메뉴 건너뛰기




Volumn 11, Issue 2, 2001, Pages 332-378

Real-time queues in heavy traffic with earliest-deadline-first queue discipline

Author keywords

Diffusion limits; Due dates; Heavy traffic; Queueing; Random measures

Indexed keywords


EID: 0035538458     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345295     Document Type: Article
Times cited : (112)

References (30)
  • 2
    • 21844507918 scopus 로고
    • Polling systems with zero switchover times: A heavy traffic-traffic averaging principle
    • COFFMAN, E. G., JR., PUHALSKII, A. A. and REIMAN, M. I. (1995). Polling systems with zero switchover times: A heavy traffic-traffic averaging principle. Ann. Appl. Probab. 5 681-719.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 681-719
    • Coffman E.G., Jr.1    Puhalskii, A.A.2    Reiman, M.I.3
  • 5
    • 0007197349 scopus 로고
    • A limit theorem for priority queues in heavy traffic
    • HARRISON, J. M. (1973). A limit theorem for priority queues in heavy traffic. J. Appl. Probab. 10 907-912.
    • (1973) J. Appl. Probab. , vol.10 , pp. 907-912
    • Harrison, J.M.1
  • 7
    • 0000044386 scopus 로고
    • Brownian models of queueing networks with heterogeneous customer populations
    • Springer, New York
    • HARRISON, J. M. (1988). Brownian models of queueing networks with heterogeneous customer populations. In Proceedings of the IMA Workshop on Stochastic Differential Systems 147-186. Springer, New York.
    • (1988) Proceedings of the IMA Workshop on Stochastic Differential Systems , pp. 147-186
    • Harrison, J.M.1
  • 8
    • 21144478130 scopus 로고
    • Brownian models of multiclass queueing networks: Current status and open problems
    • HARRISON, J. M. and NGUYEN, V. (1993). Brownian models of multiclass queueing networks: Current status and open problems. Queueing Systems Theory Appl. 13 5-40.
    • (1993) Queueing Systems Theory Appl. , vol.13 , pp. 5-40
    • Harrison, J.M.1    Nguyen, V.2
  • 9
    • 0025511612 scopus 로고
    • Scheduling networks of queues: Heavy traffic analysis of a two-station closed network
    • HARRISON, J. M. and WEIN, L. J. (1990). Scheduling networks of queues: Heavy traffic analysis of a two-station closed network. Oper. Res. 38 1052-1064.
    • (1990) Oper. Res. , vol.38 , pp. 1052-1064
    • Harrison, J.M.1    Wein, L.J.2
  • 10
    • 0024937041 scopus 로고
    • A performance analysis of minimum laxity and earliest deadline scheduling in a real-time system
    • HONG, J., TAN, X. and TOWSLEY, D. (1989). A performance analysis of minimum laxity and earliest deadline scheduling in a real-time system. IEEE Trans. Comput. 38 1736-1744.
    • (1989) IEEE Trans. Comput. , vol.38 , pp. 1736-1744
    • Hong, J.1    Tan, X.2    Towsley, D.3
  • 11
    • 0007336785 scopus 로고
    • On some limit theorems for the GI/G/1 queue
    • HOOKE, J. (1970). On some limit theorems for the GI/G/1 queue. J. Appl. Probab. 7 634-640.
    • (1970) J. Appl. Probab. , vol.7 , pp. 634-640
    • Hooke, J.1
  • 12
    • 0014756893 scopus 로고
    • Multiple channel queues in heavy traffic I
    • IGLEHART, D. and WHITT, W. (1970). Multiple channel queues in heavy traffic I. Adv. in Appl. Probab. 2 150-177.
    • (1970) Adv. in Appl. Probab. , vol.2 , pp. 150-177
    • Iglehart, D.1    Whitt, W.2
  • 13
    • 0000221206 scopus 로고
    • Multiple channel queues in heavy traffic II
    • IGLEHART, D. and WHITT, W. (1970). Multiple channel queues in heavy traffic II. Adv. in Appl. Probab. 2 355-364.
    • (1970) Adv. in Appl. Probab. , vol.2 , pp. 355-364
    • Iglehart, D.1    Whitt, W.2
  • 16
    • 0007266472 scopus 로고
    • The virtual waiting time of the GI/G/1 queue in heavy traffic
    • KYPRIANOU, E. (1971). The virtual waiting time of the GI/G/1 queue in heavy traffic. Adv. in Appl. Probab. 3 249-268.
    • (1971) Adv. in Appl. Probab. , vol.3 , pp. 249-268
    • Kyprianou, E.1
  • 18
    • 0031163033 scopus 로고    scopus 로고
    • Using real-time queueing theory to control lateness in real-time systems
    • LEHOCZKY, J. P. (1997). Using real-time queueing theory to control lateness in real-time systems. Performance Evaluation Review 25 158-168.
    • (1997) Performance Evaluation Review , vol.25 , pp. 158-168
    • Lehoczky, J.P.1
  • 20
    • 84974687699 scopus 로고
    • Scheduling algorithms for multiprogramming in a hard real-time environment
    • LIU, C. L. and LAYLAND, J. W. (1973). Scheduling algorithms for multiprogramming in a hard real-time environment. J. Assoc. Comput. Mach. 20(1) 40-61.
    • (1973) J. Assoc. Comput. Mach. , vol.20 , Issue.1 , pp. 40-61
    • Liu, C.L.1    Layland, J.W.2
  • 24
    • 0002816593 scopus 로고
    • A heavy traffic limit theorem for networks of queues with multiple customer types
    • PETERSON, W. P. (1991). A heavy traffic limit theorem for networks of queues with multiple customer types. Math. Oper. Res. 16 90-118.
    • (1991) Math. Oper. Res. , vol.16 , pp. 90-118
    • Peterson, W.P.1
  • 25
    • 0000033355 scopus 로고
    • Convergence of random processes and limit theorems in probability theory
    • PROKHOROV, YU. (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
    • Prokhorov, Yu.1
  • 27
    • 0000279589 scopus 로고
    • A multiclass feedback queue in heavy traffic
    • REIMAN, M. (1988). A multiclass feedback queue in heavy traffic. Adv. in Appl. Probab. 20 179-207.
    • (1988) Adv. in Appl. Probab. , vol.20 , pp. 179-207
    • Reiman, M.1
  • 28
    • 0000834346 scopus 로고
    • Dynamic scheduling with convex delay costs: The generalized cμ rule
    • VAN MIEGHEM, J. A. (1995). Dynamic scheduling with convex delay costs: The generalized cμ rule. Ann. Appl. Probab. 5 809-833.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 809-833
    • Van Mieghem, J.A.1
  • 29
    • 0025510925 scopus 로고
    • Scheduling networks of queues: Heavy traffic analysis of a two-station network with controllable inputs
    • WEIN, L. J. (1990). Scheduling networks of queues: Heavy traffic analysis of a two-station network with controllable inputs. Oper. Res. 38 1065-1078.
    • (1990) Oper. Res. , vol.38 , pp. 1065-1078
    • Wein, L.J.1
  • 30
    • 0002612004 scopus 로고
    • Weak convergence theorems for priority queues: Preemptive-resume discipline
    • WHITT, W. (1971). Weak convergence theorems for priority queues: Preemptive-resume discipline. J. Appl. Probab. 8 74-94.
    • (1971) J. Appl. Probab. , vol.8 , pp. 74-94
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.