Optimal lot size for an item with partial backlogging rate when demand is stimulated by inventory above a certain stock level

被引：17

作者：

Hsieh, Tsu-Pang ^{[2
]}

Dye, Chung-Yuan ^{[1
]}

Ouyang, Liang-Yuh ^{[3
]}

机构：

[1] Shu Te Univ, Dept Business Management, Kaohsiung 824, Taiwan

[2] Aletheia Univ, Grad Sch Management Sci, Taipei 251, Taiwan

[3] Tamkang Univ, Dept Management Sci & Decis Making, Taipei 251, Taiwan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 1-2期

关键词：

Inventory; Stock-dependent demand; Partial backlogging; DEPENDENT SELLING RATE; EOQ MODELS; SYSTEM; SHORTAGE; TIME; PRICE; BACKORDERS; INFLATION;

D O I：

10.1016/j.mcm.2009.07.017

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a deterministic inventory model with time-dependent backlogging rate is developed. The demand rate is a power function of the on-hand inventory down to a certain stock level, at which the demand rate becomes a constant. We prove that the optimal replenishment policy not only exists but also is unique. Furthermore, we provide simple solution procedures for finding the maximum total profit per unit time. Numerical examples have also been given to illustrate the model and we conclude the paper with suggestions for possible future research. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：13 / 32

页数：20

共 29 条

[1] Optimal pricing and lot-sizing under conditions of perishability and partial backordering [J].