메뉴 건너뛰기




Volumn 19, Issue 6, 2009, Pages 2137-2175

Heavy-traffic limits for waiting times in many-server queues with abandonment

Author keywords

Diffusion approximations; Functional central limit theorems; Many server heavy traffic limits for queues; Multiple server queues; Waiting times

Indexed keywords


EID: 70350295858     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/09-AAP606     Document Type: Article
Times cited : (24)

References (20)
  • 1
    • 29144497197 scopus 로고    scopus 로고
    • Dynamic routing in large-scale service systems with heterogeneous servers
    • MR2189596
    • ARMONY, M. (2005). Dynamic routing in large-scale service systems with heterogeneous servers. Queueing Syst. 51 287-329. MR2189596
    • (2005) Queueing Syst , vol.51 , pp. 287-329
    • ARMONY, M.1
  • 2
    • 73949147552 scopus 로고    scopus 로고
    • BILLINGSLEY, P. (1968). Convergence of Probability Measures. Wiley, New York. MR0233396
    • BILLINGSLEY, P. (1968). Convergence of Probability Measures. Wiley, New York. MR0233396
  • 4
    • 67649979703 scopus 로고    scopus 로고
    • Scheduling flexible servers with convex delay costs in many-server service-systems
    • GURVICH, I. and WHITT, W. (2009). Scheduling flexible servers with convex delay costs in many-server service-systems. Manufacturing Service Oper. Management. 11 237-253.
    • (2009) Manufacturing Service Oper. Management , vol.11 , pp. 237-253
    • GURVICH, I.1    WHITT, W.2
  • 5
    • 0019560371 scopus 로고    scopus 로고
    • HALFIN, S. and WHITT, W. (1981). Heavy-traffic limits for queues with many exponential servers. Oper. Res. 29 567-588. MR629195
    • HALFIN, S. and WHITT, W. (1981). Heavy-traffic limits for queues with many exponential servers. Oper. Res. 29 567-588. MR629195
  • 6
    • 0032264872 scopus 로고    scopus 로고
    • Strong approximations for Markovian service networks
    • MR1663767
    • MANDELBAUM, A., MASSEY, W. A. and REIMAN, M. I. (1998). Strong approximations for Markovian service networks. Queueing Systems Theory Appl. 30 149-201. MR1663767
    • (1998) Queueing Systems Theory Appl , vol.30 , pp. 149-201
    • MANDELBAUM, A.1    MASSEY, W.A.2    REIMAN, M.I.3
  • 9
    • 52949126577 scopus 로고    scopus 로고
    • Martingale proofs of many-server heavy-traffic limits for Markovian queues
    • MR2368951
    • PANG, G., TALREJA, R. and WHITT, W. (2007). Martingale proofs of many-server heavy-traffic limits for Markovian queues. Probab. Surv. 4 193-267. MR2368951
    • (2007) Probab. Surv , vol.4 , pp. 193-267
    • PANG, G.1    TALREJA, R.2    WHITT, W.3
  • 10
    • 73949088980 scopus 로고    scopus 로고
    • PARTHASARATHY, K. R. (1967). Probability Measures on Metric Spaces. Probability and Mathematical Statistics 3 Academic Press, New York. MR0226684
    • PARTHASARATHY, K. R. (1967). Probability Measures on Metric Spaces. Probability and Mathematical Statistics 3 Academic Press, New York. MR0226684
  • 11
    • 0000870284 scopus 로고
    • On the invariance principle for the first passage time
    • MR1304631
    • PUHALSKII, A. (1994). On the invariance principle for the first passage time. Math. Oper. Res. 19 946-954. MR1304631
    • (1994) Math. Oper. Res , vol.19 , pp. 946-954
    • PUHALSKII, A.1
  • 12
    • 73949106873 scopus 로고    scopus 로고
    • t queue in heavy traffic. Available at arXiv.org/abs/0807.4621.
    • t queue in heavy traffic. Available at arXiv.org/abs/0807.4621.
  • 13
    • 0034207369 scopus 로고    scopus 로고
    • The multiclass GI/PH/N queue in the Halfin-Whitt regime
    • MR1778580
    • PUHALSKII, A. A. and REIMAN, M. I. (2000). The multiclass GI/PH/N queue in the Halfin-Whitt regime. Adv. in Appl. Probab. 32 564-595. MR1778580
    • (2000) Adv. in Appl. Probab , vol.32 , pp. 564-595
    • PUHALSKII, A.A.1    REIMAN, M.I.2
  • 14
    • 0018977055 scopus 로고    scopus 로고
    • WHITT, W. (1980). Some useful functions for functional limit theorems. Math. Oper. Res. 5 67-85. MR561155
    • WHITT, W. (1980). Some useful functions for functional limit theorems. Math. Oper. Res. 5 67-85. MR561155
  • 15
    • 73949134000 scopus 로고    scopus 로고
    • WHITT, W. (2002). Stochastic-Process Limits. Springer, New York. MR1876437
    • WHITT, W. (2002). Stochastic-Process Limits. Springer, New York. MR1876437
  • 16
    • 73949154090 scopus 로고    scopus 로고
    • WHITT, W. (2002). Internet supplement to Stochastic Process Limits. Available at http://www.columbia.edu/~ww2040/supplement.html.
    • WHITT, W. (2002). Internet supplement to Stochastic Process Limits. Available at http://www.columbia.edu/~ww2040/supplement.html.
  • 17
    • 8344231672 scopus 로고    scopus 로고
    • Efficiency-driven heavy-traffic approximations for many-server queues with abandonments
    • WHITT, W. (2004). Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Management Sci. 50 1449-1461.
    • (2004) Management Sci , vol.50 , pp. 1449-1461
    • WHITT, W.1
  • 18
    • 14844304484 scopus 로고    scopus 로고
    • Engineering solution of a basic call-center model
    • WHITT, W. (2005). Engineering solution of a basic call-center model. Management Sci. 51 221-235.
    • (2005) Management Sci , vol.51 , pp. 221-235
    • WHITT, W.1
  • 19
    • 84858522672 scopus 로고    scopus 로고
    • */n/m queue
    • MR2125135
    • */n/m queue. Math. Oper. Res. 30 1-27. MR2125135
    • (2005) Math. Oper. Res , vol.30 , pp. 1-27
    • WHITT, W.1
  • 20
    • 29144434014 scopus 로고    scopus 로고
    • Call centers with impatient customers: Many-server asymptotics of the M/M/n + G queue
    • MR2189598
    • ZELTYN, S. and MANDELBAUM, A. (2005). Call centers with impatient customers: Many-server asymptotics of the M/M/n + G queue. Queueing Syst. 51 361-402. MR2189598
    • (2005) Queueing Syst , vol.51 , pp. 361-402
    • ZELTYN, S.1    MANDELBAUM, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.