Scholarlink

<p>This study examines the <i>Geo/G/1</i> queue in a service facility associated with (<i>s, Q</i>) inventory policy. Each demand requests for single item. The stock is replenished by an outside supplier, and the lead time for the replenishment is determined by geometric distribution. Demands must wait in an infinite waiting area during stock-out period. The joint probability distribution of the number of demands in the system and the number of items in stock at post-departure epoch is found using the matrix-analytic method. We use a supplementary variable as the remaining service time of a demand to determine the joint probability distribution at outside observer’s epoch. We conduct the waiting time analysis using the probability distribution at random epoch. We obtain the performance measures to construct the cost function. We numerically find the optimum values of the order quantity and reordering point for various model parameters. A comparative study is also accomplished by performing simulation study for the queueing-inventory model under discussion.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Performance analysis of the Geo/G/1 queue in a service facility attached with (s, Q) inventory policy

  • 期刊论文

  • 发表日期：

    2025年7月13日

查看全文
  • Akash Verma,
  • Sujit Kumar Samanta

摘要

This study examines the Geo/G/1 queue in a service facility associated with (s, Q) inventory policy. Each demand requests for single item. The stock is replenished by an outside supplier, and the lead time for the replenishment is determined by geometric distribution. Demands must wait in an infinite waiting area during stock-out period. The joint probability distribution of the number of demands in the system and the number of items in stock at post-departure epoch is found using the matrix-analytic method. We use a supplementary variable as the remaining service time of a demand to determine the joint probability distribution at outside observer’s epoch. We conduct the waiting time analysis using the probability distribution at random epoch. We obtain the performance measures to construct the cost function. We numerically find the optimum values of the order quantity and reordering point for various model parameters. A comparative study is also accomplished by performing simulation study for the queueing-inventory model under discussion.