Skip to main content
SpringerLink
Log in

Parallel server systems in extended heavy traffic

  • Published:
Queueing Systems Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Atar, R., Castiel, E., Reiman, M.: Parallel server systems under an extended heavy traffic condition: a lower bound. arXiv:2201.07855, Submitted (2022)

  2. Atar, R., Castiel, E., Reiman, M.: Asymptotic optimality of switched control policies in a simple parallel server system under an extended heavy traffic condition (temporary title). Work in Progress (2022)

  3. Bell, S.L., Williams, R.J.: Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy. Ann. Appl. Probab. 11(3), 608–649 (2001)

    Article  Google Scholar 

  4. Bell, S.L., Williams, R.J.: Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: asymptotic optimality of a threshold policy. Electron. J. Probab. 10(33), 1044–1115 (2005)

    Google Scholar 

  5. Harrison, J.M., López, M.J.: Heavy traffic resource pooling in parallel-server systems. Queueing Syst. Theory Appl. 33(4), 339–368 (1999)

  6. Mandelbaum, A., Stolyar, A.L.: Scheduling flexible servers with convex delay costs: heavy-traffic optimality of the generalized \(c\mu \)-rule. Oper. Res. 52(6), 836–855 (2004)

    Article  Google Scholar 

  7. Sheng, D.: Some Problems in the Optimal Control of Diffusions. Ph.D. Thesis, Stanford University, California (1978)

Download references

Author information

Authors and Affiliations

  1. Viterbi Faculty of Electrical and Computer Engineering, Technion, Haifa, Israel

    Rami Atar & Eyal Castiel

  2. Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA

    Martin I. Reiman

Authors
  1. Rami Atar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Eyal Castiel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Martin I. Reiman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rami Atar.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Atar, R., Castiel, E. & Reiman, M.I. Parallel server systems in extended heavy traffic. Queueing Syst 100, 277–279 (2022). https://doi.org/10.1007/s11134-022-09753-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11134-022-09753-y

Search

Navigation