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The achievable region method in the optimal control of queueing systems : formulations, bounds and policies

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  • Bertsimas, Dimitris.

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  • Bertsimas, Dimitris., 1995. "The achievable region method in the optimal control of queueing systems : formulations, bounds and policies," Working papers 3837-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    • Handle: RePEc:mit:sloanp:2586
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    File URL: http://hdl.handle.net/1721.1/2586
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    1. Michael H. Rothkopf, 1966. "Scheduling with Random Service Times," Management Science, INFORMS, vol. 12(9), pages 707-713, May.
    2. Leonard Kleinrock & Hanoch Levy, 1988. "The Analysis of Random Polling Systems," Operations Research, INFORMS, vol. 36(5), pages 716-732, October.
    3. Dong-Wan Tcha & Stanley R. Pliska, 1977. "Optimal Control of Single-Server Queuing Networks and Multi-Class M / G /1 Queues with Feedback," Operations Research, INFORMS, vol. 25(2), pages 248-258, April.
    4. A. Federgruen & H. Groenevelt, 1988. "M/G/c Queueing Systems with Multiple Customer Classes: Characterization and Control of Achievable Performance Under Nonpreemptive Priority Rules," Management Science, INFORMS, vol. 34(9), pages 1121-1138, September.
    5. K. D. Glazebrook, 1987. "Sensitivity Analysis for Stochastic Scheduling Problems," Mathematics of Operations Research, INFORMS, vol. 12(2), pages 205-223, May.
    6. E. G. Coffman & I. Mitrani, 1980. "A Characterization of Waiting Time Performance Realizable by Single-Server Queues," Operations Research, INFORMS, vol. 28(3-part-ii), pages 810-821, June.
    7. Michael H. Rothkopf, 1966. "Scheduling Independent Tasks on Parallel Processors," Management Science, INFORMS, vol. 12(5), pages 437-447, January.
    8. Meilijson, Isaac & Weiss, Gideon, 1977. "Multiple feedback at a single-server station," Stochastic Processes and their Applications, Elsevier, vol. 5(2), pages 195-205, May.
    9. F. P. Kelly, 1994. "Bounds on the Performance of Dynamic Routing Schemes for Highly Connected Networks," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 1-20, February.
    10. J. George Shanthikumar & David D. Yao, 1992. "Multiclass Queueing Systems: Polymatroidal Structure and Optimal Scheduling Control," Operations Research, INFORMS, vol. 40(3-supplem), pages 293-299, June.
    11. Bertsimas, Dimitris. & Niño-Mora, Jose., 1994. "Restless bandit, linear programming relaxations and a primal-dual heuristic," Working papers 3727-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
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    Cited by:

    1. Huiyin Ouyang & Nilay Taník Argon & Serhan Ziya, 2022. "Assigning Priorities (or Not) in Service Systems with Nonlinear Waiting Costs," Management Science, INFORMS, vol. 68(2), pages 1233-1255, February.
    2. Marcus Dacre & Kevin Glazebrook & José Niño-Mora, 1998. "The achievable region approach to the optimal control of stochastic systems," Economics Working Papers 306, Department of Economics and Business, Universitat Pompeu Fabra.
    3. Dimitris Bertsimas & José Niño-Mora, 1996. "Optimization of multiclass queueing networks with changeover times via the achievable region method: Part II, the multi-station case," Economics Working Papers 314, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 1998.
    4. Dimitris Bertsimas & José Niño-Mora, 1996. "Optimization of multiclass queueing networks with changeover times via the achievable region approach: Part I, the single-station case," Economics Working Papers 302, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 1998.
    5. Dimitris Bertsimas & José Niño-Mora, 1999. "Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Approach: Part II, The Multi-Station Case," Mathematics of Operations Research, INFORMS, vol. 24(2), pages 331-361, May.
    6. Dimitris Bertsimas & Velibor V. Mišić, 2016. "Decomposable Markov Decision Processes: A Fluid Optimization Approach," Operations Research, INFORMS, vol. 64(6), pages 1537-1555, December.
    7. Baris Ata & Yichuan Ding & Stefanos Zenios, 2021. "An Achievable-Region-Based Approach for Kidney Allocation Policy Design with Endogenous Patient Choice," Manufacturing & Service Operations Management, INFORMS, vol. 23(1), pages 36-54, 1-2.

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    HD28 .M414 no.3837-95;

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