A bulk queueing system under -policy with bilevel service delay discipline and start-up time.
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 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 finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning
In this paper, application of an evolutionary strategy to positioning a GI/M/1/N-type finite-buffer queueing system with exhaustive service and a single vacation policy is presented. The examined object is modeled by a conditional joint transform of the first busy period, the first idle time and the number of packets completely served during the first busy period. A mathematical model is defined recursively by means of input distributions. In the paper, an analytical study and numerical experiments...
A fixed-size batch service queue with vacations.
A generalization of the Erlang's B formula
A heavy-traffic theorem for the GI/G/1 queue with a Pareto-type service time distribution.
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...
A new approach to the analysis of a discrete round-robin queue
We identify the regions of parameters of the arriving stream in which the ergodic, critical, or supercritical properties of the branching chain are established.
A new approach to time-dependent queueing problem with arrivals having random memory
A non-Markovian queueing system with a variable number of channels.
A non-regenerative model of a redundant repairable system: Bounds for the unavailability and asymptotical insensitivity to the lifetime distribution.
A note on calculating steady state results for an queuing system when the ratio of the arrival rate to the service rate is large.
A note on the convexity of the expected queue length of the queue with respect to the arrival rate: A third proof.