Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand

被引:59
作者
Chang, HC [1 ]
Yao, JS
Ouyang, LY
机构
[1] Natl Taichung Inst Technol, Dept Logist Engn & Management, Taichung 404, Taiwan
[2] Natl Taiwan Univ, Dept Math, Taipei 251, Taiwan
[3] Tamkang Univ, Dept Management Sci, Taipei 106, Taiwan
关键词
inventory; lead time; fuzzy random variable; fuzzy total cost;
D O I
10.1016/j.ejor.2004.04.044
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
This article considers the mixture inventory model involving variable lead time with backorders and lost sales. We first fuzzify the random lead-time demand to be a fuzzy random variable and obtain the total cost in the fuzzy sense. Then, we further fuzzify the total demand to be the triangular fuzzy number and derive the fuzzy total cost. By the centroid method of defuzzification, we derive the estimate of total cost in the fuzzy sense. Also, we find the optimal solution for order quantity and lead time in the fuzzy sense such that the total cost has a minimum value. A numerical example is provided to illustrate the results of proposed model. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:65 / 80
页数:16
相关论文
共 19 条
[1]   INVENTORY MODELS INVOLVING LEAD TIME AS A DECISION VARIABLE [J].
BENDAYA, M ;
RAOUF, A .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1994, 45 (05) :579-582
[2]   Economic reorder point for fuzzy backorder quantity [J].
Chang, SC ;
Yao, JS ;
Lee, HM .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 109 (01) :183-202
[3]   Backorder fuzzy inventory model under function principle [J].
Chen, SH ;
Wang, CC ;
Ramer, A .
INFORMATION SCIENCES, 1996, 95 (1-2) :71-79
[4]   An application of fuzzy set theory to inventory control models [J].
Gen, M ;
Tsujimura, Y ;
Zheng, DZ .
COMPUTERS & INDUSTRIAL ENGINEERING, 1997, 33 (3-4) :553-556
[5]   A stochastic inventory problem with fuzzy shortage cost [J].
Ishii, H ;
Konno, T .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 106 (01) :90-94
[6]  
Kaufmann A., 1991, Introduction to fuzzy arithmetic: Theory and applications
[7]   Economic production quantity for fuzzy demand quantity and fuzzy production quantity [J].
Lee, HM ;
Yao, JS .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 109 (01) :203-211
[8]  
LIAO CJ, 1991, INT J OPER PROD MAN, V11, P72
[9]   Fuzzy economic production for production inventory [J].
Lin, DC ;
Yao, JS .
FUZZY SETS AND SYSTEMS, 2000, 111 (03) :465-495
[10]   A minimax distribution free procedure for mixed inventory model involving variable lead time with fuzzy demand [J].
Ouyang, LY ;
Yao, JS .
COMPUTERS & OPERATIONS RESEARCH, 2002, 29 (05) :471-487