×

A note on coordination in decentralized assembly systems with uncertain component yields. (English) Zbl 1188.90021

Summary: H. Gurnani and Y. Gerchak [Eur. J. Oper. Res. 176, No. 3, 1559–1576 (2007; Zbl 1109.90004)] study coordination of a decentralized assembly system in which the demand of the assembler is deterministic and the component yields are random. They present incentive alignment control mechanisms under which system coordination is achieved. In this note, we extend Gurnani and Gerchak’s model to the case of positive salvage value and \(n\) asymmetric suppliers, and show that the shortage penalty contract which can coordinate Gurnani and Gerchak’s model no longer coordinates the extended model. Furthermore, we present a new kind of contract, surplus subsidy contract, to coordinate the extended model and prove that the profit of the supply chain under coordination can be arbitrarily divided between the component suppliers and the assembler.

MSC:

90B05 Inventory, storage, reservoirs
91A40 Other game-theoretic models

Citations:

Zbl 1109.90004

Software:

Mathematica
Full Text: DOI

References:

[1] Agrawal, N.; Nahmias, S., Rationalization of the supplier base in the presence of yield uncertainty, Production and Operations Management, 6, 291-308 (1997)
[2] Anupindi, R.; Akella, R., Diversification under supply uncertainty, Management Science, 39, 944-963 (1993) · Zbl 0785.90040
[3] Cachon, G. P., Supply chain coordination with contracts, (Graves, S.; de Kok, T., Handbooks in Operations Research and Management Science: Supply Chain Management (2002), North-Holland: North-Holland Amsterdam) · Zbl 1232.90173
[4] Cachon, G. P.; Lariviere, M. A., Supply chain coordination with revenue-sharing contracts: Strengths and limitations, Management Science, 51, 30-44 (2005) · Zbl 1232.90173
[5] Chen, K.; Xiao, T., Demand disruption and coordination of the supply chain with a dominant retailer, European Journal of Operational Research, 197, 225-234 (2009) · Zbl 1157.90438
[6] Ciarallo, F. W.; Akella, R.; Morton, T. E., A periodic review, production planning model with uncertain capacity and uncertain demand-optimality of extended myopic policies, Management Science, 40, 320-332 (1994) · Zbl 0805.90052
[7] Corbett, C.; DeCroix, G., Shared savings contracts in supply chains, Management Science, 47, 881-893 (2001) · Zbl 1232.90271
[8] Dada, M.; Petruzzi, N. C.; Schwarz, L. B., A newsvendor’s procurement problem when suppliers are unreliable, Manufacturing and Service Operations Management, 9, 9-32 (2007)
[9] Erdem, A. S.; Özekici, S., Inventory models with random yield in a random environment, International Journal of Production Economics, 78, 239-253 (2002)
[10] Gerchak, Y.; Vickson, R. G.; Parlar, M., Periodic review production models with variable yield and uncertain demand, IIE Transactions, 20, 144-150 (1988)
[11] Giannoccaro, I.; Pontrandolfo, P., Supply chain coordination by revenue sharing contracts, International Journal of Production Economics, 89, 131-139 (2004)
[12] Güler, M. G.; Bilgiç, T., On coordinating an assembly system under random yield and random demand, European Journal of Operational Research, 196, 342-350 (2003) · Zbl 1159.90309
[13] Gupta, D.; Cooper, W. L., Stochastic comparisons in production yield management, Operations Research, 53, 377-384 (2005) · Zbl 1165.90436
[14] Gurnani, H.; Akella, R.; Lehoczky, J., Optimal order policies in assembly systems with random demand and random supplier delivery, IIE Transactions, 28, 865-878 (1996)
[15] Gurnani, H.; Akella, R.; Lehoczky, J., Supply management in assembly systems with random yield and random demand, IIE Transactions, 32, 701-714 (2000)
[16] Gurnani, H.; Gerchak, Y., Coordination in decentralized assembly systems with uncertain component yields, European Journal of Operational Research, 176, 1559-1576 (2007) · Zbl 1109.90004
[17] Henig, M.; Gerchak, Y., The structure of periodic review policies in the presence of random yield, Operations Research, 38, 634-643 (1990) · Zbl 0721.90034
[18] Li, X.; Wang, Q., Coordination mechanisms of supply chain systems, European Journal of Operational Research, 179, 1-16 (2007) · Zbl 1161.90309
[19] Li, Q.; Zheng, S-H., Joint inventory replenishment and pricing control for systems with uncertain yield and demand, Operations Research, 54, 696-705 (2006) · Zbl 1167.90342
[20] Linh, C. T.; Hong, Y., Channel coordination through a revenue sharing contract in a two-period newsboy problem, European Journal of Operational Research, 198, 822-829 (2009) · Zbl 1176.90172
[21] Krishnan, H.; Kapuscinski, R.; Butz, D., Coordinating contracts for decentralized supply chains with retailer promotional effort, Management Science, 50, 48-63 (2001)
[22] Özekici, S.; Parlar, M., Inventory models with unreliable suppliers in a random environment, Annals of Operations Research, 91, 123-136 (1999) · Zbl 0970.90005
[23] Parlar, M.; Wang, Y. Z.; Gerchak, Y., A periodic review inventory model with markovian supply availability, International Journal of Production Economics, 42, 131-136 (1995)
[24] Weng, Z. K., Coordinating order quantities between the manufacturer and the buyer: A generalized newsvendor model, European Journal of Operational Research, 156, 148-161 (2004) · Zbl 1043.90521
[25] Zhang, X.; Ou, J.; Gilbert, S. M., Coordination of stocking decisions in an assemble-to-order environment, European Journal of Operational Research, 189, 540-558 (2008) · Zbl 1149.90361
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.