Equilibrium analysis in batch-arrival queues with complementary services

Numerical analysis of queues with batch arrivals

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...

On One Approach to Study of Departure Process in Batch Arrival Queues with Multiple Vacations

A batch arrival single-server queueing system of a general type is considered. At the end of each busy period the server begins a multiple vacation period when the service process is stopped. A new approach to the study of departure process in such a system is proposed. Using the formula of total probability and renewal theory we direct the analysis to that in the system without vacations. An e...

Emergency Service Vehicle Location Problem with Batch Arrival of Demands

In this paper an emergency service vehicle (ESV) location problem has been considered in which it is assumed that each emergency call may require more than one ESV. In ESV location problem two factors should be known; the location of stations and the number of ESVs at each station. Hence, a nonlinear mixed integer programming model is presented in order to maximize the total response rate to th...

Matrix Product-Form Solutions for LCFS Preemptive Service Single-Server Queues with Batch Markovian Arrival Streams

This paper considers three variants of last-come first-served (LCFS) preemptive service single-server queues, where customers are served under the LCFS preemptive resume (LCFS-PR), preemptive repeat-different (LCFS-PD), and preemptive repeat-identical (LCFS-PI) disciplines, respectively. These LCFS queues are fed by multiple batch Markovian arrival streams. Service times of customers from each ...