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Volumn 64, Issue 3, 2011, Pages 339-362

Weak convergence and fluid limits in optimal time-to-empty Queueing control problems

Author keywords

Fluid limit; Optimal control; Queueing; Relaxed controls

Indexed keywords

BOUNDEDNESS; BOUNDEDNESS PROPERTIES; CONTROL PROBLEMS; EQUICONTINUITY; FLUID LIMITS; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; OPTIMAL VALUE FUNCTIONS; OPTIMAL VALUES; QUEUE LENGTHS; QUEUEING; QUEUEING CONTROL; RELAXED CONTROL; RESCALING; ROUTING PROBABILITIES; RUNNING COST; SEMICONTINUOUS VISCOSITY; STOCHASTIC CONTROL; SUFFICIENT CONDITIONS; WEAK CONVERGENCE;

EID: 84871507166     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-011-9144-y     Document Type: Article
Times cited : (2)

References (24)
  • 2
    • 0034310135 scopus 로고    scopus 로고
    • Asymptotic optimality of tracking policies in stochastic networks
    • Bäuerle, N.: Asymptotic optimality of tracking policies in stochastic networks. Ann. Appl. Probab. 10, 1065-1083 (2000)
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 1065-1083
    • Bäuerle, N.1
  • 6
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • Dai, J.G.: On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. Ann. Appl. Probab. 5, 49-77 (1995)
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 7
    • 18744413544 scopus 로고    scopus 로고
    • Maximum pressure policies in stochastic processing networks
    • Dai, J.G., Lin, W.: Maximum pressure policies in stochastic processing networks. Oper. Res. 53, 197-218 (2005)
    • (2005) Oper. Res. , vol.53 , pp. 197-218
    • Dai, J.G.1    Lin, W.2
  • 8
    • 0029404157 scopus 로고
    • Stability and convergence of moments for multiclass queueing networks via fluid limit models
    • Dai, J.G., Meyn, S.P.: Stability and convergence of moments for multiclass queueing networks via fluid limit models. IEEE Trans. Autom. Control 40, 1889-1904 (1995)
    • (1995) IEEE Trans. Autom. Control , vol.40 , pp. 1889-1904
    • Dai, J.G.1    Meyn, S.P.2
  • 9
    • 0030086281 scopus 로고    scopus 로고
    • Stability and instability of fluid models for certain reentrant lines
    • Dai, J.G., Weiss, G.: Stability and instability of fluid models for certain reentrant lines. Math. Oper. Res. 21, 115-134 (1996)
    • (1996) Math. Oper. Res. , vol.21 , pp. 115-134
    • Dai, J.G.1    Weiss, G.2
  • 10
    • 3142772649 scopus 로고    scopus 로고
    • An escape-time criterion for queueing networks: Asymptotic risksensitive control via differential games
    • Dupuis, P., Atar, R., Shwartz, A.: An escape-time criterion for queueing networks: asymptotic risksensitive control via differential games. Math. Oper. Res. 28, 801-835 (2003)
    • (2003) Math. Oper. Res. , vol.28 , pp. 801-835
    • Dupuis, P.1    Atar, R.2    Shwartz, A.3
  • 11
    • 0001985427 scopus 로고
    • On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications
    • Dupuis, P., Ishii, H.: On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications. Stoch. Stoch. Rep. 35, 31-62 (1991)
    • (1991) Stoch. Stoch. Rep. , vol.35 , pp. 31-62
    • Dupuis, P.1    Ishii, H.2
  • 12
    • 18544395348 scopus 로고    scopus 로고
    • Convex duality and the Skorokhod problem, i and II
    • also pp. 197-236
    • Dupuis, P., Ramanan, K.: Convex duality and the Skorokhod problem, I and II. Probab. Theory Relat. Fields 115, 153-195 (1999) also pp. 197-236
    • (1999) Probab. Theory Relat. Fields , vol.115 , pp. 153-195
    • Dupuis, P.1    Ramanan, K.2
  • 15
    • 0000531113 scopus 로고
    • Multivariate point processes: Predictable projection, Radon-Nikodym derivatives, representation of martingales
    • Jacod, J.: Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales. Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 235-253 (1975)
    • (1975) Z. Wahrscheinlichkeitstheor. Verw. Geb. , vol.31 , pp. 235-253
    • Jacod, J.1
  • 17
    • 72249113041 scopus 로고    scopus 로고
    • Stability and asymptotic optimality of generalized Max Weight policies
    • Meyn, S.P.: Stability and asymptotic optimality of generalized MaxWeight policies. SIAM J. Control Optim. 47, 3259-3294 (2009)
    • (2009) SIAM J. Control Optim. , vol.47 , pp. 3259-3294
    • Meyn, S.P.1
  • 19
    • 23944498849 scopus 로고    scopus 로고
    • Workload models for stochastic networks: Value functions and performance evaluation
    • Meyn, S.P.: Workload models for stochastic networks: value functions and performance evaluation. IEEE Trans. Autom. Control 50, 1106-1122 (2005)
    • (2005) IEEE Trans. Autom. Control , vol.50 , pp. 1106-1122
    • Meyn, S.P.1
  • 20
    • 0031344030 scopus 로고    scopus 로고
    • The policy iteration algorithm for average reward Markov decision processes with general state space
    • Meyn, S.P.: The policy iteration algorithm for average rewardMarkov decision processes with general state space. IEEE Trans. Autom. Control 42, 1663-1680 (1997)
    • (1997) IEEE Trans. Autom. Control , vol.42 , pp. 1663-1680
    • Meyn, S.P.1
  • 21
    • 0001633213 scopus 로고    scopus 로고
    • Stability and optimization of queueing networks and their fluid models
    • AMS, Providence
    • Meyn, S.P.: Stability and optimization of queueing networks and their fluid models. In: Mathematics of Stochastic Manufacturing Systems, pp. 175-199. AMS, Providence (1997)
    • (1997) Mathematics of Stochastic Manufacturing Systems , pp. 175-199
    • Meyn, S.P.1
  • 22
    • 65049087000 scopus 로고    scopus 로고
    • Near optimal control of queueing networks over a finite time horizon
    • Nazarathy, Y., Weiss, G.: Near optimal control of queueing networks over a finite time horizon. Ann. Oper. Res. 170, 233-249 (2005)
    • (2005) Ann. Oper. Res. , vol.170 , pp. 233-249
    • Nazarathy, Y.1    Weiss, G.2
  • 23
    • 34548690815 scopus 로고    scopus 로고
    • Fluid limits of optimally controlled queueing networks
    • Pang, G., Day, M.V.: Fluid limits of optimally controlled queueing networks. J. Appl. Math. Stoch. Anal. 2007, 68958 (2007) (Available at http://www.hindawi.com/journals/ijsa/2007/068958.abs.html)
    • (2007) J. Appl. Math. Stoch. Anal. , vol.2007 , pp. 68958
    • Pang, G.1    Day, M.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.