Application of uncertain variables to production planning in a class of manufacturing systems

• Autorzy: Gąsior D. , Józefczyk J.
• Języki publikacji: EN

Abstrakty

EN

A production planning problem is addressed in the paper. It consists in the determination of a production plan of products to maximize a total utility connected with their manufacture taking into account a limited amount of resources of different types which are necessary for the production. An uncertain version of the problem is considered when an amount of the resources are not precisely known. The formalism of uncertain variables is proposed in the paper to solve this problem. The solution algorithms for two versions of the uncertain production planning problem are presented. It turned out possible to replace the uncertain problems by their deterministic counterparts. A simple numerical example illustrates the solution algorithms.

Słowa kluczowe

EN

production planning; decision making; intelligent manufacturing systems; uncertainty; knowledge-based systems

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2009
• Tom: Vol. 57, nr 3
• Strony: 249--256
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Gąsior D.

autor

Józefczyk J.

• Institute of Informatics, Wroclaw University of Technology, 27 Wybrzeże Wyspiańskiego St., 50-370 Wrocław, Poland,

Bibliografia

• [1] D.W. Fogarty and R. Hoffmann, Production and Inventory Management, OH: South-Western, Cincinnati, 1983.
• [2] S. Nam and R. Logendran, "Aggregate production planning -a survey of models and methodologies", Eur. J. Operational Research 61, 255-272 (1992).
• [3] K. Jain and K. Varadarajan, "Equilibria for economies with production: constant-returns technologies and production planning constraints", Proc. 17th Annual ACM-SIAM Symp. on Discrete Algorithms ACM, CD ROM (2006).
• [4] M.A. Baker and D.M. Byrne, "Stochastic linear optimization of an MPMP production planning model". Int. J. Production Economics 55, 87-96 (1998).
• [5] H.M. Hsu and P. Wang, "Possibilistic programming in production planning of assemble-to-order environments", Fuzzy Sets Systems 119, 59-70 (2001).
• [6] M. Baioletti, A. Milani, and V. Poggioni, "Planning with fuzzy resources", LNCS 2829, 336-348 (2003).
• [7] D. Wang and F. Shu-Cheng "A genetics-based approach for aggregated production planning in a fuzzy environment", IEEE Trans, on SMC-Part A: Systems and Humans 27, 636-645 (1997).
• [8] X. Feng and J. Gao, "A two-stage production planning model in fuzzy decision systems", World J. Modeling and Simulation 2, 290-296 (2006).
• [9] M.V. Devyatcrikova and A.A. Kolokolov, "L-class enumeration algorithms for one interval production planning problem", Proc. IFAC Symp. on Information Control Problems in Manufacturing 3, 9-14 (2006).
• [10] Z. Bubnicki , Analysis and Decision Making in Uncertain Systems, Springer Verlag, New York, 2004.
• [11] U. Bardak, E. Fink, and J.G. Carbonell, "Scheduling with uncertain resources: representation and utility function", Proc. IEEE Int. Conf. on Systems, Man, Cybernetics 2, CD ROM (2006).
• [12] Y. Kainuma and N. Tawara, "A multiple attribute utility theory to lean and green supply chain management", Int. J. Production Economy 101, 99-108 (2006).
• [13] Y. Chevaleyre, P.E. Dunne, U. Endriss, J. Lang, M. Lemailre, N. Maudet, J. Padget, S. Phelps, J.A. Rodrigues-Aguilar, and P. Sousa, "Issues in multiagent resource allocation", Informatica 30, 3-31 (2006).
• [14] M. Turowska, "Application of uncertain variables to stability analysis and stabilization for ATM ABR congestion control systems", Proc. Int. Conf. on Enterprise Information Systems 3070, 523-526 (2004).
• [15] D. Gąsior, "QoS rate allocation in computer networks under uncertainty", Kybernetes 37, 693-712 (2008).
• [16] Z. Bubnicki, "Application of uncertain variables to decision making in a class of distributed computer systems", in Intelligent Information Processing, pp. 261-264, Kluwer Academic Publishers, Norwell, 2002.
• [17] Z. Bubnicki, "Uncertain variables and learning process in an intelligent transportation system with production units", Proc. 5th IFAC/EURON Symposium on Intelligent Autonomous Vehicles 2, CD ROM (2004).
• [18] J. Józefczyk and D. Orski, "Algorithms for decision making in transportation systems with uncertain knowledge", in: Advanced OR and Al Methods in Transportation, pp. 753-757, ed. A. Jaszkiewicz, Publishing House of Poznan University of Technology, Poznań, 2005.
• [19] Z. Bubnicki, Modern Control Theory, Springer Verlag, Berlin, 2005.
• [20] Z. Bubnicki, "Uncertain variables and their applications in uncertain systems", in: Information Technology in Systems Research, pp. 31-54, eds. P. Kulczycki, O. Hryniewicz, and J. Kacprzyk, WNT, Warszawa, 2007, (in Polish).
• [21] S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, 2004.