Articles

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

  • HOU Yu-Mei ,
  • LIU Wen-Yuan ,
  • ZHANG Qiang ,
  • WU Feng-Qing
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  • 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 date: 2007-10-25

  Revised date: 2008-07-04

  Online 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)

Abstract

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, …, qm) 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.

Cite this article

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 . DOI: 10.1016/S0252-9602(11)60214-2

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