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Abstrakty
In this paper we consider the problem of efficient control of inventory systems with perishable goods. In the analyzed setting the deteriorating stock at a distribution center used to fulfill unknown, time-varying demand is replenished with delay from a supply source. The challenging issue is to achieve the high service level with minimum costs when the replenishment orders are procured with lead-time delay spanning multiple review periods. On the contrary to the typical heuristic approaches, we apply formal methodology based on discrete-time sliding-mode (SM) control. The proposed SM controller with the sliding plane selected for a dead-beat scheme ensures that the maximum service level is obtained in the system with arbitrary delay and any bounded demand pattern. In order to account for the supplier capacity limitations in the systems with input constraints, we also develop an alternative control strategy based on reaching law. Both controllers achieve a given service level with smaller holding costs and reduced order-to-demand variance ratio as compared to the classical order-up-to policy.
Rocznik
Tom
Strony
39--49
Opis fizyczny
Bibliogr. 30 poz., rys., tab.
Twórcy
autor
autor
- Institute of Automatic Control, Technical University of Lodz, 18/22 Stefanowskiego St., 90-924 Łódź, Poland, przemyslaw.ignaciuk@ p.lodz.pl
Bibliografia
- [1] P.H. Zipkin, Foundations of Inventory Management. McGraw-Hill, New York, 2000.
- [2] M. Ortega and L. Lin, “Control theory applications to the production-inventory problem: a review”, Int. J. Production Research 42 (11), 2303–2322 (2004).
- [3] H. Sarimveis, P. Patrinos, C.D. Tarantilis, and C.T. Kiranoudis, “Dynamic modeling and control of supply chain systems: a review”, Computers & Operations Research 35 (11), 3530–3561 (2008).
- [4] S. Nahmias, “Perishable inventory theory: a review”, Operations Research 30 (4), 680–708 (1982).
- [5] F. Rafaat, “Survey of literature on continuously deteriorating inventory models”, J. Operational Research Society 42 (1), 27–37 (1991).
- [6] S.K. Goyal and B.C. Giri, “Recent trends in modeling of deteriorating inventory”, Eur. J. Operational Research 134 (1), 1–16 (2001).
- [7] I. Karaesmen, A. Scheller-Wolf, and B. Deniz, “Managing perishable and aging inventories: review and future research directions”, in: Handbook of Production Planning, eds. K. Kempf, P. Keskinocak, and R. Uzsoy, Kluwer, Dordrecht, 2008.
- [8] A. Bensoussan, G. Nissen, and Ch.S. Tapiero, “Optimum inventory and product quality control with deterministic and stochastic deterioration – an application of distributed parameters control systems”, IEEE Trans. on Automatic Control 20 (3), 407–412 (1975).
- [9] A. Andijani and M. Al-Dajani, “Analysis of deteriorating inventory/ production systems using a linear quadratic regulator”, Eur. J. Operational Research 106 (1), 82–89 (1998).
- [10] M.D.S. Aliyu, and E.K. Boukas, “Discrete-time inventory models with deteriorating items”, Int. J. Systems Science 29 (9), 1007–1014 (1998).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0048-0037