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Job assignment in large-scale service systems with affinity relations

Author

Listed:
  • Ellen Cardinaels

    (Eindhoven University of Technology)

  • Sem C. Borst

    (Eindhoven University of Technology)

  • Johan S. H. Leeuwaarden

    (Eindhoven University of Technology)

Abstract

We consider load balancing in service systems with affinity relations between jobs and servers. Specifically, an arriving job can be assigned to a fast, primary server from a particular selection associated with this job or to a secondary server to be processed at a slower rate. Such job–server affinity relations can model network topologies based on geographical proximity, or data locality in cloud scenarios. We introduce load balancing schemes that assign jobs to primary servers if available, and otherwise to secondary servers. A novel coupling construction is developed to obtain stability conditions and performance bounds. We also conduct a fluid limit analysis for symmetric model instances, which reveals a delicate interplay between the model parameters and load balancing performance.

Suggested Citation

  • Ellen Cardinaels & Sem C. Borst & Johan S. H. Leeuwaarden, 2019. "Job assignment in large-scale service systems with affinity relations," Queueing Systems: Theory and Applications, Springer, vol. 93(3), pages 227-268, December.
    • Handle: RePEc:spr:queues:v:93:y:2019:i:3:d:10.1007_s11134-019-09633-y
    DOI: 10.1007/s11134-019-09633-y
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    References listed on IDEAS

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    1. Hunt, P. J. & Kurtz, T. G., 1994. "Large loss networks," Stochastic Processes and their Applications, Elsevier, vol. 53(2), pages 363-378, October.
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    Cited by:

    1. Dieter Fiems & Eline De Cuypere & Koen De Turck & Dieter Claeys, 2020. "Performance Analysis of Hybrid MTS/MTO Systems with Stochastic Demand and Production," Mathematics, MDPI, vol. 8(11), pages 1-16, November.

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