메뉴 건너뛰기




Volumn 60, Issue SUPPL. 1, 2009, Pages

Reflections on queue modelling from the last 50 years

Author keywords

Queueing models; Queueing theory; Simulation

Indexed keywords

OPERATIONS RESEARCH; RESEARCH;

EID: 64749113835     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/jors.2008.178     Document Type: Article
Times cited : (37)

References (65)
  • 1
    • 0018492366 scopus 로고
    • A numerical method for evaluating delay to a customer in a time-inhomogeneous, single server queue with batch arrivals
    • Alfa AS (1979). A numerical method for evaluating delay to a customer in a time-inhomogeneous, single server queue with batch arrivals. J OpI Res Soc 30: 665-667.
    • (1979) J OpI Res Soc , vol.30 , pp. 665-667
    • Alfa, A.S.1
  • 2
    • 0037723106 scopus 로고    scopus 로고
    • Generalised 'join the shortest queue' policies for the dynamic routing of jobs to multi-class queues
    • Ansell PS, Glazebrook KD and Kirkbride C (2003). Generalised 'join the shortest queue' policies for the dynamic routing of jobs to multi-class queues. J Opl Res Soc 54: 379-389.
    • (2003) J Opl Res Soc , vol.54 , pp. 379-389
    • Ansell, P.S.1    Glazebrook, K.D.2    Kirkbride, C.3
  • 4
    • 0029273899 scopus 로고
    • The general two-server queueing loss system: Discrete-time analysis and numerical approximation of continuoustime systems
    • Atkinson JB (1995). The general two-server queueing loss system: Discrete-time analysis and numerical approximation of continuoustime systems. J Opl Res Soc 46: 386-397.
    • (1995) J Opl Res Soc , vol.46 , pp. 386-397
    • Atkinson, J.B.1
  • 5
    • 0001513373 scopus 로고
    • A study of queues and appointment systems in hospital out-patient departments, with special reference to waitingtimes
    • Bailey NTJ (1952). A study of queues and appointment systems in hospital out-patient departments, with special reference to waitingtimes. J Roy Stat Soc Ser B 14: 185-199.
    • (1952) J Roy Stat Soc Ser B , vol.14 , pp. 185-199
    • Bailey, N.T.J.1
  • 6
    • 64749107140 scopus 로고
    • Operational research, in hospital planning and design
    • Bailey NTJ (1957). Operational research, in hospital planning and design. Opl Res Q 8: 149-157.
    • (1957) Opl Res Q , vol.8 , pp. 149-157
    • Bailey, N.T.J.1
  • 7
    • 25744451012 scopus 로고
    • Sixty years of queueing theory
    • Bhat UN (1969). Sixty years of queueing theory. Mngt Sci 15: B280-B294.
    • (1969) Mngt Sci , vol.15
    • Bhat, U.N.1
  • 8
    • 0018480516 scopus 로고
    • Approximation techniques in the solution of queueing problems
    • Bhat UN, Shalaby M and Fischer MJ (1979). Approximation techniques in the solution of queueing problems. Nav Res Log Q 26: 311-326.
    • (1979) Nav Res Log Q , vol.26 , pp. 311-326
    • Bhat, U.N.1    Shalaby, M.2    Fischer, M.J.3
  • 9
    • 21144470797 scopus 로고
    • A review of open queueing network. models of manufacturing systems
    • Bitran GR and Dasu S (1992). A review of open queueing network. models of manufacturing systems. Queueing Syst Theory Appl 12: 95-134.
    • (1992) Queueing Syst Theory Appl , vol.12 , pp. 95-134
    • Bitran, G.R.1    Dasu, S.2
  • 10
    • 0026221068 scopus 로고
    • Queueing models for outpatient appointment systems - a case study
    • Brahimi M and Worthington DJ (1991). Queueing models for outpatient appointment systems - a case study. J Opl Res Soc 42: 733-746.
    • (1991) J Opl Res Soc , vol.42 , pp. 733-746
    • Brahimi, M.1    Worthington, D.J.2
  • 15
    • 9744255510 scopus 로고    scopus 로고
    • A new model for call centre queue management
    • Chassioti E and Worthington DJ (2004). A new model for call centre queue management. J Opl Res Soc 55: 1352-1357.
