메뉴 건너뛰기




Volumn 17, Issue 1, 2012, Pages 1-14

Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models

Author keywords

[No Author keywords available]

Indexed keywords


EID: 82955165145     PISSN: 18767354     EISSN: None     Source Type: Book Series    
DOI: 10.1016/j.sorms.2011.08.002     Document Type: Review
Times cited : (52)

References (90)
  • 1
    • 39449086730 scopus 로고    scopus 로고
    • The modern call center: a multi-disciplinary perspective on operations management research
    • Aksin Z., Armony M., Mehrotra V. The modern call center: a multi-disciplinary perspective on operations management research. Production and Operations Management 2007, 16(6):665-688.
    • (2007) Production and Operations Management , vol.16 , Issue.6 , pp. 665-688
    • Aksin, Z.1    Armony, M.2    Mehrotra, V.3
  • 2
    • 0345117077 scopus 로고    scopus 로고
    • Telephone call centers: Tutorial, review, and research prospects
    • Gans N., Koole G., Mandelbaum A. Telephone call centers: Tutorial, review, and research prospects. M&SOM 2003, 5(2):79-141.
    • (2003) M&SOM , vol.5 , Issue.2 , pp. 79-141
    • Gans, N.1    Koole, G.2    Mandelbaum, A.3
  • 3
    • 82955222622 scopus 로고    scopus 로고
    • Staffing call centers with impatient customers
    • Refinements to many-server asymptotics, Operations Research, (in press).
    • B. Zhang, J.S.H. van Leeuwaarden, B. Zwart, Staffing call centers with impatient customers: Refinements to many-server asymptotics, Operations Research, 2010 (in press).
    • (2010)
    • Zhang, B.1    van Leeuwaarden, J.S.H.2    Zwart, B.3
  • 5
    • 0024090155 scopus 로고
    • Optimal scheduling policies for a class of queues with customer deadlines to the beginning of service
    • Panwar S.S., Towsley D., Wolf J.K. Optimal scheduling policies for a class of queues with customer deadlines to the beginning of service. Journal of the Association for Computing Machinery 1988, 35:832-844.
    • (1988) Journal of the Association for Computing Machinery , vol.35 , pp. 832-844
    • Panwar, S.S.1    Towsley, D.2    Wolf, J.K.3
  • 6
    • 29244471006 scopus 로고    scopus 로고
    • Using queueing theory to increase the effectiveness of emergency department provider staffing
    • Green L.V., Soares J., Giglio J.F., Green R.A. Using queueing theory to increase the effectiveness of emergency department provider staffing. Academic Emergency Medicine 2006.
    • (2006) Academic Emergency Medicine
    • Green, L.V.1    Soares, J.2    Giglio, J.F.3    Green, R.A.4
  • 7
    • 25144472657 scopus 로고    scopus 로고
    • Patient choice in kidney allocation: the role of the queueing discipline
    • Su X., Zenios S.A. Patient choice in kidney allocation: the role of the queueing discipline. M&SOM 2004, 6(4):280-301.
    • (2004) M&SOM , vol.6 , Issue.4 , pp. 280-301
    • Su, X.1    Zenios, S.A.2
  • 8
    • 0020154464 scopus 로고
    • Perishable inventory theory: a review
    • Nahmias S. Perishable inventory theory: a review. Operations Research 1982, 30(4):680-708.
    • (1982) Operations Research , vol.30 , Issue.4 , pp. 680-708
    • Nahmias, S.1
  • 9
    • 0013545267 scopus 로고
    • Inventory systems of perishable commodities
    • Kaspi H., Perry D. Inventory systems of perishable commodities. Advances in Applied Probability 1983, 15(3):674-685.
