Title

A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach

Document Type

Conference Proceeding

Publication Date

12-9-2015

Publication Title

Communications in Computer and Information Science

Conference Name

International Conference on Information Technologies and Mathematical Modelling

Abstract

In Chakravarthy [5] a new class of queueing models in which one type of customers opt for cooperative services with fellow customers was introduced in the context of a single server. Under the assumption of versatile Markovian point process for the arrivals, exponential services, and with a limit of no more than two groups of cooperative customers be present in the system, the model was analyzed in steady-state and some interesting numerical examples were illustrated in [5]. In this paper we generalize that cooperative services model by relaxing the assumptions of single server, exponential services, and only two groups be present at any given time. Thus, we consider a multi-server queueing model in which the customers arrive according to a versatile Markovian point process. One type of customers require individual services whereas the second type of customers opt for a cooperative service (to be offered along with other similar customers). We assume that at any given time there can be at mos K,2

Comments

ISBN 978-3-319-25861-4 (Online) ISBN 978-3-319-25860-7 (Print) DOI 10.1007/978-3-319-25861-4_2

Rights Statement

© 2015 Springer International Publishing Switzerland

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