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<p>This paper presents an optimal admission control policy for a single server continuous review stochastic queueing-inventory system where customers arrive according to a Poisson process. The inventory is maintained by (<i>s</i>,&#xa0;<i>Q</i>) policy, that is, whenever the inventory level drops to <i>s</i> an order for <i>Q</i> items is placed and the ordered items are received after an exponential lead times. One item is used to satisfy the customers demand and the demanded items are delivered to the customer after an exponential service times. Formulating this model as a Markov decision problem, we characterize the optimal admission policy as a monotonic threshold function of customers level and the inventory level under the discounted cost criterion. We present some numerical examples to illustrate the result.</p>

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Optimal admission control policy for a single server queueing-inventory system

  • 期刊论文

  • 发表日期：

    2026年7月25日

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  • L. Iniya,
  • B. Sivakumar

摘要

This paper presents an optimal admission control policy for a single server continuous review stochastic queueing-inventory system where customers arrive according to a Poisson process. The inventory is maintained by (s, Q) policy, that is, whenever the inventory level drops to s an order for Q items is placed and the ordered items are received after an exponential lead times. One item is used to satisfy the customers demand and the demanded items are delivered to the customer after an exponential service times. Formulating this model as a Markov decision problem, we characterize the optimal admission policy as a monotonic threshold function of customers level and the inventory level under the discounted cost criterion. We present some numerical examples to illustrate the result.