    • (1983) Advances in Applied Probability , vol.15 , Issue.3 , pp. 674-685
    • Kaspi, H.1    Perry, D.2
  • 11
    • 82955222625 scopus 로고    scopus 로고
    • Dynamic control of a make-to-order parallel server system with cancellations,
    • B. Ata, M. Rubino, Dynamic control of a make-to-order parallel server system with cancellations, 2009.
    • (2009)
    • Ata, B.1    Rubino, M.2
  • 12
    • 82955166195 scopus 로고    scopus 로고
    • Dynamic scheduling of a two-server parallel server system with complete resource pooling and reneging in heavy traffic
    • asymptotic optimality of a two-threshold policy, Working Paper,
    • S. Ghamami, A.R. Ward, Dynamic scheduling of a two-server parallel server system with complete resource pooling and reneging in heavy traffic: asymptotic optimality of a two-threshold policy, Working Paper, 2010.
    • (2010)
    • Ghamami, S.1    Ward, A.R.2
  • 13
    • 77956395172 scopus 로고    scopus 로고
    • Optimal buffer size and dynamic rate control for a queueing network with impatient customers in heavy traffic
    • Ghosh A.P., Weerasinghe A. Optimal buffer size and dynamic rate control for a queueing network with impatient customers in heavy traffic. Stochsatic Processes and their Applications 2010, 120:2103-2141.
    • (2010) Stochsatic Processes and their Applications , vol.120 , pp. 2103-2141
    • Ghosh, A.P.1    Weerasinghe, A.2
  • 14
    • 14544279564 scopus 로고    scopus 로고
    • Scheduling control for queueing systems with many servers: asymptotic optimality in heavy traffic
    • Atar R. Scheduling control for queueing systems with many servers: asymptotic optimality in heavy traffic. The Annals of Applied Probability 2005, 15(4):2606-2650.
    • (2005) The Annals of Applied Probability , vol.15 , Issue.4 , pp. 2606-2650
    • Atar, R.1
  • 15
    • 14544287797 scopus 로고    scopus 로고
    • A diffusion model of scheduling control in queueing systems with many servers
    • Atar R. A diffusion model of scheduling control in queueing systems with many servers. The Annals of Applied Probability 2005, 15(1B):820-852.
    • (2005) The Annals of Applied Probability , vol.15 , Issue.1 B , pp. 820-852
    • Atar, R.1
  • 16
    • 82955222623 scopus 로고    scopus 로고
    • The cμ/θ rule for many-server queues with abandonment
    • Operations Research, in press).
    • R. Atar, C. Giat, N. Shimkin, The cμ/θ rule for many-server queues with abandonment, Operations Research, 2009 (in press).
    • (2009)
    • Atar, R.1    Giat, C.2    Shimkin, N.3
  • 17
    • 82955228444 scopus 로고    scopus 로고
    • On the asymptotic optimality of the cμ/θ rule under ergodic cost, Working Paper,
    • R. Atar, C. Giat, N. Shimkin, On the asymptotic optimality of the cμ/θ rule under ergodic cost, Working Paper, 2010.
    • (2010)
    • Atar, R.1    Giat, C.2    Shimkin, N.3
  • 18
    • 11244303067 scopus 로고    scopus 로고
    • Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic
    • Atar R., Mandelbaum A., Reiman M.I. Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic. The Annals of Applied Probability 2004, 14(3):1084-1134.
    • (2004) The Annals of Applied Probability , vol.14 , Issue.3 , pp. 1084-1134
    • Atar, R.1    Mandelbaum, A.2    Reiman, M.I.3
  • 19
    • 77951201335 scopus 로고    scopus 로고
    • Service-level differentiation in many-server service systems via queue-ratio routing
    • Gurvich I., Whitt W. Service-level differentiation in many-server service systems via queue-ratio routing. Operations Research 2010, 58(2):316-328.
