Solving fuzzy problems in operations research: inventory control

Abstract In this paper we are interested in generating good approximate solutions to single item, N-period, fuzzy inventory control problems. It is a fuzzy inventory control problem since some of the parameters (ordering cost, holding cost, penalty cost) can be fuzzy numbers. We consider three cases: (1) demand is known each period; (2) demand is unknown, and fuzzy each period; and (3) demand is fuzzy and backordering is allowed. We employ an evolutionary algorithm to search out good approximate solutions.

[1]  James J. Buckley,et al.  Fuzzy hierarchical analysis revisited , 2001, Eur. J. Oper. Res..

[2]  Jin-Shieh Su,et al.  Fuzzy inventory without backorder for fuzzy order quantity and fuzzy total demand quantity , 2000, Comput. Oper. Res..

[3]  A. M. Geoffrion Proper efficiency and the theory of vector maximization , 1968 .

[4]  James J. Buckley,et al.  Neural net solutions to fuzzy linear programming , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[5]  James J. Buckley,et al.  Multivariate Non-Linear Fuzzy Regression: An Evolutionary Algorithm Approach , 1999, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[6]  Jing-Shing Yao,et al.  Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set , 2000, Eur. J. Oper. Res..

[7]  Janusz Kacprzyk,et al.  Multistage decision-making under fuzziness : theory and applications , 1983 .

[8]  James J. Buckley,et al.  Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming , 2000, Fuzzy Sets Syst..

[9]  Huey-Ming Lee,et al.  Economic order quantity in fuzzy sense for inventory without backorder model , 1999, Fuzzy Sets Syst..

[10]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

[11]  A. Neumaier Interval methods for systems of equations , 1990 .

[12]  Rakesh Nagi,et al.  Fuzzy set theory applications in production management research: a literature survey , 1998, J. Intell. Manuf..

[13]  San-Chyi Chang,et al.  Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number , 1999, Fuzzy Sets Syst..

[14]  Mitsuo Gen,et al.  An application of fuzzy set theory to inventory control models , 1997 .

[15]  Hiroaki Ishii,et al.  Some inventory problems with fuzzy shortage cost , 2000, Fuzzy Sets Syst..

[16]  Augustine O. Esogbue,et al.  Decision criteria and optimal inventory processes , 1999 .

[17]  James J. Buckley,et al.  Linear and non-linear fuzzy regression: Evolutionary algorithm solutions , 2000, Fuzzy Sets Syst..

[18]  Y. Hayashi,et al.  Solving fuzzy problems in operations research: inventory control , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[19]  Huey-Ming Lee,et al.  Fuzzy inventory with or without backorder for fuzzy order quantity with trapezoid fuzzy number , 1999, Fuzzy Sets Syst..