• An (s, S) Inventory System with Bernoulli Disaster
Abstract
A single commodity (s, S) inventory system with zero lead time is investigated. Shortages are not permitted. A special type of disaster is considered. Computational methods are developed for the calculation of stationary probabilities of Inventory processes and probability distribution of cycles of replenishments. A cost expression for the Expected Total Cost per Transition E (TCT) is obtained. Results are numerically illustrated.
Keywords
Lead Time, Markov renewal process, Semi-Markov Process, Stationary, Probabilities, Expected Total Cost
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