Batch Queues with Choice of Arrivals: Equilibrium Analysis and Experimental Study

Batch queues with choice of arrivals: Equilibrium analysis and experimental study

We study the decisions agents make in two queueing games with endogenously determined arrivals and batch service. In both games, agents are asked to independently decide when to join a queue, or they may simply choose not to join it at all. The symmetric mixed-strategy equilibrium of two games in discrete time where balking is prohibited and where it is allowed are tested experimentally in a st...

Numerical analysis of queues with batch arrivals

Infinite-server Queues with Batch Arrivals and Dependent Service Times

Motivated by large-scale service systems, we consider an infinite-server queue with batch arrivals, where the service times are dependent within each batch. We allow the arrival rate of batches to be time-varying as well as constant. As regularity conditions, we require that the batch sizes be i.i.d. and independent of the arrival process of batches, and we require that the service times within...

Poisson and Gaussian Approximations for Multi-Server Queues with Batch Arrivals and Batch Abandonment

In this paper, we consider nonstationary multi-server queues and multiserver loss queues with batch arrivals and where we allow customer abandonment to also occur as a Markovian batch process. To estimate the performance of the system, we develop two new approximations that take advantage of the functional Kolmogorov forward equations. The first approximation we develop uses the Poisson distrib...

Analysis of Queues with Bat h Arrivals

The steady state distribution of quasi-birth-death pro esses an be eÆ iently obtained by matrix-geometri (MG) methods. Sin e a number of tele ommuni ation problems are modelled by pro esses with bat h arrivals, the extension of MG methods for these pro esses has pra ti al importan e. This paper presents an extension of MG methods whi h is e e tive for the analysis of quasi-birth-death pro esses...