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Volumn 10, Issue 4, 2000, Pages 1065-1083

Asymptotic optimality of tracking policies in stochastic networks

Author keywords

Fluid model; Markov decision process; Stochastic network; Stochastic orderings; Weak convergence

Indexed keywords


EID: 0034310135     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (46)

References (38)
  • 1
    • 0031272937 scopus 로고    scopus 로고
    • Analysis of simple algorithms for dynamic load balancing
    • ALANYALI, M. and HAJEK, B. (1998). Analysis of simple algorithms for dynamic load balancing. Math. Oper. Res. 22 840-871.
    • (1998) Math. Oper. Res. , vol.22 , pp. 840-871
    • Alanyali, M.1    Hajek, B.2
  • 2
    • 4344702563 scopus 로고
    • Performance evaluation of scheduling control of queueing networks: Fluid model heuristics
    • ATKINS, D. and CHEN, H. (1995). Performance evaluation of scheduling control of queueing networks: fluid model heuristics. Queueing Sys. 21 391-413.
    • (1995) Queueing Sys. , vol.21 , pp. 391-413
    • Atkins, D.1    Chen, H.2
  • 3
    • 0003110890 scopus 로고    scopus 로고
    • Optimal control of fluid limits of queueing networks and stochasticity corrections
    • (G. G. Yin and Q. Zhang, eds.) Amer. Math. Soc., Providence, RI
    • AVRAM F. (1997) Optimal control of fluid limits of queueing networks and stochasticity corrections. In Mathematics of Stochastic Manufacturing Systems. Lectures in Applied Mathematics (G. G. Yin and Q. Zhang, eds.) 33 1-36. Amer. Math. Soc., Providence, RI.
    • (1997) Mathematics of Stochastic Manufacturing Systems. Lectures in Applied Mathematics , vol.33 , pp. 1-36
    • Avram, F.1
  • 4
    • 0000215112 scopus 로고
    • Fluid models of sequencing problems in open queueing networks: An optimal control approach
    • (F. P. Kelly and R. J. Williams, eds.) Springer, New York
    • AVRAM F., BERTSIMAS, D. and RICARD, M. (1995). Fluid models of sequencing problems in open queueing networks: an optimal control approach. In Stochastic Networks (F. P. Kelly and R. J. Williams, eds.) 199-234. Springer, New York.
    • (1995) Stochastic Networks , pp. 199-234
    • Avram, F.1    Bertsimas, D.2    Ricard, M.3
  • 5
    • 0001664385 scopus 로고    scopus 로고
    • The advantage of small machines in a stochastic fluid production process
    • BÄUERLE, N. (1998). The advantage of small machines in a stochastic fluid production process. Math. Methods Oper. Res. 47 83-97.
    • (1998) Math. Methods Oper. Res. , vol.47 , pp. 83-97
    • Bäuerle, N.1
  • 6
    • 0034341891 scopus 로고    scopus 로고
    • Optimal control of single-server fluid networks
    • BÄUERLE, N. and RIEDER, U. (2000). Optimal control of single-server fluid networks. Queueing Systems 35 185-200.
    • (2000) Queueing Systems , vol.35 , pp. 185-200
    • Bäuerle, N.1    Rieder, U.2
  • 8
    • 0030544432 scopus 로고    scopus 로고
    • Convergence to equilibria for fluid models of FIFO queueing networks
    • BRAMSON, M. (1996). Convergence to equilibria for fluid models of FIFO queueing networks. Queueing Systems 22 5-45.
    • (1996) Queueing Systems , vol.22 , pp. 5-45
    • Bramson, M.1
  • 9
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks: Work-conserving disciplines
    • CHEN, H. (1995). Fluid approximations and stability of multiclass queueing networks: work-conserving disciplines. Ann. Appl. Probab. 5 637-665.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 637-665
    • Chen, H.1
  • 10
    • 0033245832 scopus 로고    scopus 로고
    • Value iteration and optimization of multiclass queueing networks
    • CHEN, R. R. and MEYN, S. (1998). Value iteration and optimization of multiclass queueing networks. Queueing Systems 32 65-97.
    • (1998) Queueing Systems , vol.32 , pp. 65-97
    • Chen, R.R.1    Meyn, S.2
  • 11
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • DAI, J. G. (1995). On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. Ann. Appl. Probab. 5 49-77.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 17
    • 0030270118 scopus 로고    scopus 로고
