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Volumn 33, Issue 3, 2008, Pages 561-586

Queues with many servers: The virtual waiting-time process in the QED regime

Author keywords

Economies of scale; Heavy traffic; Multiserver queue; Quality and efficiency driven (QED) or halfin whitt regime; Telephone call or contact centers

Indexed keywords

ECONOMIES OF SCALE; HEAVY-TRAFFIC; MULTISERVER QUEUE; QUALITY- AND EFFICIENCY-DRIVEN (QED) OR HALFIN-WHITT REGIME; TELEPHONE CALL OR CONTACT CENTERS;

EID: 49449103062     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1070.0310     Document Type: Article
Times cited : (28)

References (38)
  • 1
    • 31444443182 scopus 로고    scopus 로고
    • A survey of max-type recursive distributional equations
    • Aldous, D., A. Bandyopadhyay. 2005. A survey of max-type recursive distributional equations. Ann. Appl. Probab. 15(2) 1047-1110.
    • (2005) Ann. Appl. Probab , vol.15 , Issue.2 , pp. 1047-1110
    • Aldous, D.1    Bandyopadhyay, A.2
  • 2
    • 4544352590 scopus 로고    scopus 로고
    • Contact centers with a call-back option and real-time delay information
    • Armony, M., C. Maglaras. 2004. Contact centers with a call-back option and real-time delay information. Oper. Res. 52(4) 527-545.
    • (2004) Oper. Res , vol.52 , Issue.4 , pp. 527-545
    • Armony, M.1    Maglaras, C.2
  • 3
    • 0141510439 scopus 로고    scopus 로고
    • On customer contact centers with a call-back option: Customer decisions, sequencing rules, and system design
    • Armony, M., C. Maglaras. 2004. On customer contact centers with a call-back option: Customer decisions, sequencing rules, and system design. Oper. Res. 52(2) 271-292.
    • (2004) Oper. Res , vol.52 , Issue.2 , pp. 271-292
    • Armony, M.1    Maglaras, C.2
  • 5
    • 14544287797 scopus 로고    scopus 로고
    • A diffusion model of scheduling control in queueing systems with many servers
    • Atar, R. 2005. A diffusion model of scheduling control in queueing systems with many servers. Ann. Appl. Probab. 15(1B) 820-852.
    • (2005) Ann. Appl. Probab , vol.15 , Issue.1 B , pp. 820-852
    • Atar, R.1
  • 6
    • 14544279564 scopus 로고    scopus 로고
    • Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic
    • Atar, R. 2005. Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic. Ann. Appl. Probab. 15(4) 2606-2650.
    • (2005) Ann. Appl. Probab , vol.15 , Issue.4 , pp. 2606-2650
    • Atar, R.1
  • 7
    • 11244303067 scopus 로고    scopus 로고
    • Scheduling a multi class queue with many exponential servers: Asymptotic optimality in heavy traffic
    • Atar, R., A. Mandelbaum, M. Reiman. 2004. Scheduling a multi class queue with many exponential servers: Asymptotic optimality in heavy traffic. Ann. Appl. Probab. 14(3) 1084-1134.
    • (2004) Ann. Appl. Probab , vol.14 , Issue.3 , pp. 1084-1134
    • Atar, R.1    Mandelbaum, A.2    Reiman, M.3
  • 9
    • 3142743698 scopus 로고    scopus 로고
    • Dimensioning of large call centers
    • Borst, S., A. Mandelbaum, M. Reiman. 2004. Dimensioning of large call centers. Oper. Res. 52(1) 17-34.
    • (2004) Oper. Res , vol.52 , Issue.1 , pp. 17-34
    • Borst, S.1    Mandelbaum, A.2    Reiman, M.3
  • 11
    • 0344579138 scopus 로고
    • On the rational determination of the number of circuits
    • E. Brockmeyer, H. L. Halstrom, A. Jensen, eds, The Copenhagen Telephone Company, Copenhagen
