We study a tandem queueing system with K servers and no waiting space in between. A customer needs service from one server but can leave the system only if all down-stream servers are unoccupied. Such a system is often observed in toll collection during rush hours in transportation networks, and...

In this article, a semi-discrete method for solving a class of generalized Schrödinger-type equations is presented. By discretization of the spatial variables, the initial-boundary value problem for partial differential equations can be reduced to the initial value problem for ordinary...

Several useful point processes such as the Markovian arrival process, the input and departure processes of finite-capacity Markovian queues, and various models for counters and biological phenomena are obtained by considering Markov chains with marked transitions. This point of view yields many...