    • Fluctuation smoothing policies are stable for stochastic re-entrant lines
    • KUMAR, S. and KUMAR, P. R. (1996). Fluctuation smoothing policies are stable for stochastic re-entrant lines. J. Discrete Event Dynam. Sys. Theory Appl. 6 361-370.
    • (1996) J. Discrete Event Dynam. Sys. Theory Appl. , vol.6 , pp. 361-370
    • Kumar, S.1    Kumar, P.R.2
  • 18
    • 0025484857 scopus 로고
    • Numerical methods for stochastic control problems in continuous time
    • KUSHNER, H. J. (1990). Numerical methods for stochastic control problems in continuous time. SIAM J. Control Optim. 5 999-1048.
    • (1990) SIAM J. Control Optim. , vol.5 , pp. 999-1048
    • Kushner, H.J.1
  • 20
    • 0032154305 scopus 로고    scopus 로고
    • A new algorithm for state-constrained separated continuous linear programs
    • LUO, X. and BERTSIMAS, D. (1998). A new algorithm for state-constrained separated continuous linear programs. SIAM J. Control Optim. 37 177-210.
    • (1998) SIAM J. Control Optim. , vol.37 , pp. 177-210
    • Luo, X.1    Bertsimas, D.2
  • 22
    • 0033243593 scopus 로고    scopus 로고
    • Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies
    • MAGLARAS, C. (1999a). Dynamic scheduling in multiclass queueing networks: stability under discrete-review policies. Queueing Systems 31 171-206.
    • (1999) Queueing Systems , vol.31 , pp. 171-206
    • Maglaras, C.1
  • 24
    • 0031344030 scopus 로고    scopus 로고
    • The policy iteration algorithm for average reward markov decision processes with general state space
    • MEYN, S. P. (1997a). The policy iteration algorithm for average reward Markov decision processes with general state space. IEEE Trans. Automat. Control 42 1663-1679.
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 1663-1679
    • Meyn, S.P.1
  • 25
    • 0001633213 scopus 로고    scopus 로고
    • Stability and optimization of queueing networks and their fluid models
    • (G. G. Yin and Q. Zhang, eds.) Amer. Math. Soc., Providence, RI
    • MEYN, S. P. (1997b). Stability and optimization of queueing networks and their fluid models. In Mathematics of Stochastic Manufacturing Systems. Lectures in Applied Mathematics (G. G. Yin and Q. Zhang, eds.) 33 175-199. Amer. Math. Soc., Providence, RI.
    • (1997) Mathematics of Stochastic Manufacturing Systems. Lectures in Applied Mathematics , vol.33 , pp. 175-199
    • Meyn, S.P.1
  • 27
    • 0000380502 scopus 로고
    • Forms of optimal solutions for separated continuous linear programs
    • PULLAN, M. C. (1995). Forms of optimal solutions for separated continuous linear programs. SIAM J. Control Optim. 33 1952-1977.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1952-1977
    • Pullan, M.C.1
  • 28
    • 0016519255 scopus 로고
    • Bayesian dynamic programming
    • RIEDER, U. (1975). Bayesian dynamic programming. Adv. in Appl. Probab. 7 330-348.
    • (1975) Adv. in Appl. Probab. , vol.7 , pp. 330-348
    • Rieder, U.1
  • 29
    • 0000334914 scopus 로고
    • Ergodicity of stochastic processes describing the operation of open queueing networks
    • RYBKO, A. N. and STOLYAR, A. L. (1992). Ergodicity of stochastic processes describing the operation of open queueing networks. Problems Inform. Transmission 28 199-220.
    • (1992) Problems Inform. Transmission , vol.28 , pp. 199-220
    • Rybko, A.N.1    Stolyar, A.L.2
  • 33
    • 21144467406 scopus 로고
    • A survey of Markov decision models for control of networks of queues
    • STIDHAM, S. and WEBER, R. (1993). A survey of Markov decision models for control of networks of queues. Queueing Systems 13 291-314.
    • (1993) Queueing Systems , vol.13 , pp. 291-314
    • Stidham, S.1    Weber, R.2
  • 35
    • 0001899369 scopus 로고
    • On optimal draining of re-entrant fluid lines
    • (F. P. Kelly and R. J. Williams, eds.) Springer, New York
    • WEISS, G. (1995). On optimal draining of re-entrant fluid lines. In Stochastic Networks (F. P. Kelly and R. J. Williams, eds.) 91-103. Springer, New York.
    • (1995) Stochastic Networks , pp. 91-103
    • Weiss, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.