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Effect of global FCFS and relative load distribution in two-class queues with dedicated servers

Content Provider	Springer Nature Link
Author	Claeys, Dieter Mélange, Willem Steyaert, Bart Bruneel, Herwig Walraevens, Joris
Copyright Year	2013
Abstract	In this paper, we investigate multi-class multi-server queueing systems with global FCFS policy, i.e., where customers requiring different types of service—provided by distinct servers—are accommodated in one common FCFS queue. In such scenarios, customers of one class (i.e., requiring a given type of service) may be hindered by customers of other classes. The purpose of this paper is twofold: to gain (qualitative and quantitative) insight into the impact of (i) the global FCFS policy and (ii) the relative distribution of the load amongst the customer classes, on the system performance. We therefore develop and analyze an appropriate discrete-time queueing model with general independent arrivals, two (independent) customer classes and two class-specific servers. We study the stability of the system and derive the system-content distribution at random slot boundaries; we also obtain mean values of the system content and the customer delay, both globally and for each class individually. We then extensively compare these results with those obtained for an analogous system without global FCFS policy (i.e., with individual queues for the two servers). We demonstrate that global FCFS, as well as the relative distribution of the load over the two customer classes, may have a major impact on the system performance.
Ending Page	391
Page Count	17
Starting Page	375
File Format	PDF
ISSN	16194500
e-ISSN	16142411
Journal	4OR
Issue Number	4
Volume Number	11
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-09-21
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Global FCFS Relative load distribution Multi-class queues Queues and service Performance evaluation; queueing; scheduling Operations Research/Decision Theory Industrial and Production Engineering Dedicated servers Queueing theory Optimization
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Management Science and Operations Research Management Information Systems Computational Theory and Mathematics

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