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Volumn 34, Issue 6, 1996, Pages 2133-2171

Heavy traffic convergence of a controlled, multiclass queueing system

Author keywords

Brownian networks; Heavy traffic; Queueing; Stochastic control; Viscosity solutions

Indexed keywords

BROWNIAN MOVEMENT; CONTROL; CONTROL THEORY; DIFFUSION; STOCHASTIC CONTROL SYSTEMS;

EID: 0030291550     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012994265882     Document Type: Article
Times cited : (35)

References (30)
  • 1
    • 0039291744 scopus 로고
    • Exit time problems in control and vanishing viscosity solutions of Hamilton-Jacobi-Bellman equations
    • G. BARLES AND B. PERTHAME (1988), Exit time problems in control and vanishing viscosity solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control Optim., 26, pp. 1113-1148.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1113-1148
    • Barles, G.1    Perthame, B.2
  • 4
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M. G. CRANDALL AND P.-L. LIONS (1984), Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277, pp. 1-43.
    • (1984) Trans. Amer. Math. Soc. , vol.277 , pp. 1-43
    • Crandall, M.G.1    Lions, P.-L.2
  • 5
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M. G. CRANDALL, L. C. EVANS, AND P.-L. LIONS (1984), Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 282, pp. 487-502.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.-L.3
  • 6
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M. G. CRANDALL, H. ISHII, AND P.-L. LIONS (1992), User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc., 27, pp. 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 7
    • 0000683318 scopus 로고
    • A multi-class station with Markovian feedback in heavy traffic
    • J. DAI AND T. KURTZ (1995), A multi-class station with Markovian feedback in heavy traffic, Math. Oper. Res., 20, pp. 721-742.
    • (1995) Math. Oper. Res. , vol.20 , pp. 721-742
    • Dai, J.1    Kurtz, T.2
  • 11
    • 6244303498 scopus 로고
    • Brownian models of queueing networks with heterogeneous customer populations
    • Stochastic Differential Systems, Stochastic Control Theory and Applications, P.-L. Lions and W. H. Fleming, eds., Springer-Verlag, New York
    • _ (1988), Brownian models of queueing networks with heterogeneous customer populations, in Stochastic Differential Systems, Stochastic Control Theory and Applications, IMA Vol. Math. Appl. 10, P.-L. Lions and W. H. Fleming, eds., Springer-Verlag, New York, pp. 265-280.
    • (1988) IMA Vol. Math. Appl. , vol.10 , pp. 265-280
  • 12
    • 0001109907 scopus 로고
    • Scheduling networks of queues: Heavy traffic analysis of a simple open network
    • J. M. HARRISON AND L. M. WEIN (1989), Scheduling networks of queues: Heavy traffic analysis of a simple open network, Queueing Systems Theory Appl., 5, pp. 265-280.
    • (1989) Queueing Systems Theory Appl. , vol.5 , pp. 265-280
    • Harrison, J.M.1    Wein, L.M.2
  • 13
    • 0025511612 scopus 로고
    • Scheduling networks of queues: Heavy traffic analysis of a two-station closed network
    • _ (1990), Scheduling networks of queues: Heavy traffic analysis of a two-station closed network, Oper. Res., 38, pp. 1052-1064.
    • (1990) Oper. Res. , vol.38 , pp. 1052-1064
  • 14
    • 0014756893 scopus 로고
    • Multiple channel queues in heavy traffic I, II
    • D. IGLEHART AND W. WHITT (1970), Multiple channel queues in heavy traffic I, II, Adv. in Appl. Probab., 2, pp. 150-177, 355-364.
    • (1970) Adv. in Appl. Probab. , vol.2 , pp. 150-177
    • Iglehart, D.1    Whitt, W.2
  • 16
    • 0000977370 scopus 로고
    • Production control in a failure-prone manufacturing system: Diffusion approximation and asymptotic optimality
    • E. V. KRICHAGINA, S. X. C. LOU, S. SETHI, AND M. TAKSAR (1993), Production control in a failure-prone manufacturing system: Diffusion approximation and asymptotic optimality, Ann. Appl. Probab., 3, pp. 421-453.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 421-453
    • Krichagina, E.V.1    Lou, S.X.C.2    Sethi, S.3    Taksar, M.4
  • 17
    • 0001520749 scopus 로고
    • Double band policy for stochastic manufacturing systems in heavy traffic
