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 situations where the server cannot continuously monitor its queue to sense customer arrivals. For this situation we introduce the T-policy which activates the server T time units after the end of the last busy period. We consider in detail an M/G/1 queue with linear customer holding...

A model for minimizing the average cash balance subject to a constraint on the probability of stock-out is presented. The cash balance is described as an inventory process that changes because of deterministic and stochastic events. Recursive systems of equations are given to find (1) the...