完全可见下具有两类顾客和故障启动排队系统的均衡分析

针对两类平行顾客进入排队系统服务的问题,给出在完全故障且可中断启动时间排队模型中两类顾客的均衡策略分析.在该排队系统中,两类顾客平行到达且服从不同参数的负指数分布.系统在服务过程中可能会发生故障,只要系统发生故障就停止工作进入维修状态,直到维修完毕进入忙期.在完全可见的情形下,在考虑"收益-成本"的基础上,提出合理的效用函数对两类平行顾客进行均衡分析,根据自身收益情况考虑个体的最优策略和统筹全局的社会最优收益.此外,通过数值模拟分析系统参数对顾客行为策略的影响.

Equilibrium strategies of queueing system with two types of parallel customers,breakdowns and setup times in fully visible case

Considering two types of parallel customers in the queuing system, equilibrium strategies of the queuing model with breakdown and interruptible type of setup/closedown policies are analyzed, thereby two types of customers arrive in parallel and follow different exponential distribution, respectively. During the busy periods, the server may breakdown, once a breakdown occurs, the server will start to be repaired immediately until the repair is completed, and enter the busy period. The equilibrium balking strategies of the two types of customers and the average social benefits of the system are discussed under the reward-cost structure in the full observable. In addition, numerical experiments are presented.