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Economic lot-sizing games

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  • Heuvel, Wilco van den
  • Borm, Peter
  • Hamers, Herbert

Abstract

In this paper we introduce a new class of OR games: economic lot-sizing (ELS) games. There are a number of retailers that have a known demand for a fixed number of periods. To satisfy demand the retailers order products at the same manufacturer. By placing joint orders instead of individual orders, costs can be reduced and a cooperative game arises. In this paper we show that ELS games are balanced. Furthermore, we show that two special classes of ELS games are concave.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 176 (2007)
Issue (Month): 2 (January)
Pages: 1117-1130

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Handle: RePEc:eee:ejores:v:176:y:2007:i:2:p:1117-1130

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References

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  1. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 9(2), pages 139-199, December.
  2. Meca, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 2004. "Inventory games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-129329, Tilburg University.
    • Meca-Martinez, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 1999. "Inventory Games," Discussion Paper 1999-53, Tilburg University, Center for Economic Research.
  3. 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.
  4. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
  5. 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.
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Citations

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Cited by:
  1. Körpeoğlu, Evren & Şen, Alper & Güler, Kemal, 2013. "Non-cooperative joint replenishment under asymmetric information," European Journal of Operational Research, Elsevier, vol. 227(3), pages 434-443.
  2. Esmaeili, M. & Aryanezhad, Mir-Bahador & Zeephongsekul, P., 2009. "A game theory approach in seller-buyer supply chain," European Journal of Operational Research, Elsevier, vol. 195(2), pages 442-448, June.
  3. van den Heuvel, W. & Wagelmans, A.P.M., 2007. "Four equivalent lot-sizing models," Econometric Institute Research Papers EI 2007-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  4. van den Heuvel, W. & Wagelmans, A.P.M., 2002. "A Note on Ending Inventory Valuation in Multiperiod Production Scheduling," ERIM Report Series Research in Management ERS-2002-63-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
  5. Li, Jun & Feng, Hairong & Zeng, Yinlian, 2014. "Inventory games with permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 234(3), pages 694-700.
  6. Drechsel, J. & Kimms, A., 2010. "Computing core allocations in cooperative games with an application to cooperative procurement," International Journal of Production Economics, Elsevier, vol. 128(1), pages 310-321, November.
  7. Retel Helmrich, M. & Jans, R.F. & van den Heuvel, W. & Wagelmans, A.P.M., 2012. "The Economic Lot-Sizing Problem with an Emission Constraint," Econometric Institute Research Papers EI 2011-41, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  8. Esmaeili, M. & Zeephongsekul, P., 2010. "Seller-buyer models of supply chain management with an asymmetric information structure," International Journal of Production Economics, Elsevier, vol. 123(1), pages 146-154, January.
  9. Fiestras-Janeiro, M.G. & García-Jurado, I. & Meca, A. & Mosquera, M.A., 2011. "Cooperative game theory and inventory management," European Journal of Operational Research, Elsevier, vol. 210(3), pages 459-466, May.
  10. LAMAS, ALEJANDRO & CHEVALIER, Philippe, 2013. "Jumping the hurdles for collaboration: fairness in operations pooling in the absence of transfer payments," CORE Discussion Papers 2013073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Retel Helmrich, M. & Jans, R.F. & van den Heuvel, W.J. & Wagelmans, A.P.M., 2010. "Economic lot-sizing with remanufacturing: complexity and efficient formulations," Econometric Institute Research Papers EI 2010-71, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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