    • Erlang, A. K. 1948. On the rational determination of the number of circuits. E. Brockmeyer, H. L. Halstrom, A. Jensen, eds. The Life and Works of A. K. Erlang. The Copenhagen Telephone Company, Copenhagen.
    • (1948) The Life and Works of A. K. Erlang
    • Erlang, A.K.1
  • 15
    • 0000649797 scopus 로고
    • A new view of the heavy-traffic limit theorem for the infinite-server queue
    • Glynn, P., W. Whitt. 1991. A new view of the heavy-traffic limit theorem for the infinite-server queue. Adv. Appl. Probab. 23 188-209.
    • (1991) Adv. Appl. Probab , vol.23 , pp. 188-209
    • Glynn, P.1    Whitt, W.2
  • 16
    • 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
  • 17
    • 41549147211 scopus 로고    scopus 로고
    • Service level differentiation in call centers with fully flexible servers
    • Gurvich, I., M. Armory, A. Mandelbaum. 2008. Service level differentiation in call centers with fully flexible servers. Management Sci. 54(2) 279-294.
    • (2008) Management Sci , vol.54 , Issue.2 , pp. 279-294
    • Gurvich, I.1    Armory, M.2    Mandelbaum, A.3
  • 18
    • 0019560371 scopus 로고
    • Heavy-traffic limits for queues with many exponential servers
    • Halfin, S., W. Whitt. 1981. Heavy-traffic limits for queues with many exponential servers. Oper: Res. 29(3) 567-588.
    • (1981) Oper: Res , vol.29 , Issue.3 , pp. 567-588
    • Halfin, S.1    Whitt, W.2
  • 19
    • 19744380935 scopus 로고    scopus 로고
    • Dynamic scheduling of a multiclass queue in the Halfin-Whitt heavy traffic regime
    • Harrison, J. M., A. Zeevi. 2004. Dynamic scheduling of a multiclass queue in the Halfin-Whitt heavy traffic regime. Oper: Res. 52(2) 243-257.
    • (2004) Oper: Res , vol.52 , Issue.2 , pp. 243-257
    • Harrison, J.M.1    Zeevi, A.2
  • 21
    • 0016035409 scopus 로고
    • Some properties of the Erlang loss function
    • Jagerman, D. 1974. Some properties of the Erlang loss function. Bell System Techn. J. 53(3) 525-551.
    • (1974) Bell System Techn. J , vol.53 , Issue.3 , pp. 525-551
    • Jagerman, D.1
  • 24
    • 0002299055 scopus 로고
    • On the theory of queues with many servers
    • Kiefer, J., J. Wolfowitz. 1955. On the theory of queues with many servers. Trans. Amer: Math. Soc. 78 1-18.
    • (1955) Trans. Amer: Math. Soc , vol.78 , pp. 1-18
    • Kiefer, J.1    Wolfowitz, J.2
  • 25
    • 0007328427 scopus 로고    scopus 로고
    • A heavy-traffic analysis of a closed queueing system with a GI/∞ service center
    • Krichagina, E., A. Puhalskii. 1997. A heavy-traffic analysis of a closed queueing system with a GI/∞ service center. Queueing System Theory Appl. 25 (1-4) 235-280.
    • (1997) Queueing System Theory Appl , vol.25 , Issue.1-4 , pp. 235-280
    • Krichagina, E.1    Puhalskii, A.2
  • 26
    • 0141675997 scopus 로고    scopus 로고
    • Pricing and capacity sizing for systems with, shared resources: Approximate solutions and scaling relations
    • Maglaras, C., A. Zeevi. 2003. Pricing and capacity sizing for systems with, shared resources: Approximate solutions and scaling relations. Management Sci. 49(8) 1018-1038.
    • (2003) Management Sci , vol.49 , Issue.8 , pp. 1018-1038
    • Maglaras, C.1    Zeevi, A.2
  • 27
    • 0001835972 scopus 로고
    • Strong approximations for time-dependent queues