    • (2010) Operations Research , vol.58 , Issue.2 , pp. 316-328
    • Gurvich, I.1    Whitt, W.2
  • 20
    • 19744380935 scopus 로고    scopus 로고
    • Dynamic scheduling of a multiclass queue in the Halfin and Whitt heavy traffic regime
    • Harrison J.M., Zeevi A. Dynamic scheduling of a multiclass queue in the Halfin and Whitt heavy traffic regime. Operations Research 2004, 52:243-257.
    • (2004) Operations Research , vol.52 , pp. 243-257
    • Harrison, J.M.1    Zeevi, A.2
  • 21
    • 69049086856 scopus 로고    scopus 로고
    • Responding to unexpected overloads in large-scale service systems
    • Perry O., Whitt W. Responding to unexpected overloads in large-scale service systems. Management Science 2009, 55(8):1353-1367.
    • (2009) Management Science , vol.55 , Issue.8 , pp. 1353-1367
    • Perry, O.1    Whitt, W.2
  • 22
    • 77249151776 scopus 로고    scopus 로고
    • Dynamic control of N-systems with many servers: asymptotic optimality of a static priority policy in heavy traffic
    • Tezcan T., Dai J. Dynamic control of N-systems with many servers: asymptotic optimality of a static priority policy in heavy traffic. Operations Research 2010, 58:94-110.
    • (2010) Operations Research , vol.58 , pp. 94-110
    • Tezcan, T.1    Dai, J.2
  • 24
    • 0032672673 scopus 로고    scopus 로고
    • A multiserver queueing system with impatient customers
    • Boots N.K., Tijms H. A multiserver queueing system with impatient customers. Management Science 1999, 45(3):444-448.
    • (1999) Management Science , vol.45 , Issue.3 , pp. 444-448
    • Boots, N.K.1    Tijms, H.2
  • 25
    • 0032656019 scopus 로고    scopus 로고
    • Improving service by informing customers about anticipated delays
    • Whitt W. Improving service by informing customers about anticipated delays. Management Science 1999, 45(2):192-207.
    • (1999) Management Science , vol.45 , Issue.2 , pp. 192-207
    • Whitt, W.1
  • 26
    • 0009685472 scopus 로고
    • The heavy traffic diffusion approximation for sojourn times in Jackson networks
    • Birkhauser, Boston, MA, R.L. Disney, T.J. Ott (Eds.)
    • Reiman M.I. The heavy traffic diffusion approximation for sojourn times in Jackson networks. Applied Probability-Computer Science, The Interface 1982, 409-422. Birkhauser, Boston, MA. R.L. Disney, T.J. Ott (Eds.).
    • (1982) Applied Probability-Computer Science, The Interface , pp. 409-422
    • Reiman, M.I.1
  • 28
    • 0019560371 scopus 로고
    • Heavy-traffic limits for queues with many exponential servers
    • Halfin S., Whitt W. Heavy-traffic limits for queues with many exponential servers. Operations Research 1981, 29(3):567-588.
    • (1981) Operations Research , vol.29 , Issue.3 , pp. 567-588
    • Halfin, S.1    Whitt, W.2
  • 29
    • 0036622829 scopus 로고    scopus 로고
    • Designing a call center with impatient customers
    • Garnett O., Mandelbaum A., Reiman M. Designing a call center with impatient customers. M&SOM 2002, 4(3):208-227.
    • (2002) M&SOM , vol.4 , Issue.3 , pp. 208-227
    • Garnett, O.1    Mandelbaum, A.2    Reiman, M.3
  • 30
    • 0037236333 scopus 로고    scopus 로고
    • A diffusion approximation for a Markovian queue with reneging
    • Ward A.R., Glynn P.W. A diffusion approximation for a Markovian queue with reneging. Queueing Systems 2003, 43:103-128.
    • (2003) Queueing Systems , vol.43 , pp. 103-128
    • Ward, A.R.1    Glynn, P.W.2
  • 33
    • 0000726873 scopus 로고
    • State-dependent queues: approximations and applications
    • Springer, Berlin
    • Mandelbaum A., Pats G. State-dependent queues: approximations and applications. Stochastic Networks 1995, 239-282. Springer, Berlin.
