메뉴 건너뛰기




Volumn 34, Issue 4, 2009, Pages 880-911

Fluid limits for shortest remaining processing time queues

Author keywords

Fluid limit; Fluid model; Measure valued process; Response time; Shortest remaining processing time

Indexed keywords

ARRIVAL RATES; DESCRIPTORS; EXISTENCE AND UNIQUENESS; FIRST-ORDER APPROXIMATIONS; FLUID LIMITS; FLUID MODELS; INITIAL CONDITIONS; LAW OF LARGE NUMBERS; MEASURE-VALUED PROCESS; RENEWAL ARRIVAL; RESPONSE TIME; SCALING LIMITS; SERVICE TIME; SERVICE TIME DISTRIBUTION; SHORTEST REMAINING PROCESSING TIME; SINGLE SERVER QUEUE;

EID: 73249139458     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1090.0409     Document Type: Article
Times cited : (29)

References (21)
  • 3
    • 33746239641 scopus 로고    scopus 로고
    • Multi-layered round robin routing for parallel servers
    • Down, D. G., R. Wu. 2006. Multi-layered round robin routing for parallel servers. Queueing Systems 53 177-188.
    • (2006) Queueing Systems , vol.53 , pp. 177-188
    • Down, D.G.1    Wu, R.2
  • 4
    • 78651466803 scopus 로고    scopus 로고
    • State-dependent response times via fluid limits for shortest remaining processing time queues. ACM Sigmetrics Performance Evaluation Review (poster session)
    • Forthcoming
    • Down, D., H. C. Gromoll, A. L. Puha. 2009. State-dependent response times via fluid limits for shortest remaining processing time queues. ACM Sigmetrics Performance Evaluation Review (poster session). Forthcoming.
    • (2009)
    • Down, D.1    Gromoll, H.C.2    Puha, A.L.3
  • 5
    • 0035538458 scopus 로고    scopus 로고
    • Real-time queues in heavy traffic with earliest-deadline-first queue discipline
    • Doytchinov, B., J. L. Lehoczky, S. E. Shreve. 2001. Real-time queues in heavy traffic with earliest-deadline-first queue discipline. Ann. Appl. Probab. 11 332-378.
    • (2001) Ann. Appl. Probab , vol.11 , pp. 332-378
    • Doytchinov, B.1    Lehoczky, J.L.2    Shreve, S.E.3
  • 7
    • 64149126206 scopus 로고    scopus 로고
    • Fluid limits for networks with bandwidth sharing and general document size distributions
    • Gromoll, H. C., R. J. Williams. 2009. Fluid limits for networks with bandwidth sharing and general document size distributions. Ann. Appl. Probab. 19 243-280.
    • (2009) Ann. Appl. Probab , vol.19 , pp. 243-280
    • Gromoll, H.C.1    Williams, R.J.2
  • 8
  • 10
    • 6944238857 scopus 로고    scopus 로고
    • Earliest-deadline-first service in heavy traffic acyclic networks
    • Kruk, ŁL., J. L. Lehoczky, S. E. Shreve, S. N. Yeung. 2004. Earliest-deadline-first service in heavy traffic acyclic networks. Ann. Appl. Probab. 14 1306-1352.
    • (2004) Ann. Appl. Probab , vol.14 , pp. 1306-1352
    • Kruk, Ł.1    Lehoczky, J.L.2    Shreve, S.E.3    Yeung, S.N.4
  • 11
    • 0141794201 scopus 로고    scopus 로고
    • Queues with equally heavy sojourn time and service requirement distributions
    • Núñez Queija, R. 2002. Queues with equally heavy sojourn time and service requirement distributions. Ann. Oper. Res. 113 101-117.
    • (2002) Ann. Oper. Res , vol.113 , pp. 101-117
    • Núñez Queija, R.1
  • 12
    • 33749351082 scopus 로고    scopus 로고
    • A large deviations analysis of the GI/GI/1 SRPT queue
    • Nuyens, M., B. Zwart. 2006. A large deviations analysis of the GI/GI/1 SRPT queue. Queueing Systems 54 85-97.
    • (2006) Queueing Systems , vol.54 , pp. 85-97
    • Nuyens, M.1    Zwart, B.2
  • 13
    • 0027554212 scopus 로고
    • The variance of delay time in queueing system M/G/1 with optimal strategy SRPT
    • Perera, R. 1993. The variance of delay time in queueing system M/G/1 with optimal strategy SRPT. Archiv Elektronik Übertragung-stechnik 47 110-114.
    • (1993) Archiv Elektronik Übertragung-stechnik , vol.47 , pp. 110-114
    • Perera, R.1
  • 14
    • 0000033355 scopus 로고
    • Convergence of random processes and limit theorems in probability theory
    • Prohorov, Yu. V. 1956. Convergence of random processes and limit theorems in probability theory. Theory Probab. Appl. 1 157-214.
    • (1956) Theory Probab. Appl , vol.1 , pp. 157-214
    • Prohorov, Y.V.1
  • 15
    • 33748415199 scopus 로고    scopus 로고
    • The fluid limit of an overloaded processor sharing queue
    • Puha, A. L., A. L. Stoylar, R. J. Williams. 2006. The fluid limit of an overloaded processor sharing queue. Math. Oper. Res. 31 316-350.
    • (2006) Math. Oper. Res , vol.31 , pp. 316-350
    • Puha, A.L.1    Stoylar, A.L.2    Williams, R.J.3
  • 16
    • 0003586183 scopus 로고
    • The steady-state appearance of the M/G/1 queue under the discipline of shortest remaining processing time
    • Schassberger, R. 1990. The steady-state appearance of the M/G/1 queue under the discipline of shortest remaining processing time. Adv. Appl. Probab. 22 456-479.
    • (1990) Adv. Appl. Probab , vol.22 , pp. 456-479
    • Schassberger, R.1
  • 17
    • 0000891048 scopus 로고
    • A proof of the optimality of the shortest remaining processing time discipline
    • Schrage, L. 1968. A proof of the optimality of the shortest remaining processing time discipline. Oper. Res. 16 687-690.
    • (1968) Oper. Res , vol.16 , pp. 687-690
    • Schrage, L.1
  • 18
    • 0001230771 scopus 로고
    • The queue M/G/1 with the shortest remaining processing time discipline
    • Schrage, L. E., L. W. Miller. 1966. The queue M/G/1 with the shortest remaining processing time discipline. Oper. Res. 14 670-684.
    • (1966) Oper. Res , vol.14 , pp. 670-684
    • Schrage, L.E.1    Miller, L.W.2
  • 19
    • 0027663010 scopus 로고
    • Properties and applications of the optimal queueing strategy SRPT: A survey
    • Schreiber, F. 1993. Properties and applications of the optimal queueing strategy SRPT: A survey. Archiv Elektronik Übertragungstechnik 47 372-378.
    • (1993) Archiv Elektronik Übertragungstechnik , vol.47 , pp. 372-378
    • Schreiber, F.1
  • 20
    • 0003556420 scopus 로고
    • A new proof of the optimality of the shortest remaining processing time discipline
    • Smith, D. R. 1976. A new proof of the optimality of the shortest remaining processing time discipline. Oper. Res. 26 197-199.
    • (1976) Oper. Res , vol.26 , pp. 197-199
    • Smith, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.