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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal International Journal of Production Economics.
Volume (Year): 131 (2011)
Issue (Month): 2 (June)
Contact details of provider:
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.:
- Michael Florian & Morton Klein, 1971. "Deterministic Production Planning with Concave Costs and Capacity Constraints," Management Science, INFORMS, vol. 18(1), pages 12-20, September.
- 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.
- 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.
- 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.
- 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, 1999. "Coordinating Investment, Production, and Subcontracting," Management Science, INFORMS, vol. 45(7), pages 954-971, July.
- Jan A. Van Mieghem, 1998. "Investment Strategies for Flexible Resources," Management Science, INFORMS, vol. 44(8), pages 1071-1078, 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.
- 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.
- 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).
- 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.
- 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.
- 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.