    • (2004) J Opl Res Soc , vol.55 , pp. 1352-1357
    • Chassioti, E.1    Worthington, D.J.2
  • 16
    • 0017108015 scopus 로고
    • x/c with charts and tables for certain measures of efficiency
    • x/c with charts and tables for certain measures of efficiency. Opl Res Q 27: 733-745.
    • (1976) Opl Res Q , vol.27 , pp. 733-745
    • Cromie, M.V.1    Chaudhry, M.L.2
  • 17
    • 20444486157 scopus 로고    scopus 로고
    • A static allocation model for the outsourcing of warranty repairs
    • Ding L and Glazebrook KD (2005). A static allocation model for the outsourcing of warranty repairs. J Opns Res Soc 56: 825-835.
    • (2005) J Opns Res Soc , vol.56 , pp. 825-835
    • Ding, L.1    Glazebrook, K.D.2
  • 18
    • 41549093134 scopus 로고    scopus 로고
    • Allocation models and heuristics for the outsourcing of repairs for a dynamic warranty population
    • Ding L, Glazebrook KD and Kirkbride C (2008). Allocation models and heuristics for the outsourcing of repairs for a dynamic warranty population. Mngt Sci 54: 594-607.
    • (2008) Mngt Sci , vol.54 , pp. 594-607
    • Ding, L.1    Glazebrook, K.D.2    Kirkbride, C.3
  • 19
    • 84974857094 scopus 로고
    • How useful are queue models in port investment decisions for container berths?
    • Edmond ED and Maggs RP (1978). How useful are queue models in port investment decisions for container berths? J Opl Res Soc 29: 741-750.
    • (1978) J Opl Res Soc , vol.29 , pp. 741-750
    • Edmond, E.D.1    Maggs, R.P.2
  • 20
    • 0000594892 scopus 로고
    • The physics of the Mt/G/∞ queue
    • Eick SG, Massey WA and Whitt W (1993). The physics of the Mt/G/∞ queue. Opns Res 41: 731-742.
    • (1993) Opns Res , vol.41 , pp. 731-742
    • Eick, S.G.1    Massey, W.A.2    Whitt, W.3
  • 21
    • 64749106787 scopus 로고
    • The use of closed queues in the deployment of coal-face machinery
    • Faulkner JA (1968). The use of closed queues in the deployment of coal-face machinery. Opl Res Q 19: 15-23.
    • (1968) Opl Res Q , vol.19 , pp. 15-23
    • Faulkner, J.A.1
  • 22
    • 41549108835 scopus 로고    scopus 로고
    • Staffing of time-varying queues to achieve time-stable performance
    • Feldman Z, Mandelbaum A, Massey WA and Whitt W (2008). Staffing of time-varying queues to achieve time-stable performance. Mngt Sci 54: 324-338.
    • (2008) Mngt Sci , vol.54 , pp. 324-338
    • Feldman, Z.1    Mandelbaum, A.2    Massey, W.A.3    Whitt, W.4
  • 23
    • 36248979063 scopus 로고    scopus 로고
    • The DH accident and emergency department model: A national generic model used locally
    • Fletcher A, Halsall D, Huxham S and Worthington D (2007). The DH accident and emergency department model: A national generic model used locally. J Opl Res Soc 58: 1554-1562.
    • (2007) J Opl Res Soc , vol.58 , pp. 1554-1562
    • Fletcher, A.1    Halsall, D.2    Huxham, S.3    Worthington, D.4
  • 24
    • 0037565606 scopus 로고
    • Transient solutions in markovian queues: An algorithm for finding them and determining their waiting-time distributions
    • Grassmann W (1977). Transient solutions in markovian queues: An algorithm for finding them and determining their waiting-time distributions. Eur J Opl Res 1: 396-402.
    • (1977) Eur J Opl Res , vol.1 , pp. 396-402
    • Grassmann, W.1
  • 25
    • 64749087981 scopus 로고
    • The simulation of some simple control policies for a signalized intersection
    • Green DH and Hartley MG (1966). The simulation of some simple control policies for a signalized intersection. Opl Res Q 17: 263-277.