    • (1995) Stochastic Networks , pp. 239-282
    • Mandelbaum, A.1    Pats, G.2
  • 35
  • 37
    • 77957061481 scopus 로고
    • Diffusion approximations
    • Elsevier Science Publishers B.V, North Holland
    • Glynn P.W. Diffusion approximations. Handbooks on OR&MS 1990, vol. 2:145-197. Elsevier Science Publishers B.V, North Holland.
    • (1990) Handbooks on OR&MS , vol.2 , pp. 145-197
    • Glynn, P.W.1
  • 38
    • 82955238374 scopus 로고    scopus 로고
    • A diffusion regime with non-degenerate slowdown, Working Paper,
    • R. Atar, A diffusion regime with non-degenerate slowdown, Working Paper, 2010.
    • (2010)
    • Atar, R.1
  • 39
    • 0010648729 scopus 로고
    • Heavy traffic limit for a mobile phone system loss model, in: Proc. 2nd Internat. Conf.
    • Telecommunication Systems, Modeling, and Anal., Nashville, TN,
    • P.J. Fleming, A. Stoylar, B. Simon, Heavy traffic limit for a mobile phone system loss model, in: Proc. 2nd Internat. Conf. Telecommunication Systems, Modeling, and Anal., Nashville, TN, 1994, pp 158-176.
    • (1994) , pp. 158-176
    • Fleming, P.J.1    Stoylar, A.2    Simon, B.3
  • 41
    • 22244442733 scopus 로고    scopus 로고
    • On the transition densities for reflected diffusions
    • Linetsky V. On the transition densities for reflected diffusions. Advances in Applied Probability 2005, 37:435-460.
    • (2005) Advances in Applied Probability , vol.37 , pp. 435-460
    • Linetsky, V.1
  • 42
    • 0043086152 scopus 로고
    • A duality relation for entrance and exit laws for Markov processes
    • Cox J.T., Rosler U. A duality relation for entrance and exit laws for Markov processes. Stochastic Processes and their Applications 1983, 16:141-156.
    • (1983) Stochastic Processes and their Applications , vol.16 , pp. 141-156
    • Cox, J.T.1    Rosler, U.2
  • 43
    • 0038421700 scopus 로고    scopus 로고
    • Properties of the reflected Ornstein-Uhlenbeck process
    • Ward A.R., Glynn P.W. Properties of the reflected Ornstein-Uhlenbeck process. Queueing Systems 2003, 44:109-123.
    • (2003) Queueing Systems , vol.44 , pp. 109-123
    • Ward, A.R.1    Glynn, P.W.2
  • 45
    • 0000233861 scopus 로고
    • Transient behavior of regulated Brownian motion, I: starting at the origin
    • Abate J., Whitt W. Transient behavior of regulated Brownian motion, I: starting at the origin. Advances in Applied Probability 1987, 19:560-598.
    • (1987) Advances in Applied Probability , vol.19 , pp. 560-598
    • Abate, J.1    Whitt, W.2
  • 46
    • 0000233862 scopus 로고
    • Transient behavior of regulated Brownian motion, II: non-zero initial conditions
    • Abate J., Whitt W. Transient behavior of regulated Brownian motion, II: non-zero initial conditions. Advances in Applied Probability 1987, 19:599-631.
    • (1987) Advances in Applied Probability , vol.19 , pp. 599-631
    • Abate, J.1    Whitt, W.2
  • 47
    • 82955228441 scopus 로고    scopus 로고
    • Spectral gap of the Erlang A model in the Halfin-Whitt regime
    • Working Paper,
    • J.S.H. van Leeuwaarden, C. Knessl, Spectral gap of the Erlang A model in the Halfin-Whitt regime, Working Paper, 2010.
