应用数学2025，Vol.38Issue(3)：796-805,10.
基于可变服务率M/M/c/N部分可修排队模型的银行服务窗口数优化设计
Optimization Design of Bank Service Window Number Based on Variable Service Rate M/M/c/N Partial Repairable Queuing Model
摘要
Abstract
In this paper,an M/M/c/N queuing model with variable service rate is proposed to model the banking service system.The model takes into account the impatient behavior of customers and the unreliability of some servers.The steady-state equilibrium equation of the system is established by using Markov process theory,and solved by matrix geometry method.The steady-state performance characteristics of the system such as average queue length and total loss rate of customers are obtained.Based on the steady-state performance characteristics of the system,an optimization model aiming at the maximum benefit of the bank is established to determine the optimal window number of the bank,and the optimization model is illustrated by numerical examples.The research of this paper provides a theoretical reference for banks to improve service quality and optimize resource allocation.关键词
可变服务率/M/M/c/N/不耐烦行为/不可靠性Key words
Variable service rate/M/M/c/N/Impatient behavior/Unreliability分类
数理科学引用本文复制引用
赵佳宜,李建军,刘力维..基于可变服务率M/M/c/N部分可修排队模型的银行服务窗口数优化设计[J].应用数学,2025,38(3):796-805,10.基金项目
国家自然科学基金(61773014) （61773014）
