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Volumn 69, Issue 12, 2012, Pages 623-642

Markov chains with discontinuous drifts have differential inclusion limits

Author keywords

Differential inclusion; Fluid limit; Mean field; Non smooth dynamics; Queuing systems; Stability

Indexed keywords

DIFFERENTIAL INCLUSIONS; FLUID LIMITS; MEAN FIELD; NON-SMOOTH; QUEUING SYSTEMS;

EID: 84867576210     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2012.07.003     Document Type: Article
Times cited : (34)

References (34)
  • 1
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • J.G. Dai On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models The Annals of Applied Probability 5 1 1995 49 77
    • (1995) The Annals of Applied Probability , vol.5 , Issue.1 , pp. 49-77
    • Dai, J.G.1
  • 2
    • 79960606039 scopus 로고    scopus 로고
    • Stability of queueing networks
    • M. Bramson Stability of queueing networks Probability Surveys 5 169-345 2008
    • (2008) Probability Surveys , vol.5 , pp. 169-345
    • Bramson, M.1
  • 3
    • 0033749075 scopus 로고    scopus 로고
    • Performance analysis of the IEEE 802.11 distributed coordination function
    • G. Bianchi Performance analysis of the IEEE 802.11 distributed coordination function IEEE Journal on Selected Areas in Communications 18 3 2000 535 547
    • (2000) IEEE Journal on Selected Areas in Communications , vol.18 , Issue.3 , pp. 535-547
    • Bianchi, G.1
  • 4
    • 84961905714 scopus 로고    scopus 로고
    • Random multi-access algorithms: A mean field analysis
    • Citeseer
    • C. Bordenave, D. Mcdonald, A. Proutière, Random multi-access algorithms: a mean field analysis, in: Proceedings of Allerton Conference, Citeseer, 2005.
    • (2005) Proceedings of Allerton Conference
    • C. Bordenave1
  • 5
    • 0033270230 scopus 로고    scopus 로고
    • Studying balanced allocations with differential equations
    • M. Mitzenmacher Studying balanced allocations with differential equations Combinatorics, Probability and Computing 8 5 1999 473 482 (Pubitemid 129640101)
    • (1999) Combinatorics Probability and Computing , vol.8 , Issue.5 , pp. 473-482
    • Mitzenmacher, M.1
  • 6
    • 77954912766 scopus 로고    scopus 로고
    • A mean field model of work stealing in large-scale systems
    • N. Gast, and B. Gaujal A mean field model of work stealing in large-scale systems ACM SIGMETRICS Performance Evaluation Review 38 1 2010 13 24
    • (2010) ACM SIGMETRICS Performance Evaluation Review , vol.38 , Issue.1 , pp. 13-24
    • Gast, N.1    Gaujal, B.2
  • 8
    • 53649095038 scopus 로고    scopus 로고
    • A class of mean field interaction models for computer and communication systems
    • M. Benaim, and J.-Y. Le Boudec A class of mean field interaction models for computer and communication systems Performance Evaluation 65 11-12 2008 823 838
    • (2008) Performance Evaluation , vol.65 , Issue.1112 , pp. 823-838
    • Benaim, M.1    Le Boudec, J.-Y.2
  • 9
    • 52949104083 scopus 로고    scopus 로고
    • The ODE method for stability of skip-free Markov chains with applications to MCMC
    • G. Fort, S. Meyn, E. Moulines, and P. Priouret The ODE method for stability of skip-free Markov chains with applications to MCMC The Annals of Applied Probability 18 2 2008 664 707
    • (2008) The Annals of Applied Probability , vol.18 , Issue.2 , pp. 664-707
    • Fort, G.1    Meyn, S.2    Moulines, E.3    Priouret, P.4
  • 10
    • 0032092187 scopus 로고    scopus 로고
    • One-dimensional transport equations with discontinuous coefficients
    • F. Bouchut, and F. James One-dimensional transport equations with discontinuous coefficients Nonlinear Analysis 32 7 1998 891
