Open problems in queueing theory inspired by datacenter computing
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DOI: 10.1007/s11134-020-09684-6
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- Kristen Gardner & Samuel Zbarsky & Sherwin Doroudi & Mor Harchol-Balter & Esa Hyytiä & Alan Scheller-Wolf, 2016. "Queueing with redundant requests: exact analysis," Queueing Systems: Theory and Applications, Springer, vol. 83(3), pages 227-259, August.
- Peter Iseger & Paul Gruntjes & Michel Mandjes, 2013. "A Wiener–Hopf based approach to numerical computations in fluctuation theory for Lévy processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(1), pages 101-118, August.
- Hunt, P. J. & Kurtz, T. G., 1994. "Large loss networks," Stochastic Processes and their Applications, Elsevier, vol. 53(2), pages 363-378, October.
- Alexander Rumyantsev & Evsey Morozov, 2017. "Stability criterion of a multiserver model with simultaneous service," Annals of Operations Research, Springer, vol. 252(1), pages 29-39, May.
- Weina Wang & Mor Harchol-Balter & Haotian Jiang & Alan Scheller-Wolf & R. Srikant, 2019. "Delay asymptotics and bounds for multitask parallel jobs," Queueing Systems: Theory and Applications, Springer, vol. 91(3), pages 207-239, April.
- L. G. Afanaseva & S. A. Grishunina, 2020. "Stability conditions for a multiserver queueing system with a regenerative input flow and simultaneous service of a customer by a random number of servers," Queueing Systems: Theory and Applications, Springer, vol. 94(3), pages 213-241, April.
- Kristen Gardner & Mor Harchol-Balter & Alan Scheller-Wolf & Mark Velednitsky & Samuel Zbarsky, 2017. "Redundancy-d: The Power of d Choices for Redundancy," Operations Research, INFORMS, vol. 65(4), pages 1078-1094, August.
- Bezalel Gavish & Paul J. Schweitzer, 1977. "The Markovian Queue with Bounded Waiting time," Management Science, INFORMS, vol. 23(12), pages 1349-1357, August.
- Larisa Afanaseva & Elena Bashtova & Svetlana Grishunina, 2020. "Stability Analysis of a Multi-server Model with Simultaneous Service and a Regenerative Input Flow," Methodology and Computing in Applied Probability, Springer, vol. 22(4), pages 1439-1455, December.
- Percy H. Brill & Linda Green, 1984. "Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach," Management Science, INFORMS, vol. 30(1), pages 51-68, January.
- Syed Hamid Hussain Madni & Muhammad Shafie Abd Latiff & Mohammed Abdullahi & Shafi’i Muhammad Abdulhamid & Mohammed Joda Usman, 2017. "Performance comparison of heuristic algorithms for task scheduling in IaaS cloud computing environment," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-26, May.
- Ward Whitt, 1992. "Understanding the Efficiency of Multi-Server Service Systems," Management Science, INFORMS, vol. 38(5), pages 708-723, May.
- Joseph Abate & Ward Whitt, 2006. "A Unified Framework for Numerically Inverting Laplace Transforms," INFORMS Journal on Computing, INFORMS, vol. 18(4), pages 408-421, November.
- Linus E. Schrage & Louis W. Miller, 1966. "The Queue M / G /1 with the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 14(4), pages 670-684, August.
- Youri Raaijmakers & Sem Borst & Onno Boxma, 2019. "Redundancy scheduling with scaled Bernoulli service requirements," Queueing Systems: Theory and Applications, Springer, vol. 93(1), pages 67-82, October.
- Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
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Cited by:
- Youri Raaijmakers & Sem Borst & Onno Boxma, 2023. "Fork–join and redundancy systems with heavy-tailed job sizes," Queueing Systems: Theory and Applications, Springer, vol. 103(1), pages 131-159, February.
- Samuli Aalto & Ziv Scully, 2023. "Minimizing the mean slowdown in the M/G/1 queue," Queueing Systems: Theory and Applications, Springer, vol. 104(3), pages 187-210, August.
- Neil Walton, 2022. "Queueing: a perennial theory," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 557-559, April.
- Rein Vesilo, 2024. "Core allocation to minimize total flow time in a multicore system in the presence of a processing time constraint," Queueing Systems: Theory and Applications, Springer, vol. 108(3), pages 475-577, December.
- Alexander Dudin & Sergei Dudin & Olga Dudina, 2023. "Analysis of a Queueing System with Mixed Service Discipline," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-19, June.
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Keywords
Cloud computing; Tail probabilities; Speedup curve; Parallel scheduling; Multi-core; Heavy tails;All these keywords.
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