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Volumn 29, Issue 1, 1998, Pages 55-73

On the stability of a partially accessible multi-station queue with state-dependent routing

Author keywords

Customer class; Fluid limit; Markov chain; Multi server queue; Stability; State dependent routing

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MARKOV CHAINS; QUEUEING THEORY; SALES;

EID: 0032340651     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1019175812444     Document Type: Article
Times cited : (78)

References (14)
  • 2
    • 0000658047 scopus 로고
    • Discrete flow networks: Bottleneck analysis and fluid approximations, math
    • H. Chen and A. Mandelbaum, Discrete flow networks: bottleneck analysis and fluid approximations, Math. Oper. Res. 16 (1991) 408-446.
    • (1991) Oper. Res. , vol.16 , pp. 408-446
    • Chen, H.1    Mandelbaum, A.2
  • 3
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks I: Work-conserving disciplines
    • H. Chen, Fluid approximations and stability of multiclass queueing networks I: work-conserving disciplines, Ann. Appl. Probab. 5 (1995) 637-665.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 637-665
    • Chen, H.1
  • 4
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid models
    • J.G. Dai, On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid models, Ann. Appl. Probab. 5 (1995) 49-77.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 5
    • 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
  • 6
    • 0029404157 scopus 로고
    • Stability and convergence of moments for multiclass queueing networks via fluid limit models
    • J.G. Dai and S.P. Meyn, Stability and convergence of moments for multiclass queueing networks via fluid limit models, IEEE Trans. Automat. Control 40 (1995) 1889-1904.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1889-1904
    • Dai, J.G.1    Meyn, S.P.2
  • 7
    • 84872990055 scopus 로고
    • The convergence of queueing processes in structurally complex systems with losses to stationary processes
    • G.I. Falin, The convergence of queueing processes in structurally complex systems with losses to stationary processes, Teor. Veroyatnost. i Primenen. 32 (1987) 577-580.
    • (1987) Teor. Veroyatnost. i Primenen. , vol.32 , pp. 577-580
    • Falin, G.I.1
  • 8
    • 0026243250 scopus 로고
    • On the ergodicity of multichannel not fully accessible communication systems
    • S.G. Foss and N.I. Chernova, On the ergodicity of multichannel not fully accessible communication systems, Problems Inform. Transmission 27 (1991) 94-99.
    • (1991) Problems Inform. Transmission , vol.27 , pp. 94-99
    • Foss, S.G.1    Chernova, N.I.2
  • 9
    • 0040950680 scopus 로고    scopus 로고
    • Stability of multiclass Jackson-type networks
    • S.G. Foss and A.N. Rybko, Stability of multiclass Jackson-type networks, Markov Proc. Rel. Fields 2 (1996) 261-286.
    • (1996) Markov Proc. Rel. Fields , vol.2 , pp. 261-286
    • Foss, S.G.1    Rybko, A.N.2
  • 10
    • 0021788718 scopus 로고
    • A queueing system with general-use and limited-use servers
    • L. Green, A queueing system with general-use and limited-use servers, Oper. Res. 33 (1985) 168-182.
    • (1985) Oper. Res. , vol.33 , pp. 168-182
    • Green, L.1
  • 11
    • 34249921024 scopus 로고
    • Optimality of routing and servicing in dependent parallel processing systems
    • R. Menich and R.F. Serfozo, Optimality of routing and servicing in dependent parallel processing systems, Queueing Systems 9 (1991) 403-418.
    • (1991) Queueing Systems , vol.9 , pp. 403-418
    • Menich, R.1    Serfozo, R.F.2
  • 12
    • 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
  • 13
    • 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 Proc. Rel. Fields 1 (1995) 491-512.
    • (1995) Markov Proc. Rel. Fields , vol.1 , pp. 491-512
    • Stolyar, A.L.1
  • 14
    • 84872986223 scopus 로고    scopus 로고
    • Performance analysis of parallel machines with a generalized shortest queue arrival mechanism
    • Working paper LPOM-97-6, Faculty of Mechanical Engineering, University of Twente, The Netherlands submitted
    • G.J. van Houtum, I.J.B.F. Adan, J. Wessels and W.H.M. Zijm, Performance analysis of parallel machines with a generalized shortest queue arrival mechanism, Working paper LPOM-97-6, Faculty of Mechanical Engineering, University of Twente, The Netherlands (1997); Ann. Oper. Res., submitted.
    • (1997) Ann. Oper. Res.
    • Van Houtum, G.J.1    Adan, I.J.B.F.2    Wessels, J.3    Zijm, W.H.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.