    • (1998) Nonlinear Analysis , vol.32 , Issue.7 , pp. 891
    • Bouchut, F.1    James, F.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 Processes and Related Fields 1 4 1995 491 512
    • (1995) Markov Processes and Related Fields , vol.1 , Issue.4 , pp. 491-512
    • Stolyar, A.L.1
  • 16
    • 70349673058 scopus 로고    scopus 로고
    • Instability of MaxWeight scheduling algorithms
    • IEEE
    • P. van de Ven, S. Borst, and S. Shneer Instability of MaxWeight scheduling algorithms INFOCOM 2009, IEEE 2009 IEEE 1701 1709
    • (2009) INFOCOM 2009, IEEE , pp. 1701-1709
    • Van De Ven, P.1    Borst, S.2    Shneer, S.3
  • 17
    • 53149130571 scopus 로고    scopus 로고
    • Stability of parallel queueing systems with coupled service rates
    • S. Borst, M. Jonckheere, and L. Leskelä Stability of parallel queueing systems with coupled service rates Discrete Event Dynamic Systems 18 4 2008 447 472
    • (2008) Discrete Event Dynamic Systems , vol.18 , Issue.4 , pp. 447-472
    • Borst, S.1    Jonckheere, M.2    Leskelä, L.3
  • 18
    • 84867575865 scopus 로고    scopus 로고
    • Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps
    • M. Jonckheere, S. Shneer, Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps, EURANDOM Report 2009-029, 2009.
    • (2009) EURANDOM Report 2009-029
    • Jonckheere, M.1    Shneer, S.2
  • 19
    • 63449139977 scopus 로고    scopus 로고
    • Differential equation approximations for Markov chains
    • R.W.R. Darling, and J.R. Norris Differential equation approximations for Markov chains Probability Surveys 5 2008 37 79
    • (2008) Probability Surveys , vol.5 , pp. 37-79
    • Darling, R.W.R.1    Norris, J.R.2
  • 20
    • 0001105004 scopus 로고
    • Topics in propagation of chaos
    • Lecture Notes in Mathematics Springer
    • A.-S. Sznitman Topics in propagation of chaos Cours de l'Ecole d'été de Saint-Flour Lecture Notes in Mathematics Vol. 1464 1989 Springer
    • (1989) Cours de l'Ecole d'Été de Saint-Flour , vol.1464
    • Sznitman, A.-S.1
  • 21
    • 0034341983 scopus 로고    scopus 로고
    • Chaoticity on path space for a queueing network with selection of the shortest queue among several
    • C. Graham Chaoticity on path space for a queueing network with selection of the shortest queue among several Journal of Applied Probability 37 1 2000 198 211
    • (2000) Journal of Applied Probability , vol.37 , Issue.1 , pp. 198-211
    • Graham, C.1
  • 22
    • 79951556098 scopus 로고    scopus 로고
    • A particle system in interaction with a rapidly varying environment: Mean field limits and applications
    • C. Bordenave, D. McDonald, and A. Proutière A particle system in interaction with a rapidly varying environment: mean field limits and applications Networks and Heterogeneous Media (NHM) 5 1 2010 31 62
    • (2010) Networks and Heterogeneous Media (NHM) , vol.5 , Issue.1 , pp. 31-62
    • Bordenave, C.1    McDonald, D.2    Proutière, A.3
  • 27
    • 84867581705 scopus 로고    scopus 로고
    • On the power of (even a little) centralization in distributed processing
    • San Jose
    • J.N. Tsitsiklis, K. Xu, On the power of (even a little) centralization in distributed processing, in: ACM Sigmetrics, San Jose, 2011.
    • (2011) ACM Sigmetrics
    • Tsitsiklis, J.N.1    Xu, K.2
  • 28
    • 85163788860 scopus 로고    scopus 로고
    • On the power of (even a little) centralization in distributed processing
    • J.N. Tsitsiklis, K. Xu, On the power of (even a little) centralization in distributed processing, Technical Report, 2011. http://web.mit.edu/jnt/www/ Papers/TXSIG11.pdf.
    • (2011) Technical Report
    • Tsitsiklis, J.N.1    Xu, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.