    • (2010)
    • van Leeuwaarden, J.S.H.1    Knessl, C.2
  • 48
    • 82955238377 scopus 로고    scopus 로고
    • Transient behavior of the Halfin-Whitt diffusion, Working Paper,
    • J.S.H. van Leeuwaarden, C. Knessl, Transient behavior of the Halfin-Whitt diffusion, Working Paper, 2008.
    • (2008)
    • van Leeuwaarden, J.S.H.1    Knessl, C.2
  • 49
    • 82955222621 scopus 로고    scopus 로고
    • Qed Q's. Notes from a lecture delivered at the workshop on heavy traffic analysis and process limits of stochastic networks
    • EURANDOM, September,
    • A. Mandelbaum, Qed Q's. Notes from a lecture delivered at the workshop on heavy traffic analysis and process limits of stochastic networks, EURANDOM, September, 2003. http://ie.technion.ac.il/serveng/References/references.html.
    • (2003)
    • Mandelbaum, A.1
  • 50
    • 3142676266 scopus 로고    scopus 로고
    • How multiserver queues scale with growing congestion-dependent demand
    • Whitt W. How multiserver queues scale with growing congestion-dependent demand. Operations Research 2003, 51(4):531-542.
    • (2003) Operations Research , vol.51 , Issue.4 , pp. 531-542
    • Whitt, W.1
  • 51
    • 29144446144 scopus 로고    scopus 로고
    • Design and control of the M/M/N queue with multi-type customers and many servers
    • Master's Thesis, Technion,
    • I. Gurvich, Design and control of the M/M/N queue with multi-type customers and many servers, Master's Thesis, Technion, 2004.
    • (2004)
    • Gurvich, I.1
  • 53
    • 0035539539 scopus 로고    scopus 로고
    • The virtual waiting time of the M/G/1 queue with impatient customers
    • Bae J., Kim S., Lee E.Y. The virtual waiting time of the M/G/1 queue with impatient customers. Queueing Systems 2001, 38:485-494.
    • (2001) Queueing Systems , vol.38 , pp. 485-494
    • Bae, J.1    Kim, S.2    Lee, E.Y.3
  • 54
    • 0001537840 scopus 로고
    • Queueing with impatient customers and ordered service
    • Barrer D.Y. Queueing with impatient customers and ordered service. Operations Research 1957, 5:650-656.
    • (1957) Operations Research , vol.5 , pp. 650-656
    • Barrer, D.Y.1
  • 55
    • 79955933340 scopus 로고    scopus 로고
    • The M/G/1+G queue revisited
    • Boxma O., Perry D., Stadje W. The M/G/1+G queue revisited. Queueing Systems 2011, 67(3):207-220.
    • (2011) Queueing Systems , vol.67 , Issue.3 , pp. 207-220
    • Boxma, O.1    Perry, D.2    Stadje, W.3
  • 56
    • 61549103693 scopus 로고    scopus 로고
    • The M/G/1 queue with quasi-restricted accessibility
    • Boxma O.J., Perry D., Stadje W., Zacks S. The M/G/1 queue with quasi-restricted accessibility. Stochastic Models 2009, 25:151-196.
    • (2009) Stochastic Models , vol.25 , pp. 151-196
    • Boxma, O.J.1    Perry, D.2    Stadje, W.3    Zacks, S.4
  • 57
    • 0032654940 scopus 로고    scopus 로고
    • On the M(n)/M(n)/s queue with impatient calls
    • Brandt A., Brandt M. On the M(n)/M(n)/s queue with impatient calls. Performance Evaluation 1999, 35:1-18.
    • (1999) Performance Evaluation , vol.35 , pp. 1-18
    • Brandt, A.1    Brandt, M.2
  • 58
    • 0036090082 scopus 로고    scopus 로고
    • Asymptotic results and a Markovian approximation for the M(n)/M(n)/s+GI system
    • Brandt A., Brandt M. Asymptotic results and a Markovian approximation for the M(n)/M(n)/s+GI system. Queueing Systems 2002, 41:73-94.
