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Volumn 31, Issue 3-4, 1999, Pages 171-206

Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies

Author keywords

Discrete review policies; Fluid models; Open multiclass queueing networks; Scheduling; Stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; QUEUEING THEORY; SCHEDULING;

EID: 0033243593     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019106213778     Document Type: Article
Times cited : (36)

References (39)
  • 1
    • 0000909913 scopus 로고
    • Scheduling and stability aspects of a general class of parallel processing systems
    • N. Bambos and J. Walrand, Scheduling and stability aspects of a general class of parallel processing systems, Adv. in Appl. Probab. 25 (1993) 176-202.
    • (1993) Adv. in Appl. Probab. , vol.25 , pp. 176-202
    • Bambos, N.1    Walrand, J.2
  • 2
  • 3
    • 0003040355 scopus 로고
    • A stochastic and dynamic vehicle routing problem in the Euclidean plane
    • D. Bertsimas and G. Van Ryzin, A stochastic and dynamic vehicle routing problem in the Euclidean plane, Oper. Res. 39(4) (1991) 601-615.
    • (1991) Oper. Res. , vol.39 , Issue.4 , pp. 601-615
    • Bertsimas, D.1    Van Ryzin, G.2
  • 4
    • 0000536278 scopus 로고
    • Instability of FIFO queueing networks
    • M. Bramson, Instability of FIFO queueing networks, Ann. Appl. Probab. 4(2) (1994) 414-431.
    • (1994) Ann. Appl. Probab. , vol.4 , Issue.2 , pp. 414-431
    • Bramson, M.1
  • 5
    • 0032366207 scopus 로고    scopus 로고
    • Stability of two families of queueing networks and a discussion of fluid limits
    • to appear
    • M. Bramson, Stability of two families of queueing networks and a discussion of fluid limits, Queueing Systems (1998) to appear.
    • (1998) Queueing Systems
    • Bramson, M.1
  • 6
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks: Work-conserving policies
    • H. Chen, Fluid approximations and stability of multiclass queueing networks: work-conserving policies, Ann. Appl. Probab. 5 (1995) 637-655.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 637-655
    • Chen, H.1
  • 7
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • J.G. Dai, On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models, Ann. Appl. Probab. 5 (1995) 49-77.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 8
    • 0003098826 scopus 로고
    • Stability of open multiclass queueing networks via fluid models
    • eds. F. Kelly and R. Williams, Proceedings of the IMA, Springer, New York
    • J.G. Dai, Stability of open multiclass queueing networks via fluid models, in: Stochastic Networks, eds. F. Kelly and R. Williams, Proceedings of the IMA, Vol. 71 (Springer, New York, 1995) pp. 71-90.
    • (1995) Stochastic Networks , vol.71 , pp. 71-90
    • Dai, J.G.1
  • 9
    • 0030506542 scopus 로고    scopus 로고
    • A fluid limit model criterion for instability of multiclass queueing networks
    • J.G. Dai, A fluid limit model criterion for instability of multiclass queueing networks, Ann. Appl. Probab. 6 (1996) 751-757.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 751-757
    • Dai, J.G.1
  • 10
    • 0029404157 scopus 로고
    • Stability and convergence of moments for multiclass queueing networks via fluid limit models
    • J.G. Dai and S. Meyn, Stability and convergence of moments for multiclass queueing networks via fluid limit models, IEEE Trans. Automat. Control 40(11) (1995) 1889-1904.
    • (1995) IEEE Trans. Automat. Control , vol.40 , Issue.11 , pp. 1889-1904
    • Dai, J.G.1    Meyn, S.2
  • 11
    • 0030086281 scopus 로고    scopus 로고
    • Stability and instability of fluid models for certain re-entrant lines
    • J.G. Dai and G. Weiss, Stability and instability of fluid models for certain re-entrant lines, Math. Oper. Res. 21 (1996) 115-134.
    • (1996) Math. Oper. Res. , vol.21 , pp. 115-134
    • Dai, J.G.1    Weiss, G.2
  • 12
    • 0002611604 scopus 로고
    • Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons
    • (in Russian). To appear in the SIAM translation of the journal with the same name
    • J.G. Dai and R.J. Williams, Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons, Theory Probab. Appl. 40 (1994) 3-53 (in Russian). To appear in the SIAM translation of the journal with the same name.
