메뉴 건너뛰기




Volumn 99, Issue 4, 2000, Pages 1415-1438

Nonstationary markovian queues

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0442284473     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02673717     Document Type: Article
Times cited : (14)

References (35)
  • 1
    • 0031573364 scopus 로고    scopus 로고
    • Mixing time for uniformly ergodic Markov chains
    • D. Aldous. L. Lovász, and P. Winkler, "Mixing time for uniformly ergodic Markov chains," Stoch. Proc. Appl, 71, 105-185 (1997).
    • (1997) Stoch. Proc. Appl , vol.71 , pp. 105-185
    • Aldous, D.1    Lovász, L.2    Winkler, P.3
  • 2
    • 0000699604 scopus 로고    scopus 로고
    • Estimation of the spectral gap for Markov chains
    • Ch. Mufa, "Estimation of the spectral gap for Markov chains," Acta Math. Sinica, 12, No. 4, 337-360 (1996).
    • (1996) Acta Math. Sinica , vol.12 , Issue.4 , pp. 337-360
    • Mufa, Ch.1
  • 3
    • 0001262062 scopus 로고
    • 2 convergence of time nonhomogeneous Markov processes: I. Spectral estimates
    • 2 convergence of time nonhomogeneous Markov processes: I. Spectral estimates," Ann. Appl. Probab., 4, No. 4, 1012-1056 (1994).
    • (1994) Ann. Appl. Probab. , vol.4 , Issue.4 , pp. 1012-1056
    • Deuschel, J.-D.1    Mazza, C.2
  • 5
    • 0030487036 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for finite Markov chains
    • P. Diaconis and L. Salloff-Coste, "Logarithmic Sobolev inequalities for finite Markov chains," Ann. Appl. Probab., 6, 095-750 (1996).
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 95-750
    • Diaconis, P.1    Salloff-Coste, L.2
  • 6
    • 21844485889 scopus 로고
    • Diffusion approximation to a queueing system with time dependent arrival and service rates
    • C. A. Di Crescenzo and A. G. Nobile, "Diffusion approximation to a queueing system with time dependent arrival and service rates," QUESTA, 19, 41-62 (1995).
    • (1995) QUESTA , vol.19 , pp. 41-62
    • Di Crescenzo, C.A.1    Nobile, A.G.2
  • 7
    • 0019576911 scopus 로고
    • The transient state probabilities for a queueing model where potential customers are discouraged by queue length
    • E. van Doom, "The transient state probabilities for a queueing model where potential customers are discouraged by queue length," J. Appl. Probab., 18, 499-500 (1981).
    • (1981) J. Appl. Probab. , vol.18 , pp. 499-500
    • Van Doom, E.1
  • 8
    • 0000783136 scopus 로고
    • Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
    • E. van Doom, "Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process," Adv. Appl. Probab., 17, 504-530 (1985).
    • (1985) Adv. Appl. Probab. , vol.17 , pp. 504-530
    • Van Doom, E.1
  • 11
    • 0002590276 scopus 로고
    • Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains with an application to the exclusion process
    • J. A. Fill, "Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains with an application to the exclusion process," Ann. Appl. Probab., 1, No. 1, 02-87 (1991).
    • (1991) Ann. Appl. Probab. , vol.1 , Issue.1 , pp. 2-87
    • Fill, J.A.1
  • 12
    • 0010779279 scopus 로고
    • On the conditions of the existence of final probabilities for a Markov process
    • B. Gnedenko and A. Soloviev, "On the conditions of the existence of final probabilities for a Markov process," Math. Oper. Statist., 4, 379-390 (1973).
    • (1973) Math. Oper. Statist. , vol.4 , pp. 379-390
    • Gnedenko, B.1    Soloviev, A.2
  • 13
    • 0009213987 scopus 로고
    • On some time-nonhomogeneous diffusion approximations to queueing systems
    • V. Giorno and A. Nobile, "On some time-nonhomogeneous diffusion approximations to queueing systems," Adv. Appl. Probab., 19, 974-994 (1987).
