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Volumn 212, Issue 1, 2011, Pages 131-140

Finite horizon semi-Markov decision processes with application to maintenance systems

Author keywords

Dynamic programming; Finite horizon semi Markov decision processes; Optimal policy; Optimality equation; Value function

Indexed keywords

COST RATES; EFFECTIVE ALGORITHMS; FINITE HORIZONS; MAINTENANCE SYSTEMS; NON-NEGATIVE SOLUTIONS; OPTIMAL POLICIES; OPTIMAL POLICY; OPTIMALITY; OPTIMALITY EQUATION; PLANNING HORIZONS; SEMI-MARKOV DECISION PROCESS; VALUE FUNCTION; VALUE FUNCTIONS;

EID: 79952700174     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2011.01.027     Document Type: Article
Times cited : (31)

References (30)
  • 2
    • 0008209821 scopus 로고    scopus 로고
    • second ed. Harcourt/Academic Press Burlington, MA
    • R.B. Ash Probability and Measure Theory second ed. 2000 Harcourt/Academic Press Burlington, MA
    • (2000) Probability and Measure Theory
    • Ash, R.B.1
  • 4
    • 0038631988 scopus 로고    scopus 로고
    • Semi-Markov decision problems and performance sensitivity analysis
    • X.R. Cao Semi-Markov decision problems and performance sensitivity analysis IEEE Transactions on Automatic Control 48 2003 758 769
    • (2003) IEEE Transactions on Automatic Control , vol.48 , pp. 758-769
    • Cao, X.R.1
  • 5
    • 77957696846 scopus 로고    scopus 로고
    • Mean time to failure and availability of semi-Markov missions with maximal repair
    • B. Cekyay, and S. Ozekici Mean time to failure and availability of semi-Markov missions with maximal repair European Journal Operational Research 207 2010 1442 1454
    • (2010) European Journal Operational Research , vol.207 , pp. 1442-1454
    • Cekyay, B.1    Ozekici, S.2
  • 6
    • 4043163559 scopus 로고    scopus 로고
    • Continuous time discounted jump Markov decision processes: A discrete-event approach
    • E.A. Feinberg Continuous time discounted jump Markov decision processes: A discrete-event approach Mathematics of Operations Research 29 2004 492 524
    • (2004) Mathematics of Operations Research , vol.29 , pp. 492-524
    • Feinberg, E.A.1
  • 7
    • 0023537263 scopus 로고
    • Semi-Markov dynamic programming approach to competitive bidding with state space reduction considerations
    • S. Gunter, and L. Swanson Semi-Markov dynamic programming approach to competitive bidding with state space reduction considerations European Journal of Operational Research 32 1987 435 447 (Pubitemid 18530953)
    • (1987) European Journal of Operational Research , vol.32 , Issue.3 , pp. 435-447
    • Gunter Sevket1    Swanson Lloyd2
  • 10
    • 67649870308 scopus 로고    scopus 로고
    • Optimal risk probability for first passage models in semi-Markov decision processes
    • Y. Huang, and X. Guo Optimal risk probability for first passage models in semi-Markov decision processes Journal of Mathematical Analysis and Applications 359 2009 404 420
    • (2009) Journal of Mathematical Analysis and Applications , vol.359 , pp. 404-420
    • Huang, Y.1    Guo, X.2
  • 11
    • 79952695026 scopus 로고    scopus 로고
    • Discounted semi-Markov decision processes with nonnegative costs
    • Y. Huang, and X. Guo Discounted semi-Markov decision processes with nonnegative costs Acta Mathematica Sinica (Chinese Series) 53 2010 503 514
    • (2010) Acta Mathematica Sinica (Chinese Series) , vol.53 , pp. 503-514
    • Huang, Y.1    Guo, X.2
  • 12
    • 79952542715 scopus 로고    scopus 로고
    • Passage models for denumerable semi-Markov decision processes with nonnegative discounted
    • Y. Huang, X. Guo, and First passage models for denumerable semi-Markov decision processes with nonnegative discounted costs Acta Mathematicae Applicatae Sinica 27 2011 263 276
    • (2011) Acta Mathematicae Applicatae Sinica , vol.27 , pp. 263-276
    • Huang, Y.1    Guo, X.2    Costs, F.3
  • 13
    • 0034774716 scopus 로고    scopus 로고
    • An approximation approach to ergodic semi-Markov control processes
    • DOI 10.1007/s001860000079
    • A. Jaskiewicz An approximation approach to ergodic semi-Markov control processes Mathematical Methods in the Applied Sciences 54 2001 1 19 (Pubitemid 32991764)
    • (2001) Mathematical Methods of Operations Research , vol.54 , Issue.1 , pp. 1-19
    • Jaskiewicz, A.1
  • 14
    • 4043062801 scopus 로고    scopus 로고
    • On the equivalence of two expected average cost criteria for semi-Markov control processes
    • A. Jaskiewicz On the equivalence of two expected average cost criteria for semi-Markov control processes Mathematics of Operations Research 29 2004 326 338
    • (2004) Mathematics of Operations Research , vol.29 , pp. 326-338
    • Jaskiewicz, A.1
  • 15
    • 33747360413 scopus 로고    scopus 로고
    • Optimality in Feller semi-Markov control processes
    • A. Jaskiewicz, and A.S. Nowak Optimality in Feller semi-Markov control processes Operations Research Letters 34 2006 713 718
    • (2006) Operations Research Letters , vol.34 , pp. 713-718
    • Jaskiewicz, A.1    Nowak, A.S.2
  • 17
