Analysis of a Queue with General Service Demands and Multiple Servers with Variable Service Capacities

We present the study of a non-classical discrete-time queuing system in which customers each request variable amount service, called their “service demand”, from with multiple servers, can provide capacity”, time slot. The service demands are independent customer to and follow general distribution, whereas capacities phase-type distribution server slot Since an exact analytical analysis for this is infeasible, we propose several approximations key performance characteristics such as mean content delay steady state. accuracy these compared simulations using numerical examples.