    • Mandelbaum, A., W. Massey. 1995. Strong approximations for time-dependent queues. Math. Oper. Res. 20(1) 33-64.
    • (1995) Math. Oper. Res , vol.20 , Issue.1 , pp. 33-64
    • Mandelbaum, A.1    Massey, W.2
  • 28
    • 0344579120 scopus 로고    scopus 로고
    • Simulation experiments with M/G/100 queues in the Halfin-Whitt (Q.E.D.) regime
    • Technical report, Technion
    • Mandelbaum, A., R. Schwartz. 2002. Simulation experiments with M/G/100 queues in the Halfin-Whitt (Q.E.D.) regime. Technical report, Technion, http://iew3.technion.ac.il/serveng/References/references.html.
    • (2002)
    • Mandelbaum, A.1    Schwartz, R.2
  • 29
    • 61349089852 scopus 로고    scopus 로고
    • Staffing many-server queues with impatient customers: Constraint satisfaction in call centers
    • preprint
    • Mandelbaum, A., S. Zeltyn. 2006. Staffing many-server queues with impatient customers: Constraint satisfaction in call centers. preprint.
    • (2006)
    • Mandelbaum, A.1    Zeltyn, S.2
  • 30
    • 0000870284 scopus 로고
    • On the invariance principle for the first passage time
    • Puhalskii, A. 1994. On the invariance principle for the first passage time. Math. Oper. Res. 19(4) 946-954.
    • (1994) Math. Oper. Res , vol.19 , Issue.4 , pp. 946-954
    • Puhalskii, A.1
  • 31
    • 0034207369 scopus 로고    scopus 로고
    • The multiclass GI/PH/N queue in the Halfin-Whitt regime
    • Puhalskii, A., M. Reiman. 2000. The multiclass GI/PH/N queue in the Halfin-Whitt regime. Adv. Appl. Probab. 32(3) 564-595.
    • (2000) Adv. Appl. Probab , vol.32 , Issue.3 , pp. 564-595
    • Puhalskii, A.1    Reiman, M.2
  • 32
    • 49449092549 scopus 로고    scopus 로고
    • Optimal control of distributed parallel server systems under the Halfin and Whitt regime
    • Tezcan, T. 2008. Optimal control of distributed parallel server systems under the Halfin and Whitt regime. Math. Oper. Res. 33(1) 51-90.
    • (2008) Math. Oper. Res , vol.33 , Issue.1 , pp. 51-90
    • Tezcan, T.1
  • 33
    • 0018977055 scopus 로고
    • Some useful functions for functional limit theorems
    • Whitt, W. 1980. Some useful functions for functional limit theorems. Math Oper: Res. 5(1) 67-85.
    • (1980) Math Oper: Res , vol.5 , Issue.1 , pp. 67-85
    • Whitt, W.1
  • 35
    • 12344295803 scopus 로고    scopus 로고
    • A diffusion approximation for the G/GI/n/m queue
    • Whitt, W. 2004. A diffusion approximation for the G/GI/n/m queue. Oper. Res. 52(6) 922-941.
    • (2004) Oper. Res , vol.52 , Issue.6 , pp. 922-941
    • Whitt, W.1
  • 36
    • 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(10) 1449-1461.
    • (2004) Management Sci , vol.50 , Issue.10 , pp. 1449-1461
    • Whitt, W.1
  • 37
    • 84858522672 scopus 로고    scopus 로고
    • 2* ; queue
    • 2* ; queue. Math. Oper. Res. 30(1) 1-27.
    • (2005) Math. Oper. Res , vol.30 , Issue.1 , pp. 1-27
    • Whitt, W.1
  • 38
    • 29144434014 scopus 로고    scopus 로고
    • Call centers with impatient customers: Many-server asymptotics of the M/M/n+G queue
    • Zeltyn, S., A. Mandelbaum. 2005. Call centers with impatient customers: Many-server asymptotics of the M/M/n+G queue. Queueing Syst. Theory Appl. 51(3-4) 361-402.
    • (2005) Queueing Syst. Theory Appl , vol.51 , Issue.3-4 , pp. 361-402
    • Zeltyn, S.1    Mandelbaum, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.