On BASTA for discrete-time queues

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-11-01 DOI:10.1016/j.orl.2024.107206

Muhammad El-Taha

引用次数: 0

Abstract

We address the issue of Bernoulli/Geometric arrivals see time-averages, BASTA, in discrete-time queues when using a variety of scheduling rules. It is well-known that BASTA/ASTA holds in the framework of a discrete-time process with an imbedded arrival process without regard to scheduling rules. However, when scheduling rules are invoked, it is not always clear whether arrivals see time averages as asserted by the general theory. We resolve this issue so that BASTA/ASTA holds regardless of the scheduling rule at play.

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关于离散时间队列的 BASTA

我们讨论了在离散时间队列中使用各种调度规则时的伯努利/几何到达时间平均（BASTA）问题。众所周知，在不考虑调度规则的情况下，BASTA/ASTA 在包含到达过程的离散时间过程框架中成立。然而，当调度规则被调用时，到达过程是否如一般理论所断言的那样具有时间平均性并不总是很清楚。我们解决了这个问题，因此无论调度规则如何，BASTA/ASTA 都成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

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.