A General Queuing Model Witharbitrary Service Time Distribution

This paper deals with queuing system when arrival distribution is Poisson, service time distribution is arbitrary with mean service rate µ per unit of time, there is single service channel, system capacity is unlimited and service discipline is first come first serve(FCFS). The steady state equations governing the queue are obtained. Many characteristics for the model viz probability density function (p. d. f.) for waiting time distribution, busy period distribution, etc. are obtained. Particular cases when the service time follows Erlang, Lomax and Laplace distributions, are considered and for all the three cases the steady state equations and various characteristics for the model are derived.