This paper relates the reversibility of certain discrete state Markovian queueing networks -- the class of quasi-reversible networks -- to the reversibility of the underlying switching process. Quasi-reversible networks are characterized by a product form equilibrium state distribution. When the...

The performance of single-server queues with independent interarrival intervals and service demands is well understood, and often analytically tractable. In particular, the M/M/1 queue has been thoroughly studied, due to its analytical tractability. Little is known, though, when autocorrelation...

In analyzing the output process generated by a steady-state simulation, we often seek to estimate the expected value of the output. The sample mean based on a finite sample of size n is usually the estimator of choice for the steady-state mean; and a measure of the sample mean's precision is the...

In a previous paper Yamazaki et al. (Yamazaki, G., T. Kawashima, H. Sakasegawa. 1983. Reversibility of tandem blocking queueing systems. Kogakuin University, Tokyo, Japan.) prove that a certain tandem blocking queueing system and its reversed counterpart have the same capacity (throughput). The...