메뉴 건너뛰기




Volumn 34, Issue 4, 2009, Pages 937-970

Law of large number limits of limited processor-sharing queues

Author keywords

Convolution equation; Fluid model; Invariant manifold; Limited processor sharing; Measure valued process

Indexed keywords

CONVOLUTION EQUATIONS; FLUID MODELS; INVARIANT MANIFOLDS; MEASURE-VALUED PROCESS; PROCESSOR SHARING;

EID: 73249120519     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1090.0412     Document Type: Article
Times cited : (30)

References (34)
  • 1
    • 57349199739 scopus 로고
    • Expected response times in a non-symmetric time sharing queue with a limited number of service positions
    • Torino, Italy
    • Avi-Itzhak, B., S. Halfin. 1988. Expected response times in a non-symmetric time sharing queue with a limited number of service positions. Proc. 12th Internat. Teletraffic Congress, Torino, Italy.
    • (1988) Proc. 12th Internat. Teletraffic Congress
    • Avi-Itzhak, B.1    Halfin, S.2
  • 6
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • Dai, J. G. 1995a. On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab. 5(1) 49-77.
    • (1995) Ann. Appl. Probab , vol.5 , Issue.1 , pp. 49-77
    • Dai, J.G.1
  • 7
    • 0003098826 scopus 로고
    • Stability of open multiclass queueing networks via fluid models
    • Springer-Verlag, New York
    • Dai, J. G. 1995b. Stability of open multiclass queueing networks via fluid models. Proc. IMA Workshop Stochastic Networks, Springer-Verlag, New York.
    • (1995) Proc. IMA Workshop Stochastic Networks
    • Dai, J.G.1
  • 9
    • 0035538458 scopus 로고    scopus 로고
    • Real-time queues in heavy traffic with earliest-deadline-first queue discipline
    • Doytchinov, B., J. Lehoczky, S. Shreve. 2001. Real-time queues in heavy traffic with earliest-deadline-first queue discipline. Ann. Appl. Probab. 11(2) 332-378.
    • (2001) Ann. Appl. Probab , vol.11 , Issue.2 , pp. 332-378
    • Doytchinov, B.1    Lehoczky, J.2    Shreve, S.3
  • 10
    • 19944396816 scopus 로고    scopus 로고
    • A method for transparent admission control and request scheduling in e-commerce websites
    • New York
    • Elnikety, S., E. Nahum, J. Tracy, W. Zwaenepoel. 2004. A method for transparent admission control and request scheduling in e-commerce websites. World Wide Web Conf., New York.
    • (2004) World Wide Web Conf
    • Elnikety, S.1    Nahum, E.2    Tracy, J.3    Zwaenepoel, W.4
  • 12
    • 18844394130 scopus 로고    scopus 로고
    • Diffusion approximation for a processor sharing queue in heavy traffic
    • Gromoll, H. C. 2004. Diffusion approximation for a processor sharing queue in heavy traffic. Ann. Appl. Probab. 14(2) 555-611.
    • (2004) Ann. Appl. Probab , vol.14 , Issue.2 , pp. 555-611
    • Gromoll, H.C.1
  • 13
    • 52349118603 scopus 로고    scopus 로고
    • Heavy traffic limit for a processor sharing queue with soft deadlines
    • Gromoll, H. C.,Ł Kruk. 2007. Heavy traffic limit for a processor sharing queue with soft deadlines. Ann. Appl. Probab. 17(3) 1049-1101.
    • (2007) Ann. Appl. Probab , vol.17 , Issue.3 , pp. 1049-1101
    • Gromoll, H.C.1    Kruk, Ł.2
  • 14
    • 0036392198 scopus 로고    scopus 로고
    • The fluid limit of a heavily loaded processor sharing queue
    • Gromoll, H. C., A. L. Puha, R. J. Williams. 2002. The fluid limit of a heavily loaded processor sharing queue. Ann. Appl. Probab. 12(3) 797-859.
    • (2002) Ann. Appl. Probab , vol.12 , Issue.3 , pp. 797-859
    • Gromoll, H.C.1    Puha, A.L.2    Williams, R.J.3
  • 15
    • 57349172124 scopus 로고    scopus 로고
    • Fluid limits for processor sharing queues with impatience