    • (1994) Theory Probab. Appl. , vol.40 , pp. 3-53
    • Dai, J.G.1    Williams, R.J.2
  • 13
    • 0000816682 scopus 로고
    • Piecewise-deterministic Markov processes: A general class of nondiffusion stochastic models
    • M.H.A. Davis, Piecewise-deterministic Markov processes: A general class of nondiffusion stochastic models, J. Roy. Statist. Soc. Ser. B 46(3) (1984) 353-388.
    • (1984) J. Roy. Statist. Soc. Ser. B , vol.46 , Issue.3 , pp. 353-388
    • Davis, M.H.A.1
  • 15
    • 21844487671 scopus 로고
    • Approximating queue size and workload distributions in general polling systems
    • A. Federgruen and Z. Katalan, Approximating queue size and workload distributions in general polling systems, Queueing Systems 18 (1994) 353-386.
    • (1994) Queueing Systems , vol.18 , pp. 353-386
    • Federgruen, A.1    Katalan, Z.2
  • 16
    • 0031219709 scopus 로고    scopus 로고
    • Optimal control of a multiclass, flexible queueing system
    • N. Gans and G. Van Ryzin, Optimal control of a multiclass, flexible queueing system, Oper. Res. 45(5) (1997) 677-693.
    • (1997) Oper. Res. , vol.45 , Issue.5 , pp. 677-693
    • Gans, N.1    Van Ryzin, G.2
  • 17
    • 0000044386 scopus 로고
    • Brownian models of queueing networks with heterogeneous customer populations
    • eds. W. Fleming and P.L. Lions, Proceedings of the IMA, Springer, New York
    • J.M. Harrison, Brownian models of queueing networks with heterogeneous customer populations, in: Stochastic Differential Systems, Stochastic Control Theory and Applications, eds. W. Fleming and P.L. Lions, Proceedings of the IMA, Vol. 10 (Springer, New York, 1988) pp. 147-186.
    • (1988) Stochastic Differential Systems, Stochastic Control Theory and Applications , vol.10 , pp. 147-186
    • Harrison, J.M.1
  • 18
    • 0000625769 scopus 로고    scopus 로고
    • The BIGSTEP approach to flow management in stochastic processing networks
    • eds. F. Kelly, S. Zachary and I. Ziedins Oxford Univ. Press, Oxford
    • J.M. Harrison, The BIGSTEP approach to flow management in stochastic processing networks, in: Stochastic Networks: Theory and Applications, eds. F. Kelly, S. Zachary and I. Ziedins (Oxford Univ. Press, Oxford, 1996) pp. 57-90.
    • (1996) Stochastic Networks: Theory and Applications , pp. 57-90
    • Harrison, J.M.1
  • 19
    • 84873010991 scopus 로고    scopus 로고
    • Brownian models of open processing networks: Canonical representation of work-load
    • submitted
    • J.M. Harrison, Brownian models of open processing networks: Canonical representation of work-load, Ann. Appl. Probab. (1996) submitted.
    • (1996) Ann. Appl. Probab.
    • Harrison, J.M.1
  • 20
    • 0028336534 scopus 로고
    • A regulator stabilization technique: Kumar-Seidman revisited
    • C. Humes Jr., A regulator stabilization technique: Kumar-Seidman revisited, IEEE Trans. Automat. Control 39(1) (1994) 191-196.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.1 , pp. 191-196
    • Humes C., Jr.1
  • 21
    • 0032075277 scopus 로고    scopus 로고
    • Polling systems in heavy traffic: A Bessel process limit
    • E.G. Coffman Jr., A.A. Puhalskii and M.I. Reiman, Polling systems in heavy traffic: A Bessel process limit, Math. Oper. Res. 23(2) (1998) 257-304.
    • (1998) Math. Oper. Res. , vol.23 , Issue.2 , pp. 257-304
    • Coffman E.G., Jr.1    Puhalskii, A.A.2    Reiman, M.I.3
  • 22
    • 21144477219 scopus 로고
    • Re-entrant lines
    • P.R. Kumar, Re-entrant lines, Queueing Systems 13 (1993) 87-110.
    • (1993) Queueing Systems , vol.13 , pp. 87-110
    • Kumar, P.R.1
  • 23
    • 0029732538 scopus 로고    scopus 로고
    • Duality and linear programs for stability and performance analysis of queuing networks and scheduling policies
    • P.R. Kumar and S.P. Meyn, Duality and linear programs for stability and performance analysis of queuing networks and scheduling policies, IEEE Trans. Automat. Control 41(1) (1996) 4-17.
    • (1996) IEEE Trans. Automat. Control , vol.41 , Issue.1 , pp. 4-17
    • Kumar, P.R.1    Meyn, S.P.2
  • 24
    • 0025401166 scopus 로고
    • Dynamic instabilities and stabilization methods in distributed realtime scheduling of manufacturing systems
    • P.R. Kumar and T.I. Seidman, Dynamic instabilities and stabilization methods in distributed realtime scheduling of manufacturing systems, IEEE Trans. Automat. Control 35(3) (1990) 289-298.
