Analysis of an exhibiting inventory system |
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| Authors: | S Kalpakam G Arivarignan |
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| Institution: | 1. Department of Mathematics , Indian Institute of Technology , Madras, 600036, India;2. Department of Mathematics , S.S. Government Arts College , Tiruttani, 631209, India |
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| Abstract: | This paper deals with a continuous review (s,S) inventory system having one exhibiting item subject to random failure. It is assumed that the demand epochs form a renewal process and the probability distribution of demand magnitudes depend only on the time elapsed since the previous demand. Replenishment of stock is instantaneous. For this model expression for the limiting distribution of position inventory is derived by applying the techniques of semi-regenerative process. Some special cases are discussed in detail |
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