A Stackelberg Game Model between Manufacturer and Wholesaler in a Food Supply Chain

Javiera A. Bustos, Sebastián H. Olavarria, Víctor M. Albornoz, Sara V. Rodríguez, Manuel Jiménez-Lizárraga

2017

Abstract

: This paper describes an application of the Stackerlberg game model for the food supply chain. Specifically, the focus of this work is on the pork industry and considers a production game. Such game includes two players, manufacturer and wholesaler, who both aim to maximize profit. The role of leader is played by the manufacturer, and follower by the wholesaler. Decisions involved in the game are the level of production, quantity to be sold by the leader, and level of purchased products by the follower at each time period. This paper presents a case study, and results show that coordination between these players is seen in cost savings and improved service level.

References

  1. Ahumada, O. and Villalobos, J. (2009). Application of planning models in the Agri-food Supply Chain: A review. European Journal of Operational Research, 196(1):1- 20.
  2. Albornoz, V. M., Gonzalez-Araya, M., Gripe, M. C., Rodriguez, S. V., and Treviño, E. J. (2015). An Optimization Model for Planning Operations in a Meat Packing Plant. Operation Research and Enterprise Systems. de Werra, D., Parlier G.H., Vitoriano, B. (Eds). Communications in Computer and Information Science, 577:136-146.
  3. Bard, J. F. (2013). Practical bilevel optimization: algorithms and applications, volume 30. Springer Science & Business Media.
  4. Bard, J. F. and Moore, J. T. (1990). A branch and bound algorithm for the bilevel programming problem. SIAM Journal on Scientific and Statistical Computing, 11(2):281-292.
  5. Bjørndal, T., Herrero, I., Newman, A., Romero, C., and Weintraub, A. (2012). Operations research in the natural resource industry. International Transactions in Operational Research, 19:39-62.
  6. Dempe, S. (2002). Foundations of bilevel programming. Springer Science & Business Media.
  7. FAO (2016). Food and Agriculture Organization of the United Nations. http://faostat3.fao.org/faostatgateway/go/to/home/E/ [Online; accessed 03- September-2016].
  8. Fortuny-Amat, J. and McCarl, B. (1981). A representation and economic interpretation of a two-level programming problem. Journal of the operational Research Society, 32(9):783-792.
  9. Hennet, J.-C. and Arda, Y. (2008). Supply chain coordination: A game-theory approach. Engineering Applications of Artificial Intelligence, 21(3):399-405.
  10. Higgins, A., Miller, C., Archer, A., Ton, T., Fletcher, C., and McAllister, R. (2010). Challenges of operations research practice in agricultural value chains. Journal of the Operational Research Society, 61(6):964-973.
  11. Marulanda, M. V. and Delgado, J. F. T. (2012). Análisis de teoría de juegos en cadenas de suministros de dos niveles, productor-comprador, bajo esquema vendor managed inventory (vmi). Iteckne, 9(1).
  12. Migdalas, A., Pardalos, P. M., and Värbrand, P. (2013). Multilevel optimization: algorithms and applications, volume 20. Springer Science & Business Media.
  13. Plà, L., Sandars, D., and Higgins, A. (2014). A perspective on operational research prospects for agriculture. Journal of the Operational Research Society, 65:1078-1089.
  14. Rodríguez, S., Plá, L., and Faulín, J. (2014). New opportunities in operations research to improve pork supply chain efficiency. Annals of Operation Research, 219:5-23.
  15. Von Stackelberg, H. (1952). The theory of the market economy. Oxford University Press.
  16. Yue, D. and You, F. (2014). Game-theoretic modeling and optimization of multi-echelon supply chain design and operation under stackelberg game and market equilibrium. Computers & Chemical Engineering, 71:347- 361.
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Paper Citation


in Harvard Style

A. Bustos J., H. Olavarria S., M. Albornoz V., V. Rodríguez S. and Jiménez-Lizárraga M. (2017). A Stackelberg Game Model between Manufacturer and Wholesaler in a Food Supply Chain . In Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-218-9, pages 409-415. DOI: 10.5220/0006201504090415


in Bibtex Style

@conference{icores17,
author={Javiera A. Bustos and Sebastián H. Olavarria and Víctor M. Albornoz and Sara V. Rodríguez and Manuel Jiménez-Lizárraga},
title={A Stackelberg Game Model between Manufacturer and Wholesaler in a Food Supply Chain},
booktitle={Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2017},
pages={409-415},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006201504090415},
isbn={978-989-758-218-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A Stackelberg Game Model between Manufacturer and Wholesaler in a Food Supply Chain
SN - 978-989-758-218-9
AU - A. Bustos J.
AU - H. Olavarria S.
AU - M. Albornoz V.
AU - V. Rodríguez S.
AU - Jiménez-Lizárraga M.
PY - 2017
SP - 409
EP - 415
DO - 10.5220/0006201504090415