    • Gromoll, H. C., P. Robert, B. Zwart. 2008. Fluid limits for processor sharing queues with impatience. Math. Oper. Res. 33(2) 375-402.
    • (2008) Math. Oper. Res , vol.33 , Issue.2 , pp. 375-402
    • Gromoll, H.C.1    Robert, P.2    Zwart, B.3
  • 17
    • 30544447638 scopus 로고    scopus 로고
    • World Scientific Publishing Co. Inc, River Edge, NJ
    • Hunter, J. K., B. Nachtergaele. 2001. Applied Analysis. World Scientific Publishing Co. Inc., River Edge, NJ.
    • (2001) Applied Analysis
    • Hunter, J.K.1    Nachtergaele, B.2
  • 18
    • 21844497404 scopus 로고
    • On the transient behavior of the processor sharing queue
    • Jean-Marie, A., P. Robert. 1994. On the transient behavior of the processor sharing queue. Queueing Systems Theory Appl. 17(1-2) 129-136.
    • (1994) Queueing Systems Theory Appl , vol.17 , Issue.1-2 , pp. 129-136
    • Jean-Marie, A.1    Robert, P.2
  • 19
  • 20
  • 22
    • 0003286671 scopus 로고
    • Queueing Systems
    • Wiley-Interscience, New York
    • Kleinrock, L. 1976. Queueing Systems. Vol. II, Computer Applications. Wiley-Interscience, New York.
    • (1976) Computer Applications , vol.2
    • Kleinrock, L.1
  • 23
    • 0003655414 scopus 로고
    • 2nd ed. Addison-Wesley Publishing Company Advanced Book Program, Reading, MA
    • Lang, S. 1983. Real Analysis, 2nd ed. Addison-Wesley Publishing Company Advanced Book Program, Reading, MA.
    • (1983) Real Analysis
    • Lang, S.1
  • 24
    • 73249116035 scopus 로고    scopus 로고
    • The limited processor sharing queue. Technical report, Centrum voor Wiskunde en Informatica, Amsterdam
    • Nuyens, M., W. van der Weij. 2007. The limited processor sharing queue. Technical report, Centrum voor Wiskunde en Informatica, Amsterdam.
    • (2007)
    • Nuyens, M.1    van der Weij, W.2
  • 25
    • 26844433655 scopus 로고    scopus 로고
    • Invariant states and rates of convergence for a critical fluid model of a processor sharing queue
    • Puha, A. L., R. J. Williams. 2004. Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. Ann. Appl. Probab. 14(2) 517-554.
    • (2004) Ann. Appl. Probab , vol.14 , Issue.2 , pp. 517-554
    • Puha, A.L.1    Williams, R.J.2
  • 26
    • 33748415199 scopus 로고    scopus 로고
    • The fluid limit of an overloaded processor sharing queue
    • Puha, A. L., A. L. Stolyar, R. J. Williams. 2006. The fluid limit of an overloaded processor sharing queue. Math. Oper. Res. 31(2) 316-350.
    • (2006) Math. Oper. Res , vol.31 , Issue.2 , pp. 316-350
    • Puha, A.L.1    Stolyar, A.L.2    Williams, R.J.3
  • 27
    • 0016082170 scopus 로고
    • The Unix time-sharing system
    • Ritchie, D. M., K. Thompson. 1974. The Unix time-sharing system. J. ACM 17(7) 365-375.
    • (1974) J. ACM , vol.17 , Issue.7 , pp. 365-375
    • Ritchie, D.M.1    Thompson, K.2
  • 33
    • 57349113592 scopus 로고    scopus 로고
    • Steady state approximations of limited processor sharing queues in heavy traffic
    • Zhang, J., B. Zwart. 2008. Steady state approximations of limited processor sharing queues in heavy traffic. Queueing Systems Theory Appl. 60(3-4) 227-246.
    • (2008) Queueing Systems Theory Appl , vol.60 , Issue.3-4 , pp. 227-246
    • Zhang, J.1    Zwart, B.2
  • 34
    • 73249127611 scopus 로고    scopus 로고
    • Diffusion limits of limited processor sharing queues. Technical report, Georgia Institute of Technology, Atlanta
    • Zhang, J., J. G. Dai, B. Zwart. 2007. Diffusion limits of limited processor sharing queues. Technical report, Georgia Institute of Technology, Atlanta. http://www.isye.gatech.edu/∼jzhang/research/lps-ht.pdf.
    • (2007)
    • Zhang, J.1    Dai, J.G.2    Zwart, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.