Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy

被引：27
作者：
Kumar, Anshul [1 ]
Jain, Madhu [1 ]
机构：
[1] Indian Inst Technol Roorkee, Roorkee 247667, Uttaranchal, India
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 204卷
关键词：
Two -stage service; Hybrid vacation policy; Matrix geometric method; Queue size; Particle swarm optimization; Artificial bee colony; optimization; M/M/1 RETRIAL QUEUE; WORKING;
D O I：
10.1016/j.matcom.2022.08.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this investigation, an unreliable server Markovian queueing model is developed for a service system by considering two stage service process and hybrid vacation policy. By including the features of combination of working vacation (WV) and complete vacation (CV), the steady state probability distribution of the queue size of two stage service model via matrix geometric approach has been established. The cost function has been formulated to evaluate the optimal values of the decision variables of the service system. Particle swarm optimization (PSO) and Artificial bee colony (ABC) optimization algorithms are employed to compute the optimal service rates at optimum cost. To validate the model, numerical illustrations along with sensitivity analysis have been provided. (c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：259 / 281
页数：23
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