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Volumn 32, Issue 4, 2007, Pages 808-820

Workload interpretation for brownian models of stochastic processing networks

Author keywords

Brownian network model; Dual problem; Reversible displacements; Singular control; State space collapse; Stochastic control; Stochastic processing network; Workload

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; SET THEORY;

EID: 38549107135     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1070.0271     Document Type: Article
Times cited : (6)

References (10)
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  • 3
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    • W. Fleming, P. L. Lions, eds, Springer Verlag, New York
    • Harrison, J. M. 1988. Brownian models of queueing networks with heterogeneous customer populations. W. Fleming, P. L. Lions, eds. Stochastic Differential Systems, Stochastic Control Theory and Their Applications, IMA, Vol. 10. Springer Verlag, New York, 147-186.
    • (1988) Stochastic Differential Systems, Stochastic Control Theory and Their Applications, IMA , vol.10 , pp. 147-186
    • Harrison, J.M.1
  • 4
    • 0034344279 scopus 로고    scopus 로고
    • Brownian models of open processing networks: Canonical representation of workload
    • Correction: 13 390-393
    • Harrison, J. M. 2000. Brownian models of open processing networks: Canonical representation of workload. Ann. Appl. Probab. 10 75-103. Correction: 13 2003 390-393.
    • (2000) Ann. Appl. Probab , vol.10 , pp. 75-103
    • Harrison, J.M.1
  • 6
    • 0141510438 scopus 로고    scopus 로고
    • A broader view of Brownian networks
    • Harrison, J. M. 2003. A broader view of Brownian networks. Ann. Appl. Probab. 13 1119-1150.
    • (2003) Ann. Appl. Probab , vol.13 , pp. 1119-1150
    • Harrison, J.M.1
  • 7
    • 0031484861 scopus 로고    scopus 로고
    • Dynamic control of Brownian networks: State space collapse and equivalent workload formulations
    • Harrison, J. M., J. A. Van Mieghem. 1997. Dynamic control of Brownian networks: State space collapse and equivalent workload formulations. Ann. Appl. Probab. 7 747-771.
    • (1997) Ann. Appl. Probab , vol.7 , pp. 747-771
    • Harrison, J.M.1    Van Mieghem, J.A.2
  • 8
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    • Workload reduction of a generalized Brownian network
    • Harrison, J. M., R. J. Williams. 2005. Workload reduction of a generalized Brownian network. Ann. Appl. Probab. 15 2255-2295.
    • (2005) Ann. Appl. Probab , vol.15 , pp. 2255-2295
    • Harrison, J.M.1    Williams, R.J.2
  • 9
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    • Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling
    • Kelly, F. P., N. Laws. 1993. Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling. Queueing Systems 13 47-86.
    • (1993) Queueing Systems , vol.13 , pp. 47-86
    • Kelly, F.P.1    Laws, N.2
  • 10
    • 0019581187 scopus 로고
    • Capacity planning with a stochastic workflow model
    • Solberg, J. J. 1981. Capacity planning with a stochastic workflow model. AIIE Trans. 13 116-122.
    • (1981) AIIE Trans , vol.13 , pp. 116-122
    • Solberg, J.J.1


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