    • (1987) Adv. Appl. Probab. , vol.19 , pp. 974-994
    • Giorno, V.1    Nobile, A.2
  • 14
    • 0031521244 scopus 로고    scopus 로고
    • The decay function of nonhomogeneous birth-death processes, with application to mean-field models
    • B. L. Granovsky and A. I. Zeifman, "The decay function of nonhomogeneous birth-death processes, with application to mean-field models," Stoch. Proc. Appl., 72, 105-120 (1997).
    • (1997) Stoch. Proc. Appl. , vol.72 , pp. 105-120
    • Granovsky, B.L.1    Zeifman, A.I.2
  • 16
    • 0001047571 scopus 로고
    • Some effects of nonstationarity on multiserver markovian queueing systems
    • L. Green, P. Kolesar, and A. Svornos, "Some effects of nonstationarity on multiserver markovian queueing systems," Oper. Res., 39, 502-511 (1991).
    • (1991) Oper. Res. , vol.39 , pp. 502-511
    • Green, L.1    Kolesar, P.2    Svornos, A.3
  • 17
    • 0021390136 scopus 로고
    • The asymptotic behavior of queues with time-varying arrival rates
    • D. P. Heyman and W. Whitt, "The asymptotic behavior of queues with time-varying arrival rates," J. Appl. Probab., 21, 143-156 (1984).
    • (1984) J. Appl. Probab. , vol.21 , pp. 143-156
    • Heyman, D.P.1    Whitt, W.2
  • 18
    • 0009212812 scopus 로고
    • Time-dependent queues
    • J. B. Keller, "Time-dependent queues," SIAM Rev., 24, 401-412 (1982).
    • (1982) SIAM Rev. , vol.24 , pp. 401-412
    • Keller, J.B.1
  • 19
    • 0025235814 scopus 로고
    • On the largest negative eigenvalue of the infinitesimal generator associated with M |M | n| n queues
    • M. Kijima, "On the largest negative eigenvalue of the infinitesimal generator associated with M |M | n| n queues," Oper. Res. Lett., 9, 59-64 (1990).
    • (1990) Oper. Res. Lett. , vol.9 , pp. 59-64
    • Kijima, M.1
  • 20
    • 21144472761 scopus 로고
    • Evaluation of the decay parameter for some specialized birth-death processes
    • M. Kijima, "Evaluation of the decay parameter for some specialized birth-death processes," J. Appl. Probab., 29, 781-791 (1992).
    • (1992) J. Appl. Probab. , vol.29 , pp. 781-791
    • Kijima, M.1
  • 21
    • 0001835972 scopus 로고
    • Strong approximations for time-dependent queues
    • A. Mandelbaum and W. Massey, "Strong approximations for time-dependent queues," Math. Oper. Res., 20, 33-64 (1995).
    • (1995) Math. Oper. Res. , vol.20 , pp. 33-64
    • Mandelbaum, A.1    Massey, W.2
  • 22
    • 0022064665 scopus 로고
    • Asymptotic analysis of the time dependent M |M| 1 queue
    • W. A. Massey, "Asymptotic analysis of the time dependent M |M| 1 queue," Math. Oper. Res., 10, 305-327 (1985).
    • (1985) Math. Oper. Res. , vol.10 , pp. 305-327
    • Massey, W.A.1
  • 23
    • 0009160012 scopus 로고
    • On analysis of the modified offered-load approximation for the nonstationary Erlang loss model
    • W. A. Massey and W. Whitt, "On analysis of the modified offered-load approximation for the nonstationary Erlang loss model," Ann. Appl. Probab., 4, 1145-1160 (1994).
