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Volumn 89, Issue 2, 1996, Pages 277-284

Optimizing steady state Markov chains by state reduction

Author keywords

Markov processes; Optimization; Queueing; Service systems

Indexed keywords

GRAPH THEORY; OPTIMIZATION; PROBABILITY; QUEUEING THEORY; STATE SPACE METHODS;

EID: 0030574819     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(95)00270-7     Document Type: Article
Times cited : (3)

References (21)
  • 1
    • 0017466168 scopus 로고
    • A classified bibliography of research on optimal queues
    • Crabill, T.B., Gross, D., and Magazine, M.J. (1977), "A classified bibliography of research on optimal queues". Operations Research 25, 219-232.
    • (1977) Operations Research , vol.25 , pp. 219-232
    • Crabill, T.B.1    Gross, D.2    Magazine, M.J.3
  • 2
    • 0001197735 scopus 로고
    • User delay costs and internal pricing for a service facility
    • Dewan, S., and Mendelson, H. (1990), "User delay costs and internal pricing for a service facility", Management Science 36, 1502-1517.
    • (1990) Management Science , vol.36 , pp. 1502-1517
    • Dewan, S.1    Mendelson, H.2
  • 3
    • 0020887727 scopus 로고
    • The convexity of the mean queue size in the M/M/c queue with respect to the traffic intensity
    • Grassmann, W.K. (1983), "The convexity of the mean queue size in the M/M/c queue with respect to the traffic intensity", Journal of Applied Probability 20, 916-919.
    • (1983) Journal of Applied Probability , vol.20 , pp. 916-919
    • Grassmann, W.K.1
  • 4
    • 0022161587 scopus 로고
    • The factorization of queueing equations and their interpretation
    • Grassmann, W.K. (1985), "The factorization of queueing equations and their interpretation", Journal of the Operational Research Society 36, 1041-1051.
    • (1985) Journal of the Operational Research Society , vol.36 , pp. 1041-1051
    • Grassmann, W.K.1
  • 5
    • 0027805760 scopus 로고
    • Rounding errors in certain algorithms involving Markov chains
    • Grassmann, W.K. (1993), "Rounding errors in certain algorithms involving Markov chains", ACM Transactions on Mathematical Software 19, 496-508.
    • (1993) ACM Transactions on Mathematical Software , vol.19 , pp. 496-508
    • Grassmann, W.K.1
  • 7
    • 0000572102 scopus 로고
    • Equilibrium distribution of block-structured Markov chains with repeating rows
    • Grassmann, W.K., and Heyman, D.P. (1990), "Equilibrium distribution of block-structured Markov chains with repeating rows", Journal of Applied Probability 27, 557-576.
    • (1990) Journal of Applied Probability , vol.27 , pp. 557-576
    • Grassmann, W.K.1    Heyman, D.P.2
  • 8
    • 0040539256 scopus 로고
    • Computation of steady-state probabilities for infinite-state Markov chains with repeating rows
    • Grassmann, W.K., and Heyman, D.P. (1993), "Computation of steady-state probabilities for infinite-state Markov chains with repeating rows", ORSA Journal on Computing 5, 292-303.
    • (1993) ORSA Journal on Computing , vol.5 , pp. 292-303
    • Grassmann, W.K.1    Heyman, D.P.2
  • 9
    • 0022131573 scopus 로고
    • Regenerative analysis and steady state distributions for Markov chains
    • Grassmann, W.K., Taksar, M.I., and Heyman, D.P. (1985), "Regenerative analysis and steady state distributions for Markov chains", Operations Research 33, 1107-1116.
    • (1985) Operations Research , vol.33 , pp. 1107-1116
    • Grassmann, W.K.1    Taksar, M.I.2    Heyman, D.P.3
  • 10
    • 0042084652 scopus 로고
    • Convexity of the Erlang loss formula