    • (1966) Opl Res Q , vol.17 , pp. 263-277
    • Green, D.H.1    Hartley, M.G.2
  • 26
    • 34249736856 scopus 로고    scopus 로고
    • Coping with time-varying demand when setting staffing requirements for a service system
    • Green LV, Kolesar PJ and Whitt W (2007). Coping with time-varying demand when setting staffing requirements for a service system. Product Opn Mngt 16: 13-39.
    • (2007) Product Opn Mngt , vol.16 , pp. 13-39
    • Green, L.V.1    Kolesar, P.J.2    Whitt, W.3
  • 27
    • 0029408548 scopus 로고
    • Queueing at the Suez Canal
    • Griffiths JD (1995). Queueing at the Suez Canal. J Opl Res Soc 46: 1299-1309.
    • (1995) J Opl Res Soc , vol.46 , pp. 1299-1309
    • Griffiths, J.D.1
  • 30
    • 13444301661 scopus 로고    scopus 로고
    • Modelling the requirement for supplementary nurses in an intensive care unit
    • Griffiths JD, Price-Lloyd N, Smithies M and Williams JE (2005). Modelling the requirement for supplementary nurses in an intensive care unit. J Opl Res Soc 56: 126-133.
    • (2005) J Opl Res Soc , vol.56 , pp. 126-133
    • Griffiths, J.D.1    Price-Lloyd, N.2    Smithies, M.3    Williams, J.E.4
  • 31
    • 0017662134 scopus 로고
    • Planning emergency ambulance services
    • Groom KN (1977). Planning emergency ambulance services. Opl Res Q 28: 641-651.
    • (1977) Opl Res Q , vol.28 , pp. 641-651
    • Groom, K.N.1
  • 33
    • 0030150232 scopus 로고    scopus 로고
    • Analysis of open discrete time queueing networks: A refined decomposition approach
    • Hasslinger G and Rieger ES (1996). Analysis of open discrete time queueing networks: A refined decomposition approach. J Opl Res Soc 47: 640-653.
    • (1996) J Opl Res Soc , vol.47 , pp. 640-653
    • Hasslinger, G.1    Rieger, E.S.2
  • 34
    • 0000637360 scopus 로고
    • Networks of waiting lines
    • Jackson JR (1957). Networks of waiting lines. Opns Res 5: 518-521.
    • (1957) Opns Res , vol.5 , pp. 518-521
    • Jackson, J.R.1
  • 35
    • 0001930641 scopus 로고
    • Jobshop-like queueing systems
    • Jackson JR (1963). Jobshop-like queueing systems. Mngt Sci 10: 131-142.
    • (1963) Mngt Sci , vol.10 , pp. 131-142
    • Jackson, J.R.1
  • 36
    • 0000910222 scopus 로고
    • Queueing systems with phase type service
    • Jackson RRP (1954). Queueing systems with phase type service. Opl Res Q 5: 109-120.
    • (1954) Opl Res Q , vol.5 , pp. 109-120
    • Jackson, R.R.P.1
  • 37
    • 0042945097 scopus 로고
    • Random queueing processes with phase-type service
    • Jackson RRP (1956). Random queueing processes with phase-type service. J Roy Stat Soc Ser B 18: 129-132.
    • (1956) J Roy Stat Soc Ser B , vol.18 , pp. 129-132
    • Jackson, R.R.P.1
  • 38
    • 0001103026 scopus 로고
    • Appointment systems in hospitals and general practice: Design of an appointments system
    • Jackson RRP, Welch JD and Fry J (1964). Appointment systems in hospitals and general practice: Design of an appointments system. Opl Res Q 15: 219-237.
    • (1964) Opl Res Q , vol.15 , pp. 219-237
    • Jackson, R.R.P.1    Welch, J.D.2    Fry, J.3
  • 39
    • 0033100644 scopus 로고    scopus 로고
    • Cost analysis of the M/M/R machine repair problem with balking, reneging, and server breakdowns
    • Ke JC and Wang KH (1999). Cost analysis of the M/M/R machine repair problem with balking, reneging, and server breakdowns. J Opl Res Soc 50: 275-282.