    • E. V. KRICHAGINA, S. X. C. LOU, AND M. TAKSAR (1994), Double band policy for stochastic manufacturing systems in heavy traffic, Math. Oper. Res., 19, pp. 560-596.
    • (1994) Math. Oper. Res. , vol.19 , pp. 560-596
    • Krichagina, E.V.1    Lou, S.X.C.2    Taksar, M.3
  • 18
    • 0025483212 scopus 로고
    • Routing and singular control for queueing networks in heavy traffic
    • H. J. KUSHNER AND F. L. MARTTNS (1990), Routing and singular control for queueing networks in heavy traffic, SIAM J. Control Optim., 28, pp. 1209-1233.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 1209-1233
    • Kushner, H.J.1    Marttns, F.L.2
  • 20
    • 0030241171 scopus 로고    scopus 로고
    • Heavy traffic analysis of a controlled multi-class queueing network via weak convergence methods
    • _ (1996), Heavy traffic analysis of a controlled multi-class queueing network via weak convergence methods, SIAM J. Control Optim., 34, pp. 1781-1797.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1781-1797
  • 21
    • 0024001467 scopus 로고
    • Nearly optimal singular controls for wideband noise driven systems
    • H. KUSHNER AND K.M. RAMACHANDRAN (1988), Nearly optimal singular controls for wideband noise driven systems, SIAM J. Control Optim., 26, pp. 569-591.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 569-591
    • Kushner, H.1    Ramachandran, K.M.2
  • 22
    • 0024771430 scopus 로고
    • Optimal and approximately optimal control problems for queues in heavy traffic
    • H. KUSHNER AND K. M. RAMACHANDRAN (1989), Optimal and approximately optimal control problems for queues in heavy traffic, SIAM J. Control Optim., 27, pp. 1293-1318.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 1293-1318
    • Kushner, H.1    Ramachandran, K.M.2
  • 23
    • 0002223981 scopus 로고
    • Resource pooling in queueing networks with dynamic routing
    • N. C. LAWS (1992), Resource pooling in queueing networks with dynamic routing, Adv. in Appl. Probab., 24, pp. 699-726.
    • (1992) Adv. in Appl. Probab. , vol.24 , pp. 699-726
    • Laws, N.C.1
  • 24
    • 84974450326 scopus 로고
    • Dynamic scheduling of a four-station queueing network
    • N. C. LAWS AND G. M. LOUTH (1990), Dynamic scheduling of a four-station queueing network, Probab. Engrg. Inform. Sci., 4, pp. 131-156.
    • (1990) Probab. Engrg. Inform. Sci. , vol.4 , pp. 131-156
    • Laws, N.C.1    Louth, G.M.2
  • 25
    • 0002816593 scopus 로고
    • A heavy traffic limit theorem for networks of queues with multiple customer types
    • W. P. PETERSON (1990), A heavy traffic limit theorem for networks of queues with multiple customer types, Math. Oper. Res., 16, pp. 90-118.
    • (1990) Math. Oper. Res. , vol.16 , pp. 90-118
    • Peterson, W.P.1
  • 26
    • 0021481522 scopus 로고
    • Open queueing networks in heavy traffic
    • M. REIMAN (1984), Open queueing networks in heavy traffic, Math. Oper. Res., 9, pp. 441-458.
    • (1984) Math. Oper. Res. , vol.9 , pp. 441-458
    • Reiman, M.1
  • 27
    • 0000279589 scopus 로고
    • A multiclass feedback queue in heavy traffic
    • _ (1988), A multiclass feedback queue in heavy traffic, Adv. in Appl. Probab., 20, pp. 179-207.
    • (1988) Adv. in Appl. Probab. , vol.20 , pp. 179-207
  • 28
    • 0002299223 scopus 로고
    • Optimal control of a two-station Brownian network
    • L. WEIN (1990a), Optimal control of a two-station Brownian network, Math. Oper. Res., 15, pp. 215-242.
    • (1990) Math. Oper. Res. , vol.15 , pp. 215-242
    • Wein, L.1
  • 29
    • 0025510925 scopus 로고
    • Scheduling of network queues: Heavy traffic analysis of a two-station network with controllable inputs
    • _ (1990b), Scheduling of network queues: Heavy traffic analysis of a two-station network with controllable inputs, Oper. Res., 38, pp. 1065-1078.
    • (1990) Oper. Res. , vol.38 , pp. 1065-1078
  • 30
    • 0026859187 scopus 로고
    • Scheduling of network queues: Heavy traffic analysis of a multistation network with controllable inputs
    • _ (1992), Scheduling of network queues: Heavy traffic analysis of a multistation network with controllable inputs, Oper. Res., 40, pp. S312-S334.
    • (1992) Oper. Res. , vol.40


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.