A multi-item mixture inventory model involving random lead time and demand with budget constraint and surprise function

被引：19

作者：

Bera, U. K. ^{[1
]}

Rong, M. ^{[2
]}

Mahapatra, N. K. ^{[3
]}

Maiti, M. ^{[4
]}

机构：

[1] Bengal Inst Technol & Management, Dept Math, Birbhum 731236, WB, India

[2] Bangabasi Evening Coll, Dept Math, Kolkata 9, WB, India

[3] Panskura Banamali Coll, Dept Math, Purba Medinipur 721152, WB, India

[4] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, WB, India

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 12期

关键词：

Inventory; Random demand rate; Random lead time; Surprise function; Fuzzy chance-constrained; STOCHASTIC DEMAND; BACKORDERS; SYSTEMS;

D O I：

10.1016/j.apm.2009.03.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study deals with a multi-item mixture inventory model in which both demand and lead time are random. A budget constraint is also added to this model. The optimization problem with budget constraint is then transformed into a multi-objective optimization problem with the help of fuzzy chance-constrained programming technique and surprise function. In our studies, we relax the assumption about the demand, lead time and demand during lead time that follows a known distribution and then apply the minimax distribution free procedure to solve the problem. We develop an algorithm procedure to find the optimal order quantity and optimal value of the safety factor. Finally, the model is illustrated by a numerical example. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4337 / 4344

页数：8

共 24 条

[1]

[Anonymous], INT J OPERATIONS PRO

[2]

[Anonymous], 1915, FACTORY MANAGEMENT S

[3]

Bagchi U., 1986, Journal of Operations Management, V6, P159

[4] 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

[5] INVENTORY CONTROL WITH NORMAL DEMAND AND GAMMA LEAD TIMES [J].

BURGIN, TA .

OPERATIONAL RESEARCH QUARTERLY, 1972, 23 (01) :73-&

[6]

Carlson P.G., 1982, Decision Sciences, V13, P120

[7] Integrated vendor-buyer cooperative inventory models with controllable lead time and ordering cost reduction [J].

Chang, HC ;

Ouyang, LY ;

Wu, KS ;

Ho, CH .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 170 (02) :481-495

[8] CHANCE-CONSTRAINED PROGRAMMING [J].

CHARNES, A ;

COOPER, WW .

MANAGEMENT SCIENCE, 1959, 6 (01) :73-79

[9]

Cheng-Kang Chen, 2001, International Journal on Information and Management Sciences, V12, P1

[10]

Chiu PP, 1998, THESIS NATL TAIWAN U

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