The effects of learning on the optimal production lot size for deteriorating and partially backordered items with time varying demand and deterioration rates

被引：31

作者：

Balkhi, ZT ^{[1
]}

机构：

[1] King Saud Univ, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia

来源：

APPLIED MATHEMATICAL MODELLING | 2003年 / 27卷 / 10期

关键词：

production lot size model; inventory; deterioration; learning process;

D O I：

10.1016/S0307-904X(03)00081-7

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper the full transmission of learning for the general production lot size problem with an infinite planning horizon is studied under the following assumptions: (1) Items deteriorate while they are produced or stored. (2) Both demand and deterioration rates are (known) functions of time. (3) Shortages are allowed, but are partially backordered. (4) The production rate is defined as the number of units produced per unit time. A closed form for the total relevant cost as well as a rigorous mathematical method that leads to a minimum total cost of the underlying inventory system are introduced. An illustrative example which explains the applications of the theoretical results as well as its numerical verification are also given. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：763 / 779

页数：17

共 19 条

[11] The effects of learning and forgetting on the optimal lot size quantity of intermittent production runs [J].

Jaber, MY ;

Bonney, M .

PRODUCTION PLANNING & CONTROL, 1998, 9 (01) :20-27

[12] Optimal lot sizing under learning considerations: The bounded learning case [J].

Jaber, MY ;

Bonney, M .

APPLIED MATHEMATICAL MODELLING, 1996, 20 (10) :750-755

[13]

Keachie EC., 1966, MANAGE SCI, V13, P102, DOI [10.1287/mnsc.13.2.B102, DOI 10.1287/MNSC.13.2.B102]

[14] LEARNING EFFECTS IN ECONOMIC LOT SIZING [J].

MUTH, EJ ;

SPREMANN, K .

MANAGEMENT SCIENCE, 1983, 29 (02) :264-269

[15] An individual-based description of learning within an organization [J].

Nembhard, DA ;

Uzumeri, MV .

IEEE TRANSACTIONS ON ENGINEERING MANAGEMENT, 2000, 47 (03) :370-378

[16] MATHEMATICAL-MODELING OF THE EFFECT OF HUMAN LEARNING IN THE FINITE PRODUCTION INVENTORY MODEL [J].

SALAMEH, MK ;

ABDULMALAK, MAU ;

JABER, MY .

APPLIED MATHEMATICAL MODELLING, 1993, 17 (11) :613-615

[17] The effects of worker learning, forgetting, and heterogeneity on assembly line productivity [J].

Shafer, SM ;

Nembhard, DA ;

Uzumeri, MV .

MANAGEMENT SCIENCE, 2001, 47 (12) :1639-1653

[18]

Wright TP., 1936, Journal of the Aeronautical Sciences, V3, P122, DOI [DOI 10.2514/8.155, 10.2514/8.155]

[19]

Zhou YW, 1998, J OPER RES SOC, V49, P1206

← 1 2 →