Analysis of two commodity Markovian inventory system with lead time |
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Authors: | N Anbazhagan G Arivarignan |
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Institution: | 1. Department of Applied Mathematics and Statistics, Madurai Kamaraj University, 625 021, Madurai, India
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Abstract: | A two commodity continuous review inventory system with independent Poisson processes for the demands is considered in this paper. The maximum inventory level for the i-th commodity is fixed asS i (i = 1,2). The net inventory level at timet for the i-th commodity is denoted byI i(t),i = 1,2. If the total net inventory levelI(t) =I 1(t) +I 2(t) drops to a prefixed level s \leqslant \tfrac(S1 - 2)2or\tfrac(S2 - 2)2]s \leqslant \tfrac{{(S_1 - 2)}}{2}or\tfrac{{(S_2 - 2)}}{2}] , an order will be placed for (S i −s) units of i-th commodity(i=1,2). The probability distribution for inventory level and mean reorders and shortage rates in the steady state are computed. Numerical illustrations of the results are also provided. |
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