In a G/G/c/N system (a queue with general distributions of inter-arrival and service time, c servers and N - c \ge 0 queueing positions), let B be the steady-state probability that an arriving customer finds all queue positions filled and p be the time average probability that all queue...

We consider the problem of simultaneously allocating servers and demands in a service system with independent multiple facilities. We assume a fixed number of facilities and total servers which must service a given Poisson arrival stream. We also assume that service times are identically...

The mean queueing time in a G/GI/m queue is shown to be a nonincreasing and convex function of the number of servers, m. This means that the marginal decrease in mean queueing time brought about by the addition of two extra servers is always less than twice the decrease brought about by the...

Some sharp bounds and simple approximations are obtained for the Erlang delay formula and for the Erlang loss formula. One of the results is then used to get a simple analytical solution for the Server Allocation Problem.

We develop a methodology for studying ''large deviations type'' questions. Our approach does not require that the large deviations principle holds, and is thus applicable to a larg class of systems. We study a system of queues with exponential servers, which share an arrival stream. Arrivals are...

This paper utilizes queuing models to analyze health care processes. We extend previous queuing models to allow for i) heterogeneous resources, ii) resource allocation to various tasks, and iii) teams (complementary resources). We model a process of one clinical unit. We use the model to analyze...

Abstract This paper describes the application of simple quality control charts to monitor the traffic intensity of single server queues, a still uncommon use of what is arguably the most successful statistical process control tool. These charts play a vital role in the detection of increases in...

Abstract The traffic intensity (ρ) is a vital parameter of queueing systems because it is a measure of the average occupancy of a server. Consequently, it influences their operational performance, namely queue lengths and waiting times. Moreover, since many computer, production and...

Queueing network models of computing systems are becoming increasingly popular because of their robustness and ease of solution. The impact of resource request patterning upon these models is presently not well understood. This paper proves the counter-intuitive fact that the effect of both...