    • (2002) Queueing Systems , vol.41 , pp. 73-94
    • Brandt, A.1    Brandt, M.2
  • 59
    • 0002665972 scopus 로고
    • Deterministic customer impatience in the queueing system GI/M/1
    • Finch P.D. Deterministic customer impatience in the queueing system GI/M/1. Biometrika 1960, 47:45-52.
    • (1960) Biometrika , vol.47 , pp. 45-52
    • Finch, P.D.1
  • 60
    • 0017525627 scopus 로고
    • The Markovian queue with bounded waiting time
    • Gavish B., Schweitzer P.J. The Markovian queue with bounded waiting time. Management Science 1977, 23:1349-1357.
    • (1977) Management Science , vol.23 , pp. 1349-1357
    • Gavish, B.1    Schweitzer, P.J.2
  • 61
    • 0004095972 scopus 로고
    • Introduction to Queueing Theory
    • Israel Program for Scientific Translations, Jerusalem,
    • B.W. Gnedenko, I.N. Kovalenko, Introduction to Queueing Theory, Israel Program for Scientific Translations, Jerusalem, 1968.
    • (1968)
    • Gnedenko, B.W.1    Kovalenko, I.N.2
  • 62
    • 0007304622 scopus 로고
    • On many-server systems with stochastic bounds for the waiting time
    • in Russian
    • Jurkevic O.M. On many-server systems with stochastic bounds for the waiting time. Izvestiya Akademii Nauk SSSR Techniceskaja kibernetika 1971, 4:39-46. in Russian.
    • (1971) Izvestiya Akademii Nauk SSSR Techniceskaja kibernetika , vol.4 , pp. 39-46
    • Jurkevic, O.M.1
  • 63
    • 0032344809 scopus 로고    scopus 로고
    • On queueing with customer impatience until the beginning of service
    • Movaghar A. On queueing with customer impatience until the beginning of service. Queueing Systems 1998, 29:337-350.
    • (1998) Queueing Systems , vol.29 , pp. 337-350
    • Movaghar, A.1
  • 64
    • 21844510317 scopus 로고
    • Rejection rules in the M/G/1 queue
    • Perry D., Asmussen S. Rejection rules in the M/G/1 queue. Queueing Systems 1995, 19:105-130.
    • (1995) Queueing Systems , vol.19 , pp. 105-130
    • Perry, D.1    Asmussen, S.2
  • 65
    • 51249189676 scopus 로고
    • Queueing models with balking and reneging in M/G/1 systems
    • Rao S.S. Queueing models with balking and reneging in M/G/1 systems. Metrika 1967/1968, 6:173-188.
    • (1967) Metrika , vol.6 , pp. 173-188
    • Rao, S.S.1
  • 66
  • 67
    • 24944567414 scopus 로고    scopus 로고
    • A diffusion approximation for a GI/GI/1 queue with balking or reneging
    • Ward A.R., Glynn P.W. A diffusion approximation for a GI/GI/1 queue with balking or reneging. Queueing Systems 2005, 50(4):371-400.
    • (2005) Queueing Systems , vol.50 , Issue.4 , pp. 371-400
    • Ward, A.R.1    Glynn, P.W.2
  • 68
    • 73949131467 scopus 로고    scopus 로고
    • The G/GI/N queue in the Halfin-Whitt regime
    • Reed J.E The G/GI/N queue in the Halfin-Whitt regime. The Annals of Applied Probability 2009, 19(6):2211-2269.
    • (2009) The Annals of Applied Probability , vol.19 , Issue.6 , pp. 2211-2269
    • Reed, J.E.1
  • 69
    • 77953106969 scopus 로고    scopus 로고
    • Queues with many servers and impatient customers
    • Working Paper,
    • A. Mandelbaum, P. Momcilovic, Queues with many servers and impatient customers, Working Paper, 2010.
