{"title":"Transient analysis of a renewal input multiserver queueing model with infinite buffer","authors":"Ashwini Soundararajan, F.P. Barbhuiya","doi":"10.1016/j.orl.2025.107275","DOIUrl":null,"url":null,"abstract":"<div><div>This paper presents a time-dependent solution for the system-content distribution of the infinite buffer <span><math><mi>G</mi><mi>I</mi><mo>/</mo><mi>M</mi><mo>/</mo><mi>c</mi></math></span> queue. The supplementary variable and the difference equation technique is used to obtain the probabilities in terms of Laplace transform. Some relevant performance measures are derived and extensive numerical results are presented. It covers a comparison of the impact of heavy-tailed and light-tailed interarrival time distributions on the transient behavior of the system and the underlying system characteristics.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"60 ","pages":"Article 107275"},"PeriodicalIF":0.9000,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725000367","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
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Abstract
This paper presents a time-dependent solution for the system-content distribution of the infinite buffer queue. The supplementary variable and the difference equation technique is used to obtain the probabilities in terms of Laplace transform. Some relevant performance measures are derived and extensive numerical results are presented. It covers a comparison of the impact of heavy-tailed and light-tailed interarrival time distributions on the transient behavior of the system and the underlying system characteristics.
期刊介绍：
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.
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