Learn More
This paper considers a class of stationary batch-arrival, bulk-service queues with generalized vacations. The system consists of a single server and a waiting room of infinite capacity. Arrivals of customers follow a batch Markovian arrival process. The server is unavailable for occasional intervals of time called vacations, and when it is available,(More)
We consider finite-and infinite-capacity queues with discrete-time batch Markovian arrival processes (D-BMAP) under the assumption of the Late Arrival System with Delayed Access as well as the Early Arrival System. Using simple arguments such as the balance equation, " rate in = rate out, " we derive relationships among the stationary queue lengths at(More)
This paper considers a production line with two unreliable batch machines and a finite buffer. Batch machines process a set of parts simultaneously; the maximum number in the set is the size of the machine. The purpose of this paper is twofold: (i) to present a model of this system and its exact analysis; (ii) to present new qualitative insights and(More)
  • 1