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 1145-1160
    • Massey, W.A.1    Whitt, W.2
  • 24
    • 0001408033 scopus 로고
    • On the transient state probabilities for a queueing model where potential customers are discouraged by queue length
    • B. Natvig, "On the transient state probabilities for a queueing model where potential customers are discouraged by queue length," J. Appl. Probab., 11, 345-354 (1974).
    • (1974) J. Appl. Probab. , vol.11 , pp. 345-354
    • Natvig, B.1
  • 25
    • 0040773304 scopus 로고
    • The stationary solution of a multiserver queueing model with discouragement
    • J. E. Reynolds, "The stationary solution of a multiserver queueing model with discouragement," Oper. Res., 16, 64-71 (1968).
    • (1968) Oper. Res. , vol.16 , pp. 64-71
    • Reynolds, J.E.1
  • 26
    • 0018481711 scopus 로고
    • A closure approximation for the nonstationary M |M| s queue
    • M. H. Rothkopf and S. S. Oren, "A closure approximation for the nonstationary M |M| s queue," Management Sci., 25, 522-534 (1979).
    • (1979) Management Sci. , vol.25 , pp. 522-534
    • Rothkopf, M.H.1    Oren, S.S.2
  • 28
    • 3543111482 scopus 로고
    • Stability for continuous-time nonhomogeneous Markov chains
    • A. I. Zeifman, "Stability for continuous-time nonhomogeneous Markov chains," Lect. Notes Math., 1155, 401-414 (1985).
    • (1985) Lect. Notes Math. , vol.1155 , pp. 401-414
    • Zeifman, A.I.1
  • 29
    • 84904777793 scopus 로고
    • Properties of a system with losses in the case of variable rates
    • A. I. Zeifman, "Properties of a system with losses in the case of variable rates," Automat. Rem. Contr., 50, 82-87 (1989).
    • (1989) Automat. Rem. Contr. , vol.50 , pp. 82-87
    • Zeifman, A.I.1
  • 30
    • 0010779280 scopus 로고
    • Qualitative properties of inhomogeneous birth and death processes
    • A. I. Zeifman, "Qualitative properties of inhomogeneous birth and death processes," J. Sov. Math., 3217-3224 (1991).
    • (1991) J. Sov. Math. , pp. 3217-3224
    • Zeifman, A.I.1
  • 31
    • 0001800918 scopus 로고
    • Some estimates of the rate of convergence for birth and death processes
    • A. I. Zeifman, "Some estimates of the rate of convergence for birth and death processes," J. Appl. Probab., 28, 268-277 (1991).
    • (1991) J. Appl. Probab. , vol.28 , pp. 268-277
    • Zeifman, A.I.1
  • 32
    • 0039407552 scopus 로고
    • On strong ergodicity for nonhomogeneous continuous-time Markov chains
    • A. I. Zeifman and D. Isaacson, "On strong ergodicity for nonhomogeneous continuous-time Markov chains," Stoch. Proc. App]., 50, 263-273 (1994).
    • (1994) Stoch. Proc. App. , vol.50 , pp. 263-273
    • Zeifman, A.I.1    Isaacson, D.2
  • 33
    • 0029367778 scopus 로고
    • On the estimation of probabilities for birth and death processes
    • A. I. Zeifman, "On the estimation of probabilities for birth and death processes," J. Appl. Probab., 32, 623-634 (1995).
    • (1995) J. Appl. Probab. , vol.32 , pp. 623-634
    • Zeifman, A.I.1
  • 34
    • 0010910531 scopus 로고
    • Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
    • A. I. Zeifman, "Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes," Stoch. Proc. Appl., 59, 157-173 (1995).
    • (1995) Stoch. Proc. Appl. , vol.59 , pp. 157-173
    • Zeifman, A.I.1
  • 35
    • 54649083861 scopus 로고    scopus 로고
    • Stability of birth and death processes
    • A. I. Zeifman, "Stability of birth and death processes," J. Math. Sci., 91, No. 3 (1998).
    • (1998) J. Math. Sci. , vol.91 , Issue.3
    • Zeifman, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.