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Volumn 21, Issue 1, 1996, Pages 115-134

Stability and instability of fluid models for reentrant lines

Author keywords

Fluid models; Harris recurrence; Multiclass queueing networks; Piecewise linear Lyapunoc functions; Reentrant lines; Scheduling policies; Stability; Unstable networks

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; QUEUEING THEORY; RANDOM PROCESSES; SCHEDULING; STABILITY;

EID: 0030086281     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.21.1.115     Document Type: Article
Times cited : (138)

References (33)
  • 2
    • 0016495143 scopus 로고
    • Open, closed and mixed networks of queues with different classes of customers
    • Baskett, F., K. M. Chandy, R. R. Muntz and F. G. Palacios (1975). Open, closed and mixed networks of queues with different classes of customers. J. ACM 22 248-260.
    • (1975) J. ACM , vol.22 , pp. 248-260
    • Baskett, F.1    Chandy, K.M.2    Muntz, R.R.3    Palacios, F.G.4
  • 5
    • 0000536278 scopus 로고
    • Instability of FIFO queueing networks
    • Bramson, M. (1994). Instability of FIFO queueing networks. Annals of Applied Probability 4 414-431.
    • (1994) Annals of Applied Probability , vol.4 , pp. 414-431
    • Bramson, M.1
  • 6
  • 7
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks I: Work-conserving disciplines
    • to appear
    • Chen, H. (1995). Fluid approximations and stability of multiclass queueing networks I: Work-conserving disciplines. Annals of Applied Probability (to appear).
    • (1995) Annals of Applied Probability
    • Chen, H.1
  • 8
    • 0025994959 scopus 로고
    • A calculus for network delay, part II: Network analysis
    • Cruz, R. L. (1991). A calculus for network delay, part II: network analysis. IEEE Transactions of Information Theory 37 132-141.
    • (1991) IEEE Transactions of Information Theory , vol.37 , pp. 132-141
    • Cruz, R.L.1
  • 9
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid models
    • Dai, J. G. (1995). On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid models. Annals of Applied Probability 5 49-77.
    • (1995) Annals of Applied Probability , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 12
    • 0003124563 scopus 로고
    • Nonexistence of Brownian models of certain multiclass queueing networks
    • _ and Y. Wang (1993). Nonexistence of Brownian models of certain multiclass queueing networks. Queueing Systems: Theory and Applications 13 41-46.
    • (1993) Queueing Systems: Theory and Applications , vol.13 , pp. 41-46
    • Wang, Y.1
  • 17
    • 0000637360 scopus 로고
    • Networks of waiting lines
    • Jackson, J. R. (1957). Networks of waiting lines. Oper. Res. 5 518-521.
    • (1957) Oper. Res. , vol.5 , pp. 518-521
    • Jackson, J.R.1
  • 20
    • 85033871205 scopus 로고
    • Duality and linear programs for stability and performance analysis of queueing networks and scheduling policies
    • to appear
    • _ and S. Meyn (1995a). Duality and linear programs for stability and performance analysis of queueing networks and scheduling policies. IEEE Transactions on Automatic Control (to appear).
    • (1995) IEEE Transactions on Automatic Control
    • Meyn, S.1
  • 21
    • 0029250558 scopus 로고
    • Stability of queueing networks and scheduling policies
    • _ and _ (1995b). Stability of queueing networks and scheduling policies. IEEE Transactions on Automatic Control 40 251-260.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , pp. 251-260
  • 22
    • 0025401166 scopus 로고
    • Dynamic instabilities and stabilization methods in distributed read-time scheduling of manufacturing systems
    • _ and T. I. Seidman (1990). Dynamic instabilities and stabilization methods in distributed read-time scheduling of manufacturing systems. IEEE Transactions on Automatic Control AC-35 289-298.
    • (1990) IEEE Transactions on Automatic Control , vol.AC-35 , pp. 289-298
    • Seidman, T.I.1
  • 24
    • 0026369803 scopus 로고
    • Distributed scheduling based on due dates and buffer priorities
    • Lu, S. H. and P. R. Kumar (1991). Distributed scheduling based on due dates and buffer priorities. IEEE Transactions on Automatic Control 36 1406-1416.
    • (1991) IEEE Transactions on Automatic Control , vol.36 , pp. 1406-1416
    • Lu, S.H.1    Kumar, P.R.2
  • 25
    • 0001695753 scopus 로고
    • Stability of generalized Jackson networks
    • Meyn, S. P. and D. Down (1994). Stability of generalized Jackson networks. Annals of Applied Probability 4 124-148.
    • (1994) Annals of Applied Probability , vol.4 , pp. 124-148
    • Meyn, S.P.1    Down, D.2
  • 26
    • 0000684659 scopus 로고
    • Stability of Markovian processes II: Continuous time processes and sample chains
    • _ and R. L. Tweedie (1993). Stability of Markovian processes II: Continuous time processes and sample chains. Adv. Appl. Probab. 25 487-517.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 487-517
    • Tweedie, R.L.1
  • 27
    • 0000334914 scopus 로고
    • Ergodicity of stochastic processes describing the operation of open queueing networks
    • Rybko, A. N. and A. L. Stolyar (1992). Ergodicity of stochastic processes describing the operation of open queueing networks. Problems of Information Transmission 28 199-220.
    • (1992) Problems of Information Transmission , vol.28 , pp. 199-220
    • Rybko, A.N.1    Stolyar, A.L.2
  • 28
  • 29
    • 38249019374 scopus 로고
    • The stability of open queueing networks
    • Sigman, K. (1990). The stability of open queueing networks. Stock. Proc. Applns. 35 11-25.
    • (1990) Stock. Proc. Applns. , vol.35 , pp. 11-25
    • Sigman, K.1
  • 32
    • 85033840129 scopus 로고
    • Private communications
    • Wang, Y. (1993). Private communications.
    • (1993)
    • Wang, Y.1
  • 33
    • 0027644551 scopus 로고
    • Large fluctuations in a deterministic multiclass network of queues
    • Whitt, W. (1993). Large fluctuations in a deterministic multiclass network of queues. Management Sci. 39 1020-1028.
    • (1993) Management Sci. , vol.39 , pp. 1020-1028
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.