Regenerative approach for analysis of M~X/G1 queue with two service modes

摘要

A single-queue model with group Poisson input and two service modes is considered in which a certain period of time is required to switch from one service mode to the other. Using a regenerative approach, it is possible to estimate the mean number of customers (jobs) in the system for a so-called hysteresis strategy. This also solves the problem of finding a strategy for minimization of the mean number of customers in the systems.