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Volumn 13, Issue C, 2006, Pages 575-616

Chapter 19 Gradient Estimation

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EID: 77950463930     PISSN: 09270507     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0927-0507(06)13019-4     Document Type: Review
Times cited : (196)

References (103)
  • 1
    • 0030143339 scopus 로고    scopus 로고
    • Optimization of the transient and steady-state behavior of discrete event systems
    • Andradóttir S. Optimization of the transient and steady-state behavior of discrete event systems. Management Science 42 (1996) 717-737
    • (1996) Management Science , vol.42 , pp. 717-737
    • Andradóttir, S.1
  • 4
    • 0028377424 scopus 로고
    • Application of perturbation analysis to a class of periodic review (s, S) inventory systems
    • Bashyam S., and Fu M.C. Application of perturbation analysis to a class of periodic review (s, S) inventory systems. Naval Research Logistics 41 (1994) 47-80
    • (1994) Naval Research Logistics , vol.41 , pp. 47-80
    • Bashyam, S.1    Fu, M.C.2
  • 5
    • 0032290624 scopus 로고    scopus 로고
    • Optimization of (s, S) inventory systems with random lead times and a service level constraint
    • Bashyam S., and Fu M.C. Optimization of (s, S) inventory systems with random lead times and a service level constraint. Management Science 44 (1998) S243-S256
    • (1998) Management Science , vol.44
    • Bashyam, S.1    Fu, M.C.2
  • 6
    • 85009795347 scopus 로고    scopus 로고
    • Smart Monte Carlo: Various tricks using Malliavin calculus
    • Benhamou E. Smart Monte Carlo: Various tricks using Malliavin calculus. Quantitative Finance 2 (2002) 329-336
    • (2002) Quantitative Finance , vol.2 , pp. 329-336
    • Benhamou, E.1
  • 7
    • 0346902105 scopus 로고    scopus 로고
    • Two-timescale simultaneous perturbation stochastic approximation using deterministic perturbation sequences
    • Bhatnagar S., Fu M.C., Marcus S.I., and Wang I.J. Two-timescale simultaneous perturbation stochastic approximation using deterministic perturbation sequences. ACM Transactions on Modeling and Computer Simulation 13 (2003) 180-209
    • (2003) ACM Transactions on Modeling and Computer Simulation , vol.13 , pp. 180-209
    • Bhatnagar, S.1    Fu, M.C.2    Marcus, S.I.3    Wang, I.J.4
  • 8
    • 21844509199 scopus 로고
    • Stochastic gradient-based time-cost tradeoffs in PERT network using simulation
    • Bowman R.A. Stochastic gradient-based time-cost tradeoffs in PERT network using simulation. Annals of Operations Research 53 (1994) 533-551
    • (1994) Annals of Operations Research , vol.53 , pp. 533-551
    • Bowman, R.A.1
  • 9
    • 14244264635 scopus 로고
    • On the pathwise computation of derivatives with respect to the rate of a point process: The phantom RPA method
    • Brémaud P., and Vázquez-Abad F.J. On the pathwise computation of derivatives with respect to the rate of a point process: The phantom RPA method. Queueing Systems: Theory and Applications 10 (1992) 249-270
    • (1992) Queueing Systems: Theory and Applications , vol.10 , pp. 249-270
    • Brémaud, P.1    Vázquez-Abad, F.J.2
  • 10
    • 0001064964 scopus 로고    scopus 로고
    • Estimating security price derivatives using simulation
    • Broadie M., and Glasserman P. Estimating security price derivatives using simulation. Management Science 42 (1996) 269-285
    • (1996) Management Science , vol.42 , pp. 269-285
    • Broadie, M.1    Glasserman, P.2
  • 11
    • 0022117237 scopus 로고
    • Convergence of parameter sensitivity estimates in a stochastic experiment
    • Cao X.R. Convergence of parameter sensitivity estimates in a stochastic experiment. IEEE Transactions on Automatic Control 30 (1985) 834-843
    • (1985) IEEE Transactions on Automatic Control , vol.30 , pp. 834-843
    • Cao, X.R.1
  • 13
    • 0033884215 scopus 로고    scopus 로고
    • A unified approach to Markov decision problems and performance sensitivity analysis
    • Cao X.R. A unified approach to Markov decision problems and performance sensitivity analysis. Automatica 36 (2000) 771-774
    • (2000) Automatica , vol.36 , pp. 771-774
    • Cao, X.R.1
  • 14