    • 33751190296 scopus 로고    scopus 로고
    • Existence of optimal policies for semi-markov decision processes using duality for infinite linear programming
    • DOI 10.1137/S0363012903437290
    • D. Klabjan, and D. Adelman Existence of optimal policies for semi-Markov decision processes using duality for infinite linear programming SIAM Journal on Control and Optimization 44 2006 2104 2122 (Pubitemid 44775253)
    • (2006) SIAM Journal on Control and Optimization , vol.44 , Issue.6 , pp. 2104-2122
    • Klabjan, D.1    Adelman, D.2
  • 18
    • 38549134525 scopus 로고    scopus 로고
    • An infinite-dimensional linear programming algorithm for deterministic semi-Markov decision processes on borel spaces
    • DOI 10.1287/moor.1070.0252
    • D. Klabjan, and D. Adelman An infinite-dimensional linear programming algorithm for deterministic semi-Markov decision processes on Borel spaces Mathematics of Operations Research 32 2007 528 550 (Pubitemid 351159467)
    • (2007) Mathematics of Operations Research , vol.32 , Issue.3 , pp. 528-550
    • Klabjan, D.1    Adelman, D.2
  • 20
    • 0033701507 scopus 로고    scopus 로고
    • A discrete semi-Markov decision model to determine the optimal repair/replacement policy under general repairs
    • C.E. Love, Z.G. Zhang, M.A. Zitron, and R. Guo A discrete semi-Markov decision model to determine the optimal repair/replacement policy under general repairs European Journal of Operational Research 125 2000 398 409
    • (2000) European Journal of Operational Research , vol.125 , pp. 398-409
    • Love, C.E.1    Zhang, Z.G.2    Zitron, M.A.3    Guo, R.4
  • 21
    • 23744458323 scopus 로고    scopus 로고
    • Semi-Markov control processes with unknown holding times distribution under a discounted criterion
    • DOI 10.1007/s001860400406
    • F. Luque-Vasquez, and J.A. Minjarez-Sosa Semi-Markov control processes with unknown holding times distribution under a discounted criterion Mathematical Methods of Operations Research 61 2005 455 468 (Pubitemid 41118345)
    • (2005) Mathematical Methods of Operations Research , vol.61 , Issue.3 , pp. 455-468
    • Luque-Vasquez, F.1    Minjarez-Sosa, J.A.2
  • 22
    • 0022749625 scopus 로고
    • Successive approximations for finite horizon semi-Markov decision processes with application to asset liquidation
    • J.W. Mamer Successive approximations for finite horizon semi-Markov decision processes with application to asset liquidation Operational Research 34 1986 638 644
    • (1986) Operational Research , vol.34 , pp. 638-644
    • Mamer, J.W.1
  • 23
    • 33748421291 scopus 로고    scopus 로고
    • Finding the K best policies in a finite-horizon Markov decision process
    • DOI 10.1016/j.ejor.2005.06.011, PII S037722170500514X
    • L.R. Nielsen, and A.R. Kristensen Finding the K best policies in a finite-horizon Markov decision process European Journal Operational Research 175 2006 1164 1179 (Pubitemid 44345078)
    • (2006) European Journal of Operational Research , vol.175 , Issue.2 , pp. 1164-1179
    • Nielsen, L.R.1    Kristensen, A.R.2
  • 24
    • 0031461758 scopus 로고    scopus 로고
    • Solution of a discounted semi-Markovian decision problem by successive overrelaxation
    • V. Nollau Solution of a discounted semi-Markovian decision problem by successive overrelaxation Optimization 39 1997 85 97
    • (1997) Optimization , vol.39 , pp. 85-97
    • Nollau, V.1
  • 26
    • 0000669065 scopus 로고
    • Average cost semi-Markov decision processes
    • S.M. Ross Average cost semi-Markov decision processes Journal of Applied Probability 7 1970 649 656
    • (1970) Journal of Applied Probability , vol.7 , pp. 649-656
    • Ross, S.M.1
  • 28
    • 33751077547 scopus 로고    scopus 로고
    • A policy gradient method for semi-Markov decision processes with application to call admission control
    • DOI 10.1016/j.ejor.2006.02.023, PII S0377221706001317
    • S.S. Singh, V.B. Tadic, and A. Doucet A policy gradient method for semi-Markov decision processes with application to call admission control European Journal of Operational Research 178 2007 808 818 (Pubitemid 44765147)
    • (2007) European Journal of Operational Research , vol.178 , Issue.3 , pp. 808-818
    • Singh, S.S.1    Tadic, V.B.2    Doucet, A.3
  • 29
    • 0009166242 scopus 로고
    • Finite horizon Markov decision processes with uncertain terminal payoffs
    • D.J. White Finite horizon Markov decision processes with uncertain terminal payoffs Operational Research 43 1995 862 869
    • (1995) Operational Research , vol.43 , pp. 862-869
    • White, D.J.1
  • 30
    • 0003052863 scopus 로고    scopus 로고
    • Minimizing risk models in Markov decision processes with policies depending on target values
    • C.B. Wu, and Y.L. Lin Minimizing risk models in Markov decision processes with policies depending on target values Journal of Mathematical Analysis and Applications 231 1999 47 67
    • (1999) Journal of Mathematical Analysis and Applications , vol.231 , pp. 47-67
    • Wu, C.B.1    Lin, Y.L.2


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