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Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline

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Cited by:

  1. Erhun Özkan & Amy R. Ward, 2019. "On the Control of Fork-Join Networks," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 532-564, May.
  2. Xiangtong Qi & Jonathan F. Bard & Gang Yu, 2004. "Class Scheduling for Pilot Training," Operations Research, INFORMS, vol. 52(1), pages 148-162, February.
  3. Nicole Megow & Tjark Vredeveld, 2014. "A Tight 2-Approximation for Preemptive Stochastic Scheduling," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1297-1310, November.
  4. Konstantin Avrachenkov & Patrick Brown & Natalia Osipova, 2009. "Optimal choice of threshold in Two Level Processor Sharing," Annals of Operations Research, Springer, vol. 170(1), pages 21-39, September.
  5. Samuli Aalto, 2006. "M/G/1/MLPS compared with M/G/1/PS within service time distribution class IMRL," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 309-325, October.
  6. Douglas G. Down & H. Christian Gromoll & Amber L. Puha, 2009. "Fluid Limits for Shortest Remaining Processing Time Queues," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 880-911, November.
  7. Megow, Nicole & Schulz, Andreas S., 2004. "Scheduling to Minimize Average Completion Time Revisited: Deterministic On-line Algorithms," Working papers 4435-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  8. Łukasz Kruk & Ewa Sokołowska, 2016. "Fluid Limits for Multiple-Input Shortest Remaining Processing Time Queues," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 1055-1092, August.
  9. Kis, Tamas & Pesch, Erwin, 2005. "A review of exact solution methods for the non-preemptive multiprocessor flowshop problem," European Journal of Operational Research, Elsevier, vol. 164(3), pages 592-608, August.
  10. Yuan, J.J. & Lin, Y.X. & Ng, C.T. & Cheng, T.C.E., 2007. "Approximability of single machine scheduling with fixed jobs to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 178(1), pages 46-56, April.
  11. Wu, Rong & Down, Douglas G., 2009. "Round robin scheduling of heterogeneous parallel servers in heavy traffic," European Journal of Operational Research, Elsevier, vol. 195(2), pages 372-380, June.
  12. Samuli Aalto & Ziv Scully, 2022. "On the Gittins index for multistage jobs," Queueing Systems: Theory and Applications, Springer, vol. 102(3), pages 353-371, December.
  13. Thomas Kittsteiner & Benny Moldovanu, 2005. "Priority Auctions and Queue Disciplines That Depend on Processing Time," Management Science, INFORMS, vol. 51(2), pages 236-248, February.
  14. Megow, N. & Vredeveld, T., 2009. "Approximating preemptive stochastic scheduling," Research Memorandum 054, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  15. Adam Wierman & Bert Zwart, 2012. "Is Tail-Optimal Scheduling Possible?," Operations Research, INFORMS, vol. 60(5), pages 1249-1257, October.
  16. Chengbin Chu, 1992. "A branch‐and‐bound algorithm to minimize total tardiness with different release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 265-283, March.
  17. Nikhil Bansal & Bart Kamphorst & Bert Zwart, 2018. "Achievable Performance of Blind Policies in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 949-964, August.
  18. 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.
  19. Samuli Aalto & Pasi Lassila & Prajwal Osti, 2016. "Whittle index approach to size-aware scheduling for time-varying channels with multiple states," Queueing Systems: Theory and Applications, Springer, vol. 83(3), pages 195-225, August.
  20. Samuli Aalto & Urtzi Ayesta, 2009. "SRPT applied to bandwidth-sharing networks," Annals of Operations Research, Springer, vol. 170(1), pages 3-19, September.
  21. Azizoglu, Meral & Cakmak, Ergin & Kondakci, Suna, 2001. "A flexible flowshop problem with total flow time minimization," European Journal of Operational Research, Elsevier, vol. 132(3), pages 528-538, August.
  22. Łukasz Kruk & Robert Gieroba, 2022. "Local edge minimality of SRPT networks with shared resources," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 96(3), pages 459-492, December.
  23. Hyytiä, Esa & Penttinen, Aleksi & Aalto, Samuli, 2012. "Size- and state-aware dispatching problem with queue-specific job sizes," European Journal of Operational Research, Elsevier, vol. 217(2), pages 357-370.
  24. Zeifman, A.I. & Razumchik, R.V. & Satin, Y.A. & Kovalev, I.A., 2021. "Ergodicity bounds for the Markovian queue with time-varying transition intensities, batch arrivals and one queue skipping policy," Applied Mathematics and Computation, Elsevier, vol. 395(C).
  25. Predrag Jelenković & Xiaozhu Kang & Jian Tan, 2009. "Heavy-tailed limits for medium size jobs and comparison scheduling," Annals of Operations Research, Springer, vol. 170(1), pages 133-159, September.
  26. Nilay Tanık Argon & Chao Deng & Vidyadhar G. Kulkarni, 2017. "Optimal control of a single server in a finite-population queueing network," Queueing Systems: Theory and Applications, Springer, vol. 85(1), pages 149-172, February.
  27. Luca Becchetti & Stefano Leonardi & Alberto Marchetti-Spaccamela & Guido Schäfer & Tjark Vredeveld, 2006. "Average-Case and Smoothed Competitive Analysis of the Multilevel Feedback Algorithm," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 85-108, February.
  28. Chen, Rubing & Yuan, Jinjiang & Ng, C.T. & Cheng, T.C.E., 2021. "Single-machine hierarchical scheduling with release dates and preemption to minimize the total completion time and a regular criterion," European Journal of Operational Research, Elsevier, vol. 293(1), pages 79-92.
  29. Yonatan Shadmi, 2022. "Fluid limits for shortest job first with aging," Queueing Systems: Theory and Applications, Springer, vol. 101(1), pages 93-112, June.
  30. Samuli Aalto, 2022. "Minimizing the mean slowdown in a single-server queue," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 373-375, April.
  31. Rouba Ibrahim, 2022. "Personalized scheduling in service systems," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 445-447, April.
  32. Jing Dong & Rouba Ibrahim, 2021. "SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers," Management Science, INFORMS, vol. 67(12), pages 7708-7718, December.
  33. Łukasz Kruk, 2017. "Edge minimality of EDF resource sharing networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 331-366, October.
  34. Łukasz Kruk, 2016. "Minimality of EDF networks with resource sharing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 259-283, October.
  35. Sitters, R.A., 2009. "Efficient algorithms for average completion time scheduling," Serie Research Memoranda 0058, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  36. Joseph Leung & Hairong Zhao, 2008. "Scheduling problems in master-slave model," Annals of Operations Research, Springer, vol. 159(1), pages 215-231, March.
  37. Mor Harchol-Balter, 2021. "Open problems in queueing theory inspired by datacenter computing," Queueing Systems: Theory and Applications, Springer, vol. 97(1), pages 3-37, February.
  38. Samuli Aalto & Urtzi Ayesta, 2008. "Recent sojourn time results for multilevel processor‐sharing scheduling disciplines," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(3), pages 266-282, August.
  39. Łukasz Kruk & Tymoteusz Chojecki, 2022. "Instability of SRPT, SERPT and SJF multiclass queueing networks," Queueing Systems: Theory and Applications, Springer, vol. 101(1), pages 57-92, June.
  40. Łukasz Kruk, 2022. "Heavy traffic analysis for single-server SRPT and LRPT queues via EDF diffusion limits," Annals of Operations Research, Springer, vol. 310(2), pages 411-429, March.
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