    • (2010)
    • Mandelbaum, A.1    Momcilovic, P.2
  • 70
  • 71
    • 77953086430 scopus 로고    scopus 로고
    • Customer abandonment in many-server queues
    • Dai J., He S. Customer abandonment in many-server queues. Mathematics of Operations Research 2010, 35:347-362.
    • (2010) Mathematics of Operations Research , vol.35 , pp. 347-362
    • Dai, J.1    He, S.2
  • 72
    • 41249091172 scopus 로고    scopus 로고
    • Approximations for the M/GI/N+GI type call center
    • Iravani F., Balcioglu B. Approximations for the M/GI/N+GI type call center. Queueing Systems 2008, 58:137-153.
    • (2008) Queueing Systems , vol.58 , pp. 137-153
    • Iravani, F.1    Balcioglu, B.2
  • 73
    • 14844304484 scopus 로고    scopus 로고
    • Engineering solution of a basic call center model
    • Whitt W. Engineering solution of a basic call center model. Management Science 2005, 51(2):221-235.
    • (2005) Management Science , vol.51 , Issue.2 , pp. 221-235
    • Whitt, W.1
  • 74
    • 70350295858 scopus 로고    scopus 로고
    • Heavy-traffic limits for waiting times in many-server queues with abandonment
    • Talreja R., Whitt W. Heavy-traffic limits for waiting times in many-server queues with abandonment. The Annals of Applied Probability 2009, 19(6):2137-2175.
    • (2009) The Annals of Applied Probability , vol.19 , Issue.6 , pp. 2137-2175
    • Talreja, R.1    Whitt, W.2
  • 75
    • 29144434014 scopus 로고    scopus 로고
    • Call centers with impatient customers: many-server asymptotics of the M/M/n+G queue
    • Mandelbaum A., Zeltyn S. Call centers with impatient customers: many-server asymptotics of the M/M/n+G queue. Queueing Systems 2005, 51(3/4):361-402.
    • (2005) Queueing Systems , vol.51 , Issue.3-4 , pp. 361-402
    • Mandelbaum, A.1    Zeltyn, S.2
  • 76
    • 33746864541 scopus 로고    scopus 로고
    • Complete corrected diffusion approximations for the maximum of a random walk
    • Blanchet J., Glynn P. Complete corrected diffusion approximations for the maximum of a random walk. The Annals of Applied Probability 2006, 16:951-983.
    • (2006) The Annals of Applied Probability , vol.16 , pp. 951-983
    • Blanchet, J.1    Glynn, P.2
  • 77
    • 46349088318 scopus 로고    scopus 로고
    • Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime
    • Janssen A.J.E.M., van Leeuwaarden J.S.H., Zwart B. Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime. Queueing Systems 2008, 58:261-301.
    • (2008) Queueing Systems , vol.58 , pp. 261-301
    • Janssen, A.J.E.M.1    van Leeuwaarden, J.S.H.2    Zwart, B.3
  • 78
    • 61349192650 scopus 로고    scopus 로고
    • Approximating the GI/GI/1+GI queue with a nonlinear drift diffusion: hazard rate scaling in heavy traffic
    • Reed J.E, Ward A.R. Approximating the GI/GI/1+GI queue with a nonlinear drift diffusion: hazard rate scaling in heavy traffic. Mathematics of Operations Research 2008, 33(3):606-644.
    • (2008) Mathematics of Operations Research , vol.33 , Issue.3 , pp. 606-644
    • Reed, J.E.1    Ward, A.R.2
  • 79
    • 82955238376 scopus 로고    scopus 로고
    • Hazard rate scaling for the GI/M/N+GI queue, Working Paper,
    • J.E Reed, T. Tezcan, Hazard rate scaling for the GI/M/N+GI queue, Working Paper, 2009.
