Competitive versus cooperative performances of a Stackelberg game between two suppliers
RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 767-780.

We investigate the competitive and cooperative performances of a supply chain with two capacitated suppliers solicited by a customer who offers a new product procurement suggestion. Suppliers have the option to accept or reject the new product offer according to its profitability. In addition, suppliers have to decide on their base stock levels. We classify suppliers as principal and secondary. The customer usually addresses demand to the principal supplier at first. We consider two schemes: in the first scheme, the principal supplier informs the customer about the demand ratio he wants to be allocated. The customer allocates the remaining quantity to the secondary supplier. In the second scheme, the principal supplier decides to respond to the entire demand and to subcontract a part of it to the secondary supplier. In the competitive situation, we give conditions that allow principal supplier to select the best scheme. We show that the new product offer can be refused while it is accepted when suppliers cooperate. We present a profit allocation policy under which collaboration is beneficial for the two suppliers.

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Accepté le :
DOI : 10.1051/ro/2016050
Classification : 90B50
Mots-clés : Sourcing, subcontracting, supply chain management, game theory, stochastic models
Ernez-Gahbiche, Ibtissem 1 ; Hadjyoussef, Khaled 1 ; Dogui, Abdelwaheb 1 ; Jemai, Zied 2, 3

1 Mechanical Engineering Laboratory, National Engineering School of Monastir, University of Monastir, National Engineering School of Monastir, Av. Ibn Eljazar, 5019 Monastir, Tunisia.
2 OASIS Laboratory, University of Tunis El Manar, Tunisia.
3 Industrial Engineering Laboratory, École Centrale Paris, Grande voies des vignes, 92290 Chatenay-Malabry, France.
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     title = {Competitive versus cooperative performances of a {Stackelberg} game between two suppliers},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
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Ernez-Gahbiche, Ibtissem; Hadjyoussef, Khaled; Dogui, Abdelwaheb; Jemai, Zied. Competitive versus cooperative performances of a Stackelberg game between two suppliers. RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 767-780. doi : 10.1051/ro/2016050. http://archive.numdam.org/articles/10.1051/ro/2016050/

S. Anily and M. Haviv, Cooperation in service systems. Oper. Res. 58 (2010) 660–673. | DOI | MR | Zbl

Y. Arda and J.-C. Hennet, Inventory control in a decentralized two stage make to stock queueing system. Int. J. Syst. Sci. 39 (2008) 741–750. | DOI | MR | Zbl

S. Benjaafar, E. Elahi and K.L. Donohue, Outsourcing via service competition. Manage. Sci. 53 (2007) 241–259. | DOI | Zbl

S. Benjaafar, M. Elhafsi and F. De Véricourt, Demand Allocation in Multiple-Product, Multiple-Facility. Make-to-Stock Systems. Manage. Sci. 50 (2004) 1431–1448. | DOI | Zbl

S. Benjaafar, Y. Li, D. Xu and S. Elhedhli, Demand allocation in systems with multiple inventory locations and multiple demand sources. Manufact. Service Operat. Manage. 10 (2008) 43–60. | DOI

F. Bernstein and F. De Véricourt, Competition for procurement contracts with service guarantees. Oper. Res. 56 (2008) 562–575. | DOI | MR | Zbl

J. Buzacott and J. Shanthikumar, Stochastic models of manufacturing systems, 1st edition. Printice Hall, New Jersey (1993). | Zbl

G. Cachon, M. Lariviere, Supply Chain Coordination with Revenue Sharing Contracts: Strengths and Limitations. Manage. Sci. 51 (2005) 30–44. | DOI | Zbl

G. Cachon, F. Zhang, Procuring Fast Delivery: Sole Sourcing with Information Asymmetry. Manage. Sci. 52 (2006) 881–896. | DOI | Zbl

G. Cachon and F. Zhang, Obtaining Fast Service in a Queueing System via Performance-Based Allocation of Demand. Manage. Sci. 53 (2007) 408–420. | DOI | Zbl

G. Cachon and P. Zipkin, Competitive and cooperative inventory schemes in a two stages supply chain. Manage. Sci. 45 (1999) 936–953. | DOI | Zbl

R. Caldentey, L. Wein, Analysis of a decentralized production − inventory system. Manufact. Service Oper. Manage. 5 (2003) 1–17. | DOI

S. Carr and I. Duenyas, Optimal admission control and sequencing in a make-To-Stock/make-To-Order production system. Oper. Res. 48 (2000) 709–720. | DOI

W. K. Ching, S.M. Choi and X. Huang, Inducing high service capacities in outsourcing via penalty and competition. Int. J. Prod. Res. 49 (2011) 5169–5182. | DOI | Zbl

E. Elahi, Outsourcing through competition: What is the best competition parameter? Int. J. Prod. Econ. 144 (2013) 370–382. | DOI

A. Elomri, Z. Jemai, A. Ghaffari and Y. Dallery, Stability of Hedonic Coalition Structures: Application to a Supply Chain Game. in Applications of Multi-Criteria and Game Theory Approaches, edited by L. Benyoucef et al. Springer Series in Advanced Manufacturing. Springer-Verlag, London (2014) 337–363.

A. Y. Ha, L. Li and S.-M. Ng, Price and Delivery Logistics Competition in a Supply Chain. Manage. Sci. 49 (2003) 1139–1153. | DOI | Zbl

Z. Jemai and F. Karaesmen, Decentralized Inventory Control in a Two-Stage Capacitated Supply Chain. IIE Transactions 39 (2007) 501–512. | DOI

P. Kaminsky, O. Kaya, Combined Make-to-Order/Make-to-Stock Supply Chains. IIE Transactions 41 (2009) 103–119. | DOI

M. Ruth and K. Stanley, Factors Affecting the Selection of Optimal Suppliers in Procurement Management. Int. J. Humanit. Soc. Sci. 14 (2012) 189–193.

G. Sošiæ, Transshipment of Inventories among Retailers: Myopic vs. Farsighted Stability. Manage. Sci. 52 (2006) 1493–1508. | Zbl

Y. Yimin, S. Benjaafar and Y. Gerchak, Capacity Sharing and Cost Allocation among Independent Firms in the Presence of Congestion. Working paper, Department of Mechanical Engineering, University of Minnesota (2009).

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