(s, S) Continuous Review Models for Products with Fixed Lifetimes

Liming Liu and Zhaotong Lian
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Liming Liu: Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Zhaotong Lian: University of Massachusetts, Amherst, Massachusetts 01003

Operations Research, 1999, vol. 47, issue 1, 150-158

Abstract: We analyze an ( s , S ) continuous review perishable inventory system with a general renewal demand process and instantaneous replenishments. Though continuous review systems seem more amenable to optimization analysis than do periodic review systems, the existing literature addressing this type of model is rather limited. This limitation motivated us to seek greater understanding of this important class of inventory models. Using a Markov renewal approach, we obtain closed-form solutions for the steady state probability distribution of the inventory level and system performance measures. We then construct a closed-form expected cost function. Useful analytical properties for the cost function are identified and extensive computations are conducted to examine the impact of different parameters. The numerical results illustrate the system behavior and lead to managerial insights into controlling such inventory systems.

Keywords: inventory/production; perishable; continuous review; Markov renewal (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (25)

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