    • 0037289322 scopus 로고    scopus 로고
    • From perturbation analysis to Markov decision processes and reinforcement learning
    • Cao X.R. From perturbation analysis to Markov decision processes and reinforcement learning. Discrete Event Dynamic Systems: Theory and Applications 13 (2003) 9-39
    • (2003) Discrete Event Dynamic Systems: Theory and Applications , vol.13 , pp. 9-39
    • Cao, X.R.1
  • 15
    • 0038631988 scopus 로고    scopus 로고
    • Semi-Markov decision problems and performance sensitivity analysis
    • Cao X.R. 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
  • 19
  • 21
    • 0029344134 scopus 로고
    • Structural infinitesimal perturbation analysis for derivative estimation in discrete event dynamic systems
    • Dai L., and Ho Y.C. Structural infinitesimal perturbation analysis for derivative estimation in discrete event dynamic systems. IEEE Transactions on Automatic Control 40 (1995) 1154-1166
    • (1995) IEEE Transactions on Automatic Control , vol.40 , pp. 1154-1166
    • Dai, L.1    Ho, Y.C.2
  • 24
    • 0025417457 scopus 로고
    • Convergence of a stochastic approximation algorithm for the GI / G / 1 queue using infinitesimal perturbation analysis
    • Fu M.C. Convergence of a stochastic approximation algorithm for the GI / G / 1 queue using infinitesimal perturbation analysis. Journal of Optimization Theory and Applications 65 (1990) 149-160
    • (1990) Journal of Optimization Theory and Applications , vol.65 , pp. 149-160
    • Fu, M.C.1
  • 25
    • 34249770616 scopus 로고
    • Optimization via simulation: A review
    • Fu M.C. Optimization via simulation: A review. Annals of Operations Research 53 (1994) 199-248
    • (1994) Annals of Operations Research , vol.53 , pp. 199-248
    • Fu, M.C.1
  • 26
    • 0001175694 scopus 로고
    • Sample path derivatives for (s, S) inventory systems
    • Fu M.C. Sample path derivatives for (s, S) inventory systems. Operations Research 42 (1994) 351-364
    • (1994) Operations Research , vol.42 , pp. 351-364
    • Fu, M.C.1
  • 27
    • 3242888820 scopus 로고    scopus 로고
    • Perturbation analysis
    • Gass S.I., and Harris C.M. (Eds), Kluwer Academic Publishers, Boston, MA
    • Fu M.C. Perturbation analysis. In: Gass S.I., and Harris C.M. (Eds). Encyclopedia of Operations Research and Management Science. 2nd edition (2001), Kluwer Academic Publishers, Boston, MA 608-611
    • (2001) Encyclopedia of Operations Research and Management Science. 2nd edition , pp. 608-611
    • Fu, M.C.1
  • 28
    • 0007893588 scopus 로고    scopus 로고
    • Simulation optimization
    • Gass S.I., and Harris C.M. (Eds), Kluwer Academic Publishers, Boston, MA
    • Fu M.C. Simulation optimization. In: Gass S.I., and Harris C.M. (Eds). Encyclopedia of Operations Research and Management Science. 2nd edition (2001), Kluwer Academic Publishers, Boston, MA 756-759
    • (2001) Encyclopedia of Operations Research and Management Science. 2nd edition , pp. 756-759
    • Fu, M.C.1
  • 29
    • 0012260296 scopus 로고    scopus 로고
    • Optimization for simulation: Theory vs. practice (Feature Article)
    • Fu M.C. Optimization for simulation: Theory vs. practice (Feature Article). INFORMS Journal on Computing 14 (2002) 192-215
    • (2002) INFORMS Journal on Computing , vol.14 , pp. 192-215
    • Fu, M.C.1
  • 31
    • 84989682966 scopus 로고
    • Simulation optimization of (s, S) inventory systems
    • IEEE Press, Piscataway, NJ
    • Fu M.C., and Healy K.J. Simulation optimization of (s, S) inventory systems. Proceedings of the Winter Simulation Conference (1992), IEEE Press, Piscataway, NJ 506-514
    • (1992) Proceedings of the Winter Simulation Conference , pp. 506-514
    • Fu, M.C.1    Healy, K.J.2
  • 32
    • 0031096068 scopus 로고    scopus 로고
    • Techniques for simulation optimization: An experimental study on an (s, S) inventory system
    • Fu M.C., and Healy K.J. Techniques for simulation optimization: An experimental study on an (s, S) inventory system. IIE Transactions 29 (1997) 191-199
    • (1997) IIE Transactions , vol.29 , pp. 191-199
    • Fu, M.C.1    Healy, K.J.2
  • 33
    • 0031097490 scopus 로고    scopus 로고