    • (1999) J Opl Res Soc , vol.50 , pp. 275-282
    • Ke, J.C.1    Wang, K.H.2
  • 40
    • 0022487641 scopus 로고
    • Predicting time-dependent distributions of queues and delays for road traffic at roundabouts and priority junctions
    • Kimber RM, Daly P, Barton J and Giokas C (1986). Predicting time-dependent distributions of queues and delays for road traffic at roundabouts and priority junctions. J Opl Res Soc 37: 87-97.
    • (1986) J Opl Res Soc , vol.37 , pp. 87-97
    • Kimber, R.M.1    Daly, P.2    Barton, J.3    Giokas, C.4
  • 41
    • 0020157474 scopus 로고
    • Twenty five years of cyclic queues and closed queue networks: A review
    • Koenigsberg E (1982). Twenty five years of cyclic queues and closed queue networks: A review. J Opl Res Soc 33: 605-619.
    • (1982) J Opl Res Soc , vol.33 , pp. 605-619
    • Koenigsberg, E.1
  • 42
    • 41549140003 scopus 로고    scopus 로고
    • Special issue on call center management
    • Koole G (2008). Special issue on call center management. Mngt Sci 54: 237.
    • (2008) Mngt Sci , vol.54 , pp. 237
    • Koole, G.1
  • 43
    • 0019079723 scopus 로고
    • An application of queueing theory to a teletraffic problem
    • Lawrie NL (1980). An application of queueing theory to a teletraffic problem. J Opl Res Soc 31: 975-981.
    • (1980) J Opl Res Soc , vol.31 , pp. 975-981
    • Lawrie, N.L.1
  • 44
    • 0343076621 scopus 로고
    • Queueing processes associated with airline passenger check-in
    • Lee AM and Longton PA (1959). Queueing processes associated with airline passenger check-in. Opl Res Q 10: 56-71.
    • (1959) Opl Res Q , vol.10 , pp. 56-71
    • Lee, A.M.1    Longton, P.A.2
  • 45
    • 0032365189 scopus 로고    scopus 로고
    • Performance evaluation of open queueing networks with arbitrary configuration and finite buffers
    • Lee HS, Bouhehouch A, Dallery Y and Frein Y (1998). Performance evaluation of open queueing networks with arbitrary configuration and finite buffers. Ann Opns Res 79: 181-206.
    • (1998) Ann Opns Res , vol.79 , pp. 181-206
    • Lee, H.S.1    Bouhehouch, A.2    Dallery, Y.3    Frein, Y.4
  • 46
    • 21144482469 scopus 로고
    • Networks of infinite-server queues with nonstationary Poisson input
    • Massey WA and Whitt W (1993). Networks of infinite-server queues with nonstationary Poisson input. Queueing Syst 13: 183-250.
    • (1993) Queueing Syst , vol.13 , pp. 183-250
    • Massey, W.A.1    Whitt, W.2
  • 47
    • 0023437172 scopus 로고
    • Resource inputs and performance outputs in social security offices
    • Mayhew LD (1987). Resource inputs and performance outputs in social security offices. J Opl Res Soc 38: 913-928.
    • (1987) J Opl Res Soc , vol.38 , pp. 913-928
    • Mayhew, L.D.1
  • 48
    • 84995022909 scopus 로고
    • Computational uses of the method of phases in the theory of queues
    • Neuts MF (1975). Computational uses of the method of phases in the theory of queues. Comput Math Appl 1: 151-166.
    • (1975) Comput Math Appl , vol.1 , pp. 151-166
    • Neuts, M.F.1
  • 49
    • 0021201688 scopus 로고
    • Matrix-analytic methods in queueing theory
    • Neuts MF (1984). Matrix-analytic methods in queueing theory. Eur J Opl Res 15: 2-12.
    • (1984) Eur J Opl Res , vol.15 , pp. 2-12
    • Neuts, M.F.1
  • 51
    • 0023296004 scopus 로고
    • Simulation of a fast-food operation where dissatisfied customers renege
    • Parkan C (1987). Simulation of a fast-food operation where dissatisfied customers renege. J Opl Res Soc 38: 137-148.
