers
107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jan A. Van Mieghem & Nils Rudi, 2002. "Newsvendor Networks: Inventory Management and Capacity Investment with Discretionary Activities," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 313-335, August.
- Arnold, Jan & Minner, Stefan & Eidam, Björn, 2009. "Raw material procurement with fluctuating prices," International Journal of Production Economics, Elsevier, vol. 121(2), pages 353-364, October.
- Alper Atamtürk & Dorit S. Hochbaum, 2001. "Capacity Acquisition, Subcontracting, and Lot Sizing," Management Science, INFORMS, vol. 47(8), pages 1081-1100, August.
- Kenneth R. Baker & Paul Dixon & Michael J. Magazine & Edward A. Silver, 1978. "An Algorithm for the Dynamic Lot-Size Problem with Time-Varying Production Capacity Constraints," Management Science, INFORMS, vol. 24(16), pages 1710-1720, December.
- Roller, Lars-Hendrik & Sickles, Robin C., 2000.
"Capacity and product market competition: measuring market power in a 'puppy-dog' industry,"
International Journal of Industrial Organization,
Elsevier, vol. 18(6), pages 845-865, August.
- Lars-Hendrik Röller & Robin C. Sickles, 1997. "Capacity and Product Market Competition: Measuring Market Power in a "Puppy-Dog" Industry," CIG Working Papers FS IV 97-31, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
- Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, September.
- Jan A. Van Mieghem, 1998. "Investment Strategies for Flexible Resources," Management Science, INFORMS, vol. 44(8), pages 1071-1078, August.
- Akbalik, Ayse & Penz, Bernard, 2009. "Exact methods for single-item capacitated lot sizing problem with alternative machines and piece-wise linear production costs," International Journal of Production Economics, Elsevier, vol. 119(2), pages 367-379, June.
- Dong X. Shaw & Albert P. M. Wagelmans, 1998. "An Algorithm for Single-Item Capacitated Economic Lot Sizing with Piecewise Linear Production Costs and General Holding Costs," Management Science, INFORMS, vol. 44(6), pages 831-838, June.
- Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
- Harrison, J. Michael & Van Mieghem, Jan A., 1999. "Multi-resource investment strategies: Operational hedging under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 113(1), pages 17-29, February.
- Gabriel R. Bitran & Horacio H. Yanasse, 1982. "Computational Complexity of the Capacitated Lot Size Problem," Management Science, INFORMS, vol. 28(10), pages 1174-1186, October.
- Suliman, Saad M.A. & Jawad, Sayed Husain, 2012. "Optimization of preventive maintenance schedule and production lot size," International Journal of Production Economics, Elsevier, vol. 137(1), pages 19-28.
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