    • Optimization of discrete event systems via simultaneous perturbation stochastic approximation
    • Fu M.C., and Hill S.D. Optimization of discrete event systems via simultaneous perturbation stochastic approximation. IIE Transactions 29 (1997) 233-243
    • (1997) IIE Transactions , vol.29 , pp. 233-243
    • Fu, M.C.1    Hill, S.D.2
  • 34
    • 0026254857 scopus 로고
    • On choosing the characterization for smoothed perturbation analysis
    • Fu M.C., and Hu J.Q. On choosing the characterization for smoothed perturbation analysis. IEEE Transactions on Automatic Control 36 (1991) 1331-1336
    • (1991) IEEE Transactions on Automatic Control , vol.36 , pp. 1331-1336
    • Fu, M.C.1    Hu, J.Q.2
  • 35
    • 0026939901 scopus 로고
    • Extensions and generalizations of smoothed perturbation analysis in a generalized semi-Markov process framework
    • Fu M.C., and Hu J.Q. Extensions and generalizations of smoothed perturbation analysis in a generalized semi-Markov process framework. IEEE Transactions on Automatic Control 37 (1992) 1483-1500
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 1483-1500
    • Fu, M.C.1    Hu, J.Q.2
  • 36
    • 4243092686 scopus 로고
    • Second derivative sample path estimators for the GI / G / m queue
    • Fu M.C., and Hu J.Q. Second derivative sample path estimators for the GI / G / m queue. Management Science 39 (1993) 359-383
    • (1993) Management Science , vol.39 , pp. 359-383
    • Fu, M.C.1    Hu, J.Q.2
  • 37
    • 84971160278 scopus 로고
    • (s, S) inventory systems with random lead times: Harris recurrence and its implications in sensitivity analysis
    • Fu M.C., and Hu J.Q. (s, S) inventory systems with random lead times: Harris recurrence and its implications in sensitivity analysis. Probability in the Engineering and Informational Sciences 8 (1994) 355-376
    • (1994) Probability in the Engineering and Informational Sciences , vol.8 , pp. 355-376
    • Fu, M.C.1    Hu, J.Q.2
  • 40
    • 0032641361 scopus 로고    scopus 로고
    • Efficient design and sensitivity analysis of control charts using Monte Carlo simulation
    • Fu M.C., and Hu J.Q. Efficient design and sensitivity analysis of control charts using Monte Carlo simulation. Management Science 45 (1999) 395-413
    • (1999) Management Science , vol.45 , pp. 395-413
    • Fu, M.C.1    Hu, J.Q.2
  • 41
    • 0027797819 scopus 로고
    • An application of perturbation analysis to replacement problems in maintenance
    • IEEE Press, Piscataway, NJ
    • Fu M.C., Hu J.Q., and Shi L. An application of perturbation analysis to replacement problems in maintenance. Proceedings of the 1993 Winter Simulation Conference (1993), IEEE Press, Piscataway, NJ 329-337
    • (1993) Proceedings of the 1993 Winter Simulation Conference , pp. 329-337
    • Fu, M.C.1    Hu, J.Q.2    Shi, L.3
  • 45
    • 84976859194 scopus 로고
    • Likelihood ratio gradient estimation for stochastic systems
    • Glynn P.W. Likelihood ratio gradient estimation for stochastic systems. Communicatios of the ACM 33 (1990) 75-84
    • (1990) Communicatios of the ACM , vol.33 , pp. 75-84
    • Glynn, P.W.1
  • 46
    • 0000405299 scopus 로고
    • Smoothed perturbation analysis of discrete-event dynamic systems
    • Gong W.B., and Ho Y.C. Smoothed perturbation analysis of discrete-event dynamic systems. IEEE Transactions on Automatic Control 32 (1987) 858-867
    • (1987) IEEE Transactions on Automatic Control , vol.32 , pp. 858-867
    • Gong, W.B.1    Ho, Y.C.2
  • 47
    • 0007954921 scopus 로고    scopus 로고
    • Sample-path solution of stochastic variational inequalities
    • Gürkan G., Özge A.Y., and Robinson S.M. Sample-path solution of stochastic variational inequalities. Mathematical Programming 84 (1999) 313-333
    • (1999) Mathematical Programming , vol.84 , pp. 313-333
    • Gürkan, G.1    Özge, A.Y.2    Robinson, S.M.3
  • 48
    • 0041481941 scopus 로고
    • Convergence properties of infinitesimal perturbation analysis estimates
    • Heidelberger P., Cao X.R., Zazanis M., and Suri R. Convergence properties of infinitesimal perturbation analysis estimates. Management Science 34 (1988) 1281-1302
    • (1988) Management Science , vol.34 , pp. 1281-1302
    • Heidelberger, P.1    Cao, X.R.2    Zazanis, M.3    Suri, R.4
