Publications

Published Papers:

1. R. Atar, E. Castiel, M. Reiman (2023) "Parallel server systems under an extended heavy traffic condition: A lower bound"  Accepted, to appear in Annals of Applied Probability, arXiv: 2201.07855 

2. R. Atar, E. Castiel, Y. Shadmi (2022) "Scheduling in the high uncertainty heavy traffic regime"  Accepted, to appear in Mathematics of Operations Research , arXiv: 2204.05733

3.  R. Atar, E. Castiel, M. Reiman (2022) "Parallel server systems in extended heavy traffic" Queueing Systems 100, 277–279 [poster]

4.  E. Castiel, S. Borst, L. Miclo, F. Simatos, P, Whiting (2021) "Induced idleness leads to deterministic heavy traffic limits for queue-based random-access algorithms" Annals of Applied Probability 31(2), 941-971, arXiv: 1904.03980 [Talk at INFORMS]

Preprints and drafts:

5.   E. Castiel (2021) "Fluid limits of Queue-Based CSMA with polynomial rates, Homogenization and reflections"   submitted, arXiv: 2011.06397

6.    R. Atar, E. Castiel, M. Reiman (2022) "Asymptotic optimality of switched control policies in a simple parallel server system under an extended heavy traffic condition" Submitted, arXiv: 2207.08010

7. E. Castiel "Steady State Analysis of Queue-Based CSMA under homogenization Regime" In preparation

PhD Thesis:

8.   E. Castiel (2019) " Study of QB-CSMA algorithms" ISAE-Supaero, Institut Mathématique de Toulouse