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PRODUCTION INVENTORY SYSTEM WITH RANDOM SUPPLY INTERRUPTIONS STATUE AND RANDOM LEAD TIMES
Authors:Hou Yumei  Liu Wenyuan  Zhang Qiang  Wu Fengqing
Institution:Hou Yumei 1,2 Liu Wenyuan 1 Zhang Qiang 2 Wu Fengqing 1 1. College of Economics and Management,Yanshan University,Qinhuangdao,066004,China,2. College of Management and Economics,Beijing Institute of Technology,Beijing 100080
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.
Keywords:Markov processes  inventory theory  supply chain management  P Hdistribution  order-up-to policy  
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