    • (1987) J Opl Res Soc , vol.38 , pp. 137-148
    • Parkan, C.1
  • 54
    • 0141680813 scopus 로고    scopus 로고
    • Operational research for informed innovation: NHS Direct as a case study in the design, implementation and evaluation of a new public service
    • Royston G, Halsall J, Halsall D and Braithwaite C (2003). Operational research for informed innovation: NHS Direct as a case study in the design, implementation and evaluation of a new public service. J Opl Res Soc 54: 1022-1028.
    • (2003) J Opl Res Soc , vol.54 , pp. 1022-1028
    • Royston, G.1    Halsall, J.2    Halsall, D.3    Braithwaite, C.4
  • 55
    • 0008448418 scopus 로고
    • Seven more years of queues. A lament and a bibliography
    • Saaty TL (1966). Seven more years of queues. A lament and a bibliography. Nav Res Log Q 13: 447-476.
    • (1966) Nav Res Log Q , vol.13 , pp. 447-476
    • Saaty, T.L.1
  • 56
    • 33846892242 scopus 로고    scopus 로고
    • Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations
    • Samanta SK, Gupta UC and Sharma RK (2007). Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations. j Opl Res Soc 58: 368-377.
    • (2007) j Opl Res Soc , vol.58 , pp. 368-377
    • Samanta, S.K.1    Gupta, U.C.2    Sharma, R.K.3
  • 58
    • 0008906045 scopus 로고
    • An application of the birth and death process to the provision of spare machines
    • Taylor J and Jackson RRP (1954). An application of the birth and death process to the provision of spare machines. Opl Res Q 5: 95-108.
    • (1954) Opl Res Q , vol.5 , pp. 95-108
    • Taylor, J.1    Jackson, R.R.P.2
  • 59
    • 0027577012 scopus 로고
    • Simulation and queueing theory applied to a single-server queue with advertising and balking
    • van Ackere A and Ninios P (1993). Simulation and queueing theory applied to a single-server queue with advertising and balking. J Opl Res Soc 44: 407-414.
    • (1993) J Opl Res Soc , vol.44 , pp. 407-414
    • van Ackere, A.1    Ninios, P.2
  • 60
    • 0028698196 scopus 로고
    • Using discrete distributions to approximate general service time distributions in queueing models
    • Wall AD and Worthington DJ (1994). Using discrete distributions to approximate general service time distributions in queueing models. J Opl Res Soc 45: 1398-1404.
    • (1994) J Opl Res Soc , vol.45 , pp. 1398-1404
    • Wall, A.D.1    Worthington, D.J.2
  • 61
    • 0020848139 scopus 로고
    • The main paper: The queueing network analyzer
    • Whitt W (1983). The main paper: The queueing network analyzer. Bell Syst Tech J 92: 2779-2815.
    • (1983) Bell Syst Tech J , vol.92 , pp. 2779-2815
    • Whitt, W.1
  • 62
    • 33644523065 scopus 로고    scopus 로고
    • Fluid models for multiserver queues with abandonments
    • Whitt W (2006). Fluid models for multiserver queues with abandonments. Opns Res 54: 37-54.
    • (2006) Opns Res , vol.54 , pp. 37-54
    • Whitt, W.1
  • 63
    • 0141754350 scopus 로고
    • Nonpreemptive multi-server priority queues
    • Williams TM (1980). Nonpreemptive multi-server priority queues. J Opl Res Soc 31: 1105-1107.
    • (1980) J Opl Res Soc , vol.31 , pp. 1105-1107
    • Williams, T.M.1
  • 64
    • 0023341611 scopus 로고
    • Queueing models for hospital waiting lists
    • Worthington DJ (1987). Queueing models for hospital waiting lists. J Opl Res Soc 38: 413-422.
    • (1987) J Opl Res Soc , vol.38 , pp. 413-422
    • Worthington, D.J.1
  • 65
    • 0032658237 scopus 로고    scopus 로고
    • Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems
    • Worthington D and Wall A. (1999). Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems. J Opl Res Soc 50: 777-788.
    • (1999) J Opl Res Soc , vol.50 , pp. 777-788
    • Worthington, D.1    Wall, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.