THE STATIONARY BEHAVIOR OF A TIME-SHARING SYSTEM UNDER POISSON ASSUMPTIONS.

Abstract : In a recent paper (AD-611 866), the author analyzed a Markov chain imbedded in the stochastic process (X(t);t> or = 0) where X(t) denotes the number of active channels at time t in a time-sharing system with both interarrival and service times exponential and a finite number of users. In this paper, by using renewaltheoretic arrangements, the limiting distribution of X(t) is obtained as t goes to infinity over all time points. The equilibrium waiting time has also been analyzed. (Author)