    • Harel, A. (1990), "Convexity of the Erlang loss formula", Operations Research 19, 1193-1206",
    • (1990) Operations Research , vol.19 , pp. 1193-1206
    • Harel, A.1
  • 11
    • 0000606687 scopus 로고
    • Further comparisons of direct methods for computing stationary distributions of Markov chains
    • Heyman, D.P. (1987), "Further comparisons of direct methods for computing stationary distributions of Markov chains", SIAM Journal for Algebraic and Discrete Methods 8, 226-232.
    • (1987) SIAM Journal for Algebraic and Discrete Methods , vol.8 , pp. 226-232
    • Heyman, D.P.1
  • 12
    • 0002443046 scopus 로고
    • Numerical solutions arising in Markov chain models
    • Heyman, D.P., and Reeves, A. (1989), "Numerical solutions arising in Markov chain models", ORSA Journal on Computing 1, 52-60.
    • (1989) ORSA Journal on Computing , vol.1 , pp. 52-60
    • Heyman, D.P.1    Reeves, A.2
  • 13
    • 0042585695 scopus 로고
    • Economic models for waiting time problems
    • Hillier, F.S. (1963), "Economic models for waiting time problems", Management Science 10, 119-130.
    • (1963) Management Science , vol.10 , pp. 119-130
    • Hillier, F.S.1
  • 14
    • 0026174756 scopus 로고
    • Using state reduction for computing steady state probabilities of queues of G1/PH/1 types
    • Kao, E.P.C. (1991), "Using state reduction for computing steady state probabilities of queues of G1/PH/1 types", ORSA Journal on Computing 3, 231-240.
    • (1991) ORSA Journal on Computing , vol.3 , pp. 231-240
    • Kao, E.P.C.1
  • 15
    • 0043086409 scopus 로고
    • The M/M/1 queue with randomly varying arrival rates: A phase substitution approach
    • Kao, E.P.C., and Lin, C. (1989a), "The M/M/1 queue with randomly varying arrival rates: A phase substitution approach", Management Science 35, 561-570.
    • (1989) Management Science , vol.35 , pp. 561-570
    • Kao, E.P.C.1    Lin, C.2
  • 16
    • 0042084653 scopus 로고
    • Computing the R matrices in matrix-geometric solutions for a class of QBD queues: A phase substitution approach
    • Kao, E.P.C., and Lin, C. (1989b), "Computing the R matrices in matrix-geometric solutions for a class of QBD queues: A phase substitution approach", Stochastic Models 5, 629-643.
    • (1989) Stochastic Models , vol.5 , pp. 629-643
    • Kao, E.P.C.1    Lin, C.2
  • 17
    • 21144460955 scopus 로고
    • Entrywise perturbation theory and error analysis for Markov chains
    • O'Cinneide, (1993), "Entrywise perturbation theory and error analysis for Markov chains", Numerische Mathematik 65, 109-120.
    • (1993) Numerische Mathematik , vol.65 , pp. 109-120
  • 18
    • 0001915826 scopus 로고
    • On a direct method for the solution of nearly uncoupled Markov chains
    • Stewart, G.W., and Zhang, G. (1991), "On a direct method for the solution of nearly uncoupled Markov chains", Numerische Mathematik 59, 1-11.
    • (1991) Numerische Mathematik , vol.59 , pp. 1-11
    • Stewart, G.W.1    Zhang, G.2
  • 20
    • 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", Journal of the Operational Research Society 44, 407-414.
    • (1993) Journal of the Operational Research Society , vol.44 , pp. 407-414
    • Van Ackere, A.1    Ninios, P.2
  • 21
    • 0038249942 scopus 로고
    • Capacity management: Pricing strategy, performance and the role of information
    • van Ackere, A. (1995), "Capacity management: Pricing strategy, performance and the role of information", International Journal of Production Economics 40, 89-100.
    • (1995) International Journal of Production Economics , vol.40 , pp. 89-100
    • Van Ackere, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.