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Comments on: Polling: past, present and perspective

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References

  • Foss SG, Chernova NI (1996) On polling systems with infinitely many stations. Sibe Math J 37:832–846

    Article  Google Scholar 

  • Borovkov AA, Korshunov D, Schassberger R (1999) Ergodicity of a polling network with an lnfinite number of stations. Queueing Syst 32:169–193

    Article  Google Scholar 

  • Chernova N, Foss S, Kim B (2012) On the stability of a polling system with an adaptive service mechanism. Ann Oper Res 198:125–144

    Article  Google Scholar 

  • Remerova M, Foss S, Zwart B (2014) Random fluid limit of an overloaded polling model. Adv Appl Probab 46:832–846

    Article  Google Scholar 

  • Foss S, Kovalevskii A (1999) A stability criterion via fluid limits and its applications to a polling system. Queueing Syst 32:131–168

    Article  Google Scholar 

  • Kovalevskii AP, Topchii VA, Foss SG (2005) On the stability of a queueing system with uncountably branching fluid limits. Probl Inf Transm 41:254–279

    Article  Google Scholar 

  • Chernova N, Foss S, Kim B (2013) A polling system whose stability region depends on a whole distribution of service times. Oper Res Lett 41:188–190

    Article  Google Scholar 

  • Foss SG, Chernova NI (1996) Dominance theorems and ergodic properties of polling systems. Probl Inf Transm 32:342–364

    Google Scholar 

  • Royas-Nandayapa L, Foss S, Kroese DP (2011) Stability and performance of greedy server systems: a review and open problems. Queueing Syst 68:221–226

    Article  Google Scholar 

  • Coffman EG, Gilbert EN (1987) Polling and greedy servers on a line. Queueing Syst 2:115–145

    Article  Google Scholar 

  • Schassberger R (1995) Stability of polling networks with state-dependent server routing. Probab Eng Inf Sci 9:539–550

    Article  Google Scholar 

  • Foss S, Last G (1996) Stability of polling systems with exhaustive service policies and state-dependent routing. Ann Appl Probab 6:116–137

    Article  Google Scholar 

  • Foss S, Last G (1998) On the stability of greedy polling systems with general service policies. Probab Eng Inf Sci 12:49–68

    Article  Google Scholar 

  • Rolla LT, Sidoravicius V (2017) Stability of the Greedy algorithm on the circle. Commun Pure Appl Math 70:1961–1986

    Article  Google Scholar 

  • Robert P (2010) The evolution of a spatial stochastic network. Stoch Proces Appl 120:1342–1363

    Article  Google Scholar 

  • Leskela L, Unger F (2012) Stability of a spatial polling system with Gready Myopic servive. Ann Oper Res 198:165–183

    Article  Google Scholar 

  • Kurkova IA, Menshikov MV (1997) Greedy algorithm, \(Z_1\) case. Markov Proces Relat Fields 3:243–259

    Google Scholar 

  • Cruise RJ, Wade A (2017) The critical Greedy server on the integers is recurrent. ArXiv:1712.03026

  • Foss S, Rolla LT, Sidoravicus V (2015) Greedy Walk on the real line. Ann Probab 43:1399–1418

    Article  Google Scholar 

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Authors and Affiliations

  1. Heriot-Watt University, Edinburgh, UK

    Sergey Foss

  2. Novosibirsk State University, Novosibirsk, Russia

    Sergey Foss

  3. S.L. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Sergey Foss

Authors
  1. Sergey Foss
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Correspondence to Sergey Foss.

Additional information

This comment refers to the invited paper available at https://doi.org/10.1007/s11750-018-0484-5.

Research of S. Foss is supported by RSF research Grant no. 17-11-01173.

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Foss, S. Comments on: Polling: past, present and perspective. TOP 26, 374–378 (2018). https://doi.org/10.1007/s11750-018-0489-0

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