A bulk queueing system under -policy with bilevel service delay discipline and start-up time.
A computational algorithm for the CPP/M/c retrial queue.
A concurrency control problem in a time-sharing system with different job types
A diffusion model for two parallel queues with processor sharing: Transient behavior and asymptotics.
A discrete single server queue with Markovian arrivals and phase type group services.
A discrete time queueing system with departures having random memory
A discrete-time Geo[X]/G/1 retrial queue with general retrial time and M-additional options for service
This paper concerns a discrete time Geo[X]/G/1 retrial queue with general retrial time in which all the arriving customers require first essential service with probability while only some of them demand one of other optional services: type − r (r = 1, 2, 3,...M) service with probability . The system state distribution, the orbit size and the system size distributions are obtained in terms of generating functions. The stochastic decomposition law holds for the proposed model. Performance measures...
A discrete-time Geo[X]/G/1 retrial queue with general retrial time and M-additional options for service
This paper concerns a discrete time Geo[X]/G/1 retrial queue with general retrial time in which all the arriving customers require first essential service with probability while only some of them demand one of other optional services: type − r (r = 1, 2, 3,...M) service with probability . The system state distribution, the orbit size and the system size distributions are obtained in terms of generating functions. The stochastic decomposition law holds for the proposed model. Performance measures...
A discrete-time system with service control and repairs
A finite capacity bulk service queue with single vacation and Markovian arrival process.
A finite capacity queue with Markovian arrivals and two servers with group services.
A first passage problem and its applications to the analysis of a class of stochastic models.
A fixed-size batch service queue with vacations.
A further study of an approximation for last-exit and first-passage probabilities of a random walk.
A generalization of the Erlang's B formula
A Generalization of the M/G/1 Queue
A heavy-traffic theorem for the GI/G/1 queue with a Pareto-type service time distribution.
A -out-of- reliability system with an unreliable server and phase type repairs and services: The policy.
A limited queuing problem with any number of arrivals and departures
A linear programming approach to error bounds for random walks in the quarter-plane
We consider the steady-state behavior of random walks in the quarter-plane, in particular, the expected value of performance measures that are component-wise linear over the state space. Since the stationary distribution of a random walk is in general not readily available we establish upper and lower bounds on performance in terms of another random walk with perturbed transition probabilities, for which the stationary distribution is a geometric product-form. The Markov reward approach as developed...