Computational issues in a stochastic finite horizon one product recovery inventory model

被引:52
作者
Kiesmüller, GP
Scherer, CW
机构
[1] Tech Univ Eindhoven, Fac Technol Management, NL-5600 MB Eindhoven, Netherlands
[2] Delft Univ Technol, Mech Engn Syst & Control Grp, NL-2628 CD Delft, Netherlands
关键词
inventory; optimal control; dynamic programming; reverse logistics;
D O I
10.1016/S0377-2217(02)00249-7
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
Inderfurth [OR Spektrum 19 (1997) 111] and Simpson [Operations Research 26 (1978) 270] have shown how the optimal decision rules in a stochastic one product recovery system with equal leadtimes can be characterized. Using these results we provide in this paper a method for the exact computation of the parameters which determine the optimal periodic policy. Since exact computation is, especially in case of dynamic demands and returns, quite time consuming, we also provide two different approximations. One is based on an approximation of the value-function in the dynamic programming problem while the other approximation is based on a deterministic model. By means of numerical examples we compare our results and discuss the performance of the approximations. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:553 / 579
页数:27
相关论文
共 8 条
[1]  
[Anonymous], 1976, Mathematics in Science and Engineering
[2]  
Bellmann R., 1957, DYNAMIC PROGRAMMING
[3]  
Hadley G., 1963, ANAL INVENTORY SYSTE
[4]   Simple optimal replenishment and disposal policies for a product recovery system with leadtimes [J].
Inderfurth K. .
Operations-Research-Spektrum, 1997, 19 (2) :111-122
[5]  
INDERFURTH K, 1998, ANAL MRP POLICIES RE, P1
[6]  
Kiesmuller G. P., 2000, IMA Journal of Mathematics Applied in Business and Industry, V11, P189, DOI 10.1093/imaman/11.3.189
[7]   OPTIMUM SOLUTION STRUCTURE FOR A REPAIRABLE INVENTORY PROBLEM [J].
SIMPSON, VP .
OPERATIONS RESEARCH, 1978, 26 (02) :270-281
[8]   Production planning and inventory control with remanufacturing and disposal [J].
vanderLaan, E ;
Salomon, M .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1997, 102 (02) :264-278