Controlling arrival and service of a two-removable-server system using genetic algorithm

This paper considers the optimal management problem of an M/M/2/K queueing system with controlling arrivals and services, in which the servers operate a tridic policy. By applying Markov process, some important performance measures are derived. A cost model is developed to determine the optimal threshold values and the optimal service rate at a minimum cost. Some illustrative examples are provided. The genetic algorithm is employed to search for the joint optimal values of control arrival and service parameters for the system.