Markovian Demands on Two Commodity Inventory System with Queue-Dependent Services and an Optional Retrial Facility

Markovian Demands on Two Commodity Inventory System with Queue-Dependent Services and an Optional Retrial Facility

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The use of a Markovian inventory system is a critical part of inventory management.The purpose of this study is to examine the demand for two commodities in a Markovian inventory system, one of which is designated as a major item (Commodity-I) and the other as a complimentary item (Commodity-II).Demand arrives according light pink yeti tumbler to a Poisson process, and service time is exponential at a queue-dependent rate.We investigate a strategy of (s,Q) type control for commodity-I with a random lead time but instantaneous replenishment for commodity-II.

If the waiting hall reaches its maximum capacity of N, any arriving primary client may enter an infinite capacity orbit new balance 990 v3 red with a specified ratio.For orbiting consumers, the classical retrial policy is used.In a steady-state setting, the joint probability distributions for commodities and the number of demands in the queue and the orbit, are derived.From this, we derive a waiting time analysis and a variety of system performance metrics in the steady-state.

Additionally, the physical properties of various performance measures are evaluated using various numerical assumptions associated with diverse stochastic behaviours.