ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY

Abstract

In this study, a semi – Markovian inventory model of type (s,S) is considered and the model is expressed by a modification of a renewal – reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved under some weak conditions. Additionally, exact expressions and three – term asymptotic expansions are found for all the moments of the ergodic distribution. Finally, obtained asymptotic results are compared with exact results for a special case.

Keywords

• Inventory model of type (s,S),Renewal – reward process,Asymmetric triangular distribution,Moments of ergodic distribution

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