메뉴 건너뛰기




Volumn 15, Issue 3, 2005, Pages 1887-1935

A large deviations approach to asymptotically optimal control of crisscross network in heavy traffic

Author keywords

Asymptotic optimality; Brownian control problem; Control of queuing networks; Crisscross network; Heavy traffic; Large deviations

Indexed keywords


EID: 24944484248     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051605000000250     Document Type: Review
Times cited : (27)

References (16)
  • 1
    • 0035413555 scopus 로고    scopus 로고
    • Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy
    • BELL, S. L. and WILLIAMS, R. J. (2001). Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy. Ann. Appl. Probab. 11 608-649.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 608-649
    • Bell, S.L.1    Williams, R.J.2
  • 4
    • 0032147993 scopus 로고    scopus 로고
    • Heavy traffic analysis of a system with parallel servers: Asymptotic optimality of discrete review policies
    • HARRISON, J. M. (1998). Heavy traffic analysis of a system with parallel servers: Asymptotic optimality of discrete review policies. Ann. Appl. Probab. 8 822-848.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 822-848
    • Harrison, J.M.1
  • 5
    • 0034344279 scopus 로고    scopus 로고
    • Brownian models of open processing networks: Canonical representation of workload
    • [Correction (2003) Ann. Appl. Probab. 13 390-393.]
    • HARRISON, J. M. (2000). Brownian models of open processing networks: Canonical representation of workload. Ann. Appl. Probab. 10 75-103. [Correction (2003) Ann. Appl. Probab. 13 390-393.]
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 75-103
    • Harrison, J.M.1
  • 6
    • 0031484861 scopus 로고    scopus 로고
    • Dynamic control of Brownian networks: State space collapse and equivalent workload formulation
    • HARRISON, J. M. and MEIGHAM, J. A. (1997). Dynamic control of Brownian networks: State space collapse and equivalent workload formulation. Ann. Appl. Probab. 7 747-771.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 747-771
    • Harrison, J.M.1    Meigham, J.A.2
  • 7
    • 0001109907 scopus 로고
    • Scheduling network of queues: Heavy traffic analysis of a simple open network
    • HARRISON, J. M. and WEIN, L. (1989). Scheduling network of queues: Heavy traffic analysis of a simple open network. Queuing Syst. Theory Appl. 5 265-280.
    • (1989) Queuing Syst. Theory Appl. , vol.5 , pp. 265-280
    • Harrison, J.M.1    Wein, L.2
  • 8
    • 0034346726 scopus 로고    scopus 로고
    • Two-server closed networks in heavy traffic: Diffusion limits and asymptotic optimality
    • KUMAR, S. (2000). Two-server closed networks in heavy traffic: Diffusion limits and asymptotic optimality. Ann. Appl. Probab. 10 930-961.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 930-961
    • Kumar, S.1
  • 9
    • 0000660738 scopus 로고
    • Strong approximation theorems for density dependent Markov chains
    • KURTZ, T. G. (1978). Strong approximation theorems for density dependent Markov chains. Stochastic Process. Appl. 6 223-240.
    • (1978) Stochastic Process. Appl. , vol.6 , pp. 223-240
    • Kurtz, T.G.1
  • 10
    • 0030241171 scopus 로고    scopus 로고
    • Heavy traffic analysis of a controlled multiclass queuing network via weak convergence methods
    • KUSHNER, H. J. and MARTINS, L. F. (1996). Heavy traffic analysis of a controlled multiclass queuing network via weak convergence methods. SIAM J. Control Optim. 34 1781-1797.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1781-1797
    • Kushner, H.J.1    Martins, L.F.2
  • 11
    • 0030291550 scopus 로고    scopus 로고
    • Heavy traffic convergence of a controlled multiclass queuing system
    • MARTINS, L. F., SHREVE, S. E. and SONER, H. M. (1996). Heavy traffic convergence of a controlled multiclass queuing system. SIAM J. Control Optim. 34 2133-2171.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 2133-2171
    • Martins, L.F.1    Shreve, S.E.2    Soner, H.M.3
  • 12
    • 1542342703 scopus 로고    scopus 로고
    • Sequencing and routing in multiclass queueing networks. Part II: Workload relaxations
    • MEYN, S. P. (2003). Sequencing and routing in multiclass queueing networks. Part II: Workload relaxations. SIAM J. Control Optim. 42 178-217.
    • (2003) SIAM J. Control Optim. , vol.42 , pp. 178-217
    • Meyn, S.P.1
  • 13
    • 0035540269 scopus 로고    scopus 로고
    • A multiclass queue in heavy traffic with throughput time constraints: Asymptotically optimal dynamic controls
    • PLAMBECK, E., KUMAR, S. and HARRISON, J.M. (2001). A multiclass queue in heavy traffic with throughput time constraints: Asymptotically optimal dynamic controls. Queueing Syst. Theory Appl. 39 23-54.
    • (2001) Queueing Syst. Theory Appl. , vol.39 , pp. 23-54
    • Plambeck, E.1    Kumar, S.2    Harrison, J.M.3
  • 14
    • 11244255363 scopus 로고
    • Large deviation analysis of the single server queue
    • PUHALSKII, A. (1995). Large deviation analysis of the single server queue. Queueing Syst. 21 5-66.
    • (1995) Queueing Syst. , vol.21 , pp. 5-66
    • Puhalskii, A.1
  • 16
    • 32144455366 scopus 로고
    • Control and scheduling in a two-station queueing network
    • YANG, P., CHEN, H. and YAO, D. (1994). Control and scheduling in a two-station queueing network. Queueing Syst. Theory Appl. 18 34.
    • (1994) Queueing Syst. Theory Appl. , vol.18 , pp. 34
    • Yang, P.1    Chen, H.2    Yao, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.