Abstract
We use the paradigm of multiagent systems to solve the Job Shop problem. It concerns the allocation of machines to operations of some production process over time periods and its goal is the optimization of one or several objectives. We propose a combinatorial auction mechanism to coordinate agents. The “items” to be sold are the time slots that we divide the time horizon into. In tasks scheduling problems tasks need a combination of time slots of multiple resources to do the operations. The use of auctions in which different valuations of interdependent items are considered (e.g. combinatorial auctions) is necessary. The auctioneer fixes prices comparing the demand over a time slot of a resource with the capacity of the resource in this time slot. Our objective is to find an updating price method for combinatorial auctions that meet the needings of scheduling manufacturing systems in dynamic environments, e.g. robustness, stability, adaptability, and efficient use of available resources.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pinedo, E.P.M.L.: Scheduling, 2nd edn. Springer, New York (2008)
Shen, W.: Distributed manufacturing scheduling using intelligent agents. Intelligent Systems 17(1), 88–94 (2002)
Shen, W., et al.: Applications of agent-based systems in intelligent manufacturing: An updated review. Advanced Engineering Informatics 20(4), 415–431 (2006)
Lee, Kim: Multi-agent systems applications in manufacturing systems and supply chain management: a review paper. International Journal of Production Research 46(1), 233–265 (2008)
Ouelhadj, D., Petrovic, S.: A survey of dynamic scheduling in manufacturing systems. Journal of Scheduling 12(4), 417–431 (2009)
Kutanoglu, E., Wu, S.D.: On combinatorial auction and Lagrangean relaxation for distributed resource scheduling. IIE Transactions 31(9), 813–826 (1999)
Wellman, M.P., et al.: Auction Protocols for Decentralized Scheduling. Games and Economic Behavior 35(1-2), 271–303 (2001)
de Vries, S., Vohra, R.V.: Combinatorial Auctions: A Survey. Informs Journal on Computing 15(3), 284–309 (2003)
Dewan, P., Joshi, S.: Auction-based distributed scheduling in a dynamic job shop environment. International Journal of Production Research 40(5), 1173–1191 (2002)
Duffie, N.A.: Synthesis of heterarchical manufacturing systems. Comput. Ind. 14(1-3), 167–174 (1990)
Wang, J., et al.: An optimization-based algorithm for job shop scheduling. SADHANA 22, 241–256 (1997)
Geoffrion, A.M.: Lagrangean relaxation for integer programming. En Approaches to Integer Programming, 82–114 (1974), http://dx.doi.org/10.1007/BFb0120690 (Accedido Mayo 20, 2009)
Fisher, M.L.: The Lagrangian Relaxation Method for Solving Integer Programming Problems. Management Science 50(suppl.12), 1861–1871 (2004)
Guignard, M.: Lagrangean relaxation. TOP 11(2), 151–200 (2003)
Camerini, P.M., Fratta, L., Maffioli, F.: On improving relaxation methods by modified gradient techniques. En Nondifferentiable Optimization, 26–34 (1975), http://dx.doi.org/10.1007/BFb0120697 (Accedido Junio 3, 2009)
Brännlund, U.: A generalized subgradient method with relaxation step. Mathematical Programming 71(2), 207–219 (1995)
Zhao, X., Luh, P., Wang, J.: The surrogate gradient algorithm for Lagrangian relaxation method. In: Proceedings of the 36th IEEE Conference on Decision and Control, vol. 1, pp. 305–310 (1997)
Chen, H., Luh, P.: An alternative framework to Lagrangian relaxation approach for job shop scheduling. European Journal of Operational Research 149(3), 499–512 (2003)
Demirkol, E., Mehta, S., Uzsoy, R.: Benchmarks for shop scheduling problems. European Journal of Operational Research 109(1), 137–141 (1998)
Kreipl, S.: A large step random walk for minimizing total weighted tardiness in a job shop. Journal of Scheduling 3(3), 125–138 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Villahoz, J.J.L., del Olmo Martínez, R., Arauzo, A.A. (2010). Combinatorial Auctions for Coordination and Control of Manufacturing MAS: Updating Prices Methods. In: Corchado, E., Novais, P., Analide, C., Sedano, J. (eds) Soft Computing Models in Industrial and Environmental Applications, 5th International Workshop (SOCO 2010). Advances in Intelligent and Soft Computing, vol 73. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13161-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-13161-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13160-8
Online ISBN: 978-3-642-13161-5
eBook Packages: EngineeringEngineering (R0)