最优地减少排队等候的人数

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-10-27 DOI:10.37394/23203.2023.18.35

Mario Lefebvre

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引用次数: 0

摘要

研究了改进的m /G/k排队模型中减少等待服务的顾客数量的问题。我们假设优化器可以决定在任何时刻有多少服务器正在工作。只要达到目标或达到时间限制，优化问题就会结束。给出了在服务时间不呈指数分布的情况下，用动态规划确定最优控制的情况。

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Reducing the Size of a Waiting Line Optimally

The problem of reducing the number of customers waiting for service in a modifiedM/G/k queueing model is considered. We assume that the optimizer can decide how many servers are working at any time instant. The optimization problem ends as soon as the objective has been achieved or a time limit has been reached. Cases when dynamic programming can be used to determine the optimal control even if the service time is not exponentially distributed are presented.

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.