Markovian queueing model under Bernoulli vacation and servers’ malfunctioning: Metaheuristic optimization technique

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2024-12-20 DOI:10.1016/j.matcom.2024.12.016

Sonali Thakur , Anamika Jain

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引用次数: 0

Abstract

Bernoulli vacation and effect of malfunctioning are analyzed for Markovian queueing single server model. Server is allowed to opt for the vacation with probability or can serve the upcoming failed unit with probability under the Bernoulli vacation. Meanwhile during busy state servers can face malfunctioning and to overcome this situation a quick repair is imposed to sustain the server in the working state. Performance measures are estimated by framing the Chapman-Kolmogorov equation and the further impact of the model on average expected queue length of units, servers’ reliability and servers’ availability factors are analyzed through R-K fourth order method. Moreover, the cost function is formulated, and the direct search method is used to study the cost variation for the designed model. To explore the economic benefits of the model, the minimum cost is optimized by the meta-heuristic soft computing optimization techniques SCA, TLBO, PSO and GSA. A comparative analysis examines the best approach among the described optimization techniques. Different techniques are used to get the best results and better allocation of resources to achieve efficient costs.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.