    • (2009)
    • Reed J.E1    Tezcan, T.2
  • 80
    • 82955228440 scopus 로고    scopus 로고
    • Convergence of a queueing system in heavy traffic with general
    • patience-time distributions, Working Paper,
    • C. Lee, A. Weerasinghe, Convergence of a queueing system in heavy traffic with general patience-time distributions, Working Paper, 2011.
    • (2011)
    • Lee, C.1    Weerasinghe, A.2
  • 81
    • 3543131245 scopus 로고    scopus 로고
    • Heavy-traffic limits for loss proportions in single-server queues
    • Whitt W. Heavy-traffic limits for loss proportions in single-server queues. Queueing Systems 2004, 46(3-4):507-536.
    • (2004) Queueing Systems , vol.46 , Issue.3-4 , pp. 507-536
    • Whitt, W.1
  • 82
    • 82955222620 scopus 로고    scopus 로고
    • An overloaded multiclass FIFO queue with abandonments, Operations Research (forthcoming).
    • O. Jennings, J.E Reed, An overloaded multiclass FIFO queue with abandonments, Operations Research (2010) (forthcoming).
    • (2010)
    • Jennings, O.1    Reed, J.E.2
  • 83
    • 33644523065 scopus 로고    scopus 로고
    • Fluid models for multiserver queues with abandonments
    • Whitt W. Fluid models for multiserver queues with abandonments. Operations Research 2006, 54(1):37-54.
    • (2006) Operations Research , vol.54 , Issue.1 , pp. 37-54
    • Whitt, W.1
  • 84
    • 77958060724 scopus 로고    scopus 로고
    • On the accuracy of fluid models for capacity sizing in queueing systems with impatient customers
    • Bassamboo A., Randhawa R.S. On the accuracy of fluid models for capacity sizing in queueing systems with impatient customers. Operations Research 2010, 58(5):1398-1413.
    • (2010) Operations Research , vol.58 , Issue.5 , pp. 1398-1413
    • Bassamboo, A.1    Randhawa, R.S.2
  • 85
    • 77957695286 scopus 로고    scopus 로고
    • Fluid limits of many-server queues with reneging
    • Kang W., Ramanan K. Fluid limits of many-server queues with reneging. The Annals of Applied Probability 2010, 20(6):2204-2260.
    • (2010) The Annals of Applied Probability , vol.20 , Issue.6 , pp. 2204-2260
    • Kang, W.1    Ramanan, K.2
  • 86
    • 78651233746 scopus 로고    scopus 로고
    • Law of large numbers limits for many-server queues
    • Kaspi H., Ramanan K. Law of large numbers limits for many-server queues. The Annals of Applied Probability 2011, 21(1):33-114.
    • (2011) The Annals of Applied Probability , vol.21 , Issue.1 , pp. 33-114
    • Kaspi, H.1    Ramanan, K.2
  • 87
    • 78650468043 scopus 로고    scopus 로고
    • Asymptotic approximations for stationary distributions of many
    • server queues with abandonment, Working Paper,
    • W. Kang, K. Ramanan, Asymptotic approximations for stationary distributions of many-server queues with abandonment, Working Paper, 2010.
    • (2010)
    • Kang, W.1    Ramanan, K.2
  • 89
    • 0001353916 scopus 로고
    • Limit theorems for random walks, birth and death processes, and diffusion processes
    • Stone C. Limit theorems for random walks, birth and death processes, and diffusion processes. Illinois Journal of Mathematics 1963, 7:638-660.
    • (1963) Illinois Journal of Mathematics , vol.7 , pp. 638-660
    • Stone, C.1
  • 90
    • 82955228438 scopus 로고    scopus 로고
    • 4callcenters v2.2.3. Download from .
    • A. Mandelbaum, 4callcenters v2.2.3. Download from http://iew3.technion.ac.il/serveng.
    • Mandelbaum, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.