  • 49
    • 0033321393 scopus 로고    scopus 로고
    • Optimization of a single-component maintenance system: A smoothed perturbation analysis approach
    • Heidergott B. Optimization of a single-component maintenance system: A smoothed perturbation analysis approach. European Journal of Operational Research 119 (1999) 181-190
    • (1999) European Journal of Operational Research , vol.119 , pp. 181-190
    • Heidergott, B.1
  • 50
    • 0035610311 scopus 로고    scopus 로고
    • A weak derivative approach to optimization of threshold parameters in a multi-component maintenance system
    • Heidergott B. A weak derivative approach to optimization of threshold parameters in a multi-component maintenance system. Journal of Applied Probability 38 (2001) 386-406
    • (2001) Journal of Applied Probability , vol.38 , pp. 386-406
    • Heidergott, B.1
  • 56
    • 0024014167 scopus 로고
    • Extensions of infinitesimal perturbation analysis
    • Ho Y.C., and Li S. Extensions of infinitesimal perturbation analysis. IEEE Transactions on Automatic Control 33 (1988) 827-838
    • (1988) IEEE Transactions on Automatic Control , vol.33 , pp. 827-838
    • Ho, Y.C.1    Li, S.2
  • 57
    • 0032634574 scopus 로고    scopus 로고
    • Finding optimal material release times using simulation based optimization
    • Homem-de-Mello T., Shapiro A., and Spearman M.L. Finding optimal material release times using simulation based optimization. Management Science 45 (1999) 86-102
    • (1999) Management Science , vol.45 , pp. 86-102
    • Homem-de-Mello, T.1    Shapiro, A.2    Spearman, M.L.3
  • 58
  • 60
    • 0041481939 scopus 로고
    • Convergence results for harmonic gradient estimators
    • Jacobson S.H. Convergence results for harmonic gradient estimators. ORSA Journal on Computing 6 (1994) 381-397
    • (1994) ORSA Journal on Computing , vol.6 , pp. 381-397
    • Jacobson, S.H.1
  • 62
    • 0000519075 scopus 로고
    • Driving frequency selection for frequency domain simulation experiments
    • Jacobson S.H., Buss A., and Schruben L.W. Driving frequency selection for frequency domain simulation experiments. Operations Research 39 (1991) 917-924
    • (1991) Operations Research , vol.39 , pp. 917-924
    • Jacobson, S.H.1    Buss, A.2    Schruben, L.W.3
  • 63
    • 0003174083 scopus 로고    scopus 로고
    • Optimal policies and simulation based optimization for capacitated production inventory systems
    • Tayur S.R., Ganeshan R., and Magazine M.J. (Eds), Kluwer Academic Publishers, Boston, MA Chapter 2
    • Kapuscinski R., and Tayur S.R. Optimal policies and simulation based optimization for capacitated production inventory systems. In: Tayur S.R., Ganeshan R., and Magazine M.J. (Eds). Quantitative Models for Supply Chain Management (1999), Kluwer Academic Publishers, Boston, MA Chapter 2
    • (1999) Quantitative Models for Supply Chain Management
    • Kapuscinski, R.1    Tayur, S.R.2
  • 64
    • 0001079593 scopus 로고
    • Stochastic estimation of the maximum of a regression function
    • Kiefer J., and Wolfowitz J. Stochastic estimation of the maximum of a regression function. Annals of Mathematical Statistics 23 (1952) 462-466
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 462-466
    • Kiefer, J.1    Wolfowitz, J.2
  • 68
    • 0000997790 scopus 로고
    • A unified view of the IPA, SF, and LR gradient estimation techniques
    • L'Ecuyer P. A unified view of the IPA, SF, and LR gradient estimation techniques. Management Science 36 (1990) 1364-1383
    • (1990) Management Science , vol.36 , pp. 1364-1383
    • L'Ecuyer, P.1
  • 69
    • 0011744299 scopus 로고
    • On the interchange of derivative and expectation for likelihood ratio derivative estimators
    • L'Ecuyer P. On the interchange of derivative and expectation for likelihood ratio derivative estimators. Management Science 41 (1995) 738-748
    • (1995) Management Science , vol.41 , pp. 738-748
    • L'Ecuyer, P.1
  • 70
    • 0028546691 scopus 로고
    • Stochastic optimization by simulation: Convergence proofs for the GI / G / 1 queue in steady-state
    • L'Ecuyer P., and Glynn P.W. Stochastic optimization by simulation: Convergence proofs for the GI / G / 1 queue in steady-state. Management Science 40 (1994) 1562-1578
    • (1994) Management Science , vol.40 , pp. 1562-1578
    • L'Ecuyer, P.1    Glynn, P.W.2
  • 71
    • 0001577860 scopus 로고
    • On the convergence rates of IPA and FDC derivative estimators
    • L'Ecuyer P., and Perron G. On the convergence rates of IPA and FDC derivative estimators. Operations Research 42 (1994) 643-656
    • (1994) Operations Research , vol.42 , pp. 643-656
    • L'Ecuyer, P.1    Perron, G.2
  • 72
    • 0032326765 scopus 로고    scopus 로고
    • Budget-dependent convergence rate of stochastic approximation
    • L'Ecuyer P., and Yin G. Budget-dependent convergence rate of stochastic approximation. SIAM Journal on Optimization 8 (1998) 217-247
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 217-247
    • L'Ecuyer, P.1    Yin, G.2
  • 73
    • 0000391011 scopus 로고
    • Stochastic optimization by simulation: Numerical experiments with a simple queue in steady-state
    • L'Ecuyer P., Giroux N., and Glynn P.W. Stochastic optimization by simulation: Numerical experiments with a simple queue in steady-state. Management Science 40 (1994) 1245-1261
    • (1994) Management Science , vol.40 , pp. 1245-1261
    • L'Ecuyer, P.1    Giroux, N.2    Glynn, P.W.3
  • 75
    • 21144462428 scopus 로고
    • Conditioning for variance reduction in estimating the sensitivity of simulations
    • McLeish D.L., and Rollins S. Conditioning for variance reduction in estimating the sensitivity of simulations. Annals of Operations Research 39 (1992) 157-173
    • (1992) Annals of Operations Research , vol.39 , pp. 157-173
    • McLeish, D.L.1    Rollins, S.2
  • 77
    • 0040085167 scopus 로고
    • Sampling derivatives of probabilities
    • Pflug G.C. Sampling derivatives of probabilities. Computing 42 (1989) 315-328
    • (1989) Computing , vol.42 , pp. 315-328
    • Pflug, G.C.1
  • 78
    • 0001456637 scopus 로고
    • On-line optimization of simulated Markovian processes
    • Pflug G.C. On-line optimization of simulated Markovian processes. Mathematics of Operations Research 15 (1990) 381-395
    • (1990) Mathematics of Operations Research , vol.15 , pp. 381-395
    • Pflug, G.C.1
  • 80
    • 0041926258 scopus 로고    scopus 로고
    • Inventory processes: Quasi-regenerative property, performance evaluation and sensitivity estimation via simulation
    • Pflug G.C., and Rubinstein R.Y. Inventory processes: Quasi-regenerative property, performance evaluation and sensitivity estimation via simulation. Stochastic Models 18 (2002) 469-496
    • (2002) Stochastic Models , vol.18 , pp. 469-496
    • Pflug, G.C.1    Rubinstein, R.Y.2
  • 81
  • 83
    • 0024735795 scopus 로고
    • Sensitivity analysis for simulations via likelihood ratios
    • Reiman M.I., and Weiss A. Sensitivity analysis for simulations via likelihood ratios. Operations Research 37 (1989) 830-844
    • (1989) Operations Research , vol.37 , pp. 830-844
    • Reiman, M.I.1    Weiss, A.2
  • 85
    • 0024480453 scopus 로고
    • Sensitivity analysis of computer simulation models via the score efficient
    • Rubinstein R.Y. Sensitivity analysis of computer simulation models via the score efficient. Operations Research 37 (1989) 72-81
    • (1989) Operations Research , vol.37 , pp. 72-81
    • Rubinstein, R.Y.1
  • 86
    • 21144480082 scopus 로고
    • Sensitivity analysis of discrete event systems by the 'push out' method
    • Rubinstein R.Y. Sensitivity analysis of discrete event systems by the 'push out' method. Annals of Operations Research 39 (1992) 229-251
    • (1992) Annals of Operations Research , vol.39 , pp. 229-251
    • Rubinstein, R.Y.1
  • 88
    • 0022900261 scopus 로고
    • Simulation optimization using frequency domain methods
    • IEEE Press, Piscataway, NJ
    • Schruben L.W. Simulation optimization using frequency domain methods. Proceedings of the Winter Simulation Conference (1986), IEEE Press, Piscataway, NJ 366-369
    • (1986) Proceedings of the Winter Simulation Conference , pp. 366-369
    • Schruben, L.W.1
  • 89
    • 0019664672 scopus 로고
    • Simulation sensitivity analysis: A frequency domain approach
    • IEEE Press, Piscataway, NJ
    • Schruben L.