PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES

doi:10.1016/S0252-9602(11)60214-2

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 117-133.doi: 10.1016/S0252-9602(11)60214-2

PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES

侯玉梅^1,2, 刘文远¹, 张强², 仵凤清¹

1. College of Economics and Management, Yanshan University, Qinhuangdao,066004, China|
2. College of Management and Economics, Beijing Institute of Technology, Beijing 100080, China

收稿日期:2007-10-25 修回日期:2008-07-04 出版日期:2011-01-20 发布日期:2011-01-20
基金资助:
This work was supported by the National Natural Science Foundation of China (71071134 and 71001073). It is also funds by Hebei Science and Technology Research and Development Program (10457202D-3) and 2010 Social Development of Research Subject of Hebei Province (201005006)

PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES

HOU Yu-Me^1,2i, LIU Wen-Yuan¹, ZHANG Qiang², WU Feng-Qing¹

1. College of Economics and Management, Yanshan University, Qinhuangdao,066004, China|
2. College of Management and Economics, Beijing Institute of Technology, Beijing 100080, China

Received:2007-10-25 Revised:2008-07-04 Online:2011-01-20 Published:2011-01-20
Supported by:
This work was supported by the National Natural Science Foundation of China (71071134 and 71001073). It is also funds by Hebei Science and Technology Research and Development Program (10457202D-3) and 2010 Social Development of Research Subject of Hebei Province (201005006)

摘要/Abstract

摘要：

This article analyzes a continuous-review inventory system with random supply interruptions and random lead time which may be interrupted by a random number of supplier's OFF periods. The inventory with constant demand rate is managed by a (r; q₁, q₂, …, q_m) policy and supplies from an unreliable sole supplier. By renewal theory and matrix Geometric method, the long-run average cost function is obtained and some important properties of the function are proved. Furthermore, performance of the inventory is derived.

关键词: Markov processes, inventory theory, supply chain management, PH-distribution, order-up-to policy

Abstract:

Key words: Markov processes, inventory theory, supply chain management, PH-distribution, order-up-to policy

中图分类号:

90B05

侯玉梅, 刘文远, 张强, 仵凤清. PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES[J]. 数学物理学报(英文版), 2011, 31(1): 117-133.

HOU Yu-Mei, LIU Wen-Yuan, ZHANG Qiang, WU Feng-Qing. PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES[J]. Acta mathematica scientia,Series B, 2011, 31(1): 117-133.

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PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES

PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES

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