    • (1990) IEEE Trans. Automat. Control , vol.35 , Issue.3 , pp. 289-298
    • Kumar, P.R.1    Seidman, T.I.2
  • 25
    • 0030270118 scopus 로고    scopus 로고
    • Fluctuation smoothing policies are stable for stochastic re-entrant lines
    • S. Kumar and P.R. Kumar, Fluctuation smoothing policies are stable for stochastic re-entrant lines, Discrete Event Dynamic Systems 6 (1996) 361-370.
    • (1996) Discrete Event Dynamic Systems , vol.6 , pp. 361-370
    • Kumar, S.1    Kumar, P.R.2
  • 27
    • 0026369803 scopus 로고
    • Distributed scheduling based on due dates and buffer priorities
    • S.H. Lu and P.R. Kumar, Distributed scheduling based on due dates and buffer priorities, IEEE Trans. Automat. Control 36(12) (1991) 1406-1416.
    • (1991) IEEE Trans. Automat. Control , vol.36 , Issue.12 , pp. 1406-1416
    • Lu, S.H.1    Kumar, P.R.2
  • 28
    • 84872993826 scopus 로고    scopus 로고
    • Discrete-review policies for scheduling stochastic networks: Trajectory tracking and fluid-scale asymptotic optimality
    • submitted
    • C. Maglaras, Discrete-review policies for scheduling stochastic networks: Trajectory tracking and fluid-scale asymptotic optimality, Ann. Appl. Probab. (1999) submitted.
    • (1999) Ann. Appl. Probab.
    • Maglaras, C.1
  • 30
    • 21344474295 scopus 로고
    • Transience of multiclass queueing networks via fluid limit models
    • S.P. Meyn, Transience of multiclass queueing networks via fluid limit models, Ann. Appl. Probab. 5 (1995) 946-957.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 946-957
    • Meyn, S.P.1
  • 31
    • 0028416433 scopus 로고
    • Distributed scheduling of flexible manufacturing systems: Stability and performance
    • J.R. Perkins, C. Humes Jr. and P.R. Kumar, Distributed scheduling of flexible manufacturing systems: Stability and performance, IEEE Trans. Robotics Automat. 10(2) (1994) 133-141.
    • (1994) IEEE Trans. Robotics Automat. , vol.10 , Issue.2 , pp. 133-141
    • Perkins, J.R.1    Humes C., Jr.2    Kumar, P.R.3
  • 32
    • 0000334914 scopus 로고
    • Ergodicity of stochastic processes describing the operations of open queueing networks
    • A.N. Rybko and A.L. Stolyar, Ergodicity of stochastic processes describing the operations of open queueing networks, Problems Inform. Transmission 28 (1992) 199-220.
    • (1992) Problems Inform. Transmission , vol.28 , pp. 199-220
    • Rybko, A.N.1    Stolyar, A.L.2
  • 35
    • 0001669393 scopus 로고
    • On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes
    • A.L. Stolyar, On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes, Markov Processes and Related Fields 1 (1995) 491-512.
    • (1995) Markov Processes and Related Fields , vol.1 , pp. 491-512
    • Stolyar, A.L.1
  • 36
    • 0002912162 scopus 로고
    • Queueing analysis of polling models: An update
    • ed. H. Takagi North-Holland, Amsterdam
    • H. Takagi, Queueing analysis of polling models: an update, in: Stochastic Analysis of Computer and Communication Systems, ed. H. Takagi (North-Holland, Amsterdam, 1990).
    • (1990) Stochastic Analysis of Computer and Communication Systems
    • Takagi, H.1
  • 37
    • 0029521064 scopus 로고
    • Optimal anticipative scheduling with asynchronous transmission oportunities
    • L. Tassiulas and S. Papavassiliou, Optimal anticipative scheduling with asynchronous transmission oportunities, IEEE Trans. Automat. Control 40(12) (1995) 2052-2062.
    • (1995) IEEE Trans. Automat. Control , vol.40 , Issue.12 , pp. 2052-2062
    • Tassiulas, L.1    Papavassiliou, S.2
  • 38
    • 0000834346 scopus 로고
    • Dynamic scheduling with convex delay costs: The generalized cμ rule
    • J.A. Van Mieghem, Dynamic scheduling with convex delay costs: The generalized cμ rule, Ann. Appl. Probab. 5 (1995) 809-833.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 809-833
    • Van Mieghem, J.A.1
  • 39
    • 0029358725 scopus 로고
    • An introduction to large deviations for communication networks
    • A. Weiss, An introduction to large deviations for communication networks, IEEE J. Selected Areas Commun. 13(6) (1995) 938-952.
    • (1995) IEEE J. Selected Areas Commun. , vol.13 , Issue.6 , pp. 938-952
    • Weiss, A.1


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