FCFS parallel service systems and matching models

Ivo Adan, Rhonda Righter, Gideon Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

Abstract

We consider three parallel service models in which customers of several types are served by several types of servers subject to a bipartite compatibility graph, and the service policy is first come first served. Two of the models have a fixed set of servers. The first is a queueing model in which arriving customers are assigned to the longest idling compatible server if available, or else queue up in a single queue, and servers that become available pick the longest waiting compatible customer, as studied by Adan and Weiss, 2014. The second is a redundancy service model where arriving customers split into copies that queue up at all the compatible servers, and are served in each queue on FCFS basis, and leave the system when the first copy completes service, as studied by Gardner et al., 2016. The third model is a matching queueing model with a random stream of arriving servers. Arriving customers queue in a single queue and arriving servers match with the first compatible customer and leave the system at the moment of arrival, or they leave without a customer. The last model is relevant to organ transplants, to housing assignments, to adoptions and many other situations. We study the relations between these models, and show that they are closely related to the FCFS infinite bipartite matching model, in which two infinite sequences of customers and servers of several types are matched FCFS according to a bipartite compatibility graph, as studied by Adan et al., 2017.

Original languageEnglish
Title of host publicationProceedings of the 11th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2017
Place of PublicationNew York
PublisherAssociation for Computing Machinery, Inc
Pages106-112
Number of pages7
ISBN (Print)978-1-4503-6346-4
DOIs
Publication statusPublished - 5 Dec 2017
Event11th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2017 - Venice, Italy
Duration: 5 Dec 20177 Dec 2017

Conference

Conference11th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2017
CountryItaly
CityVenice
Period5/12/177/12/17

Keywords

  • FCFS
  • Matching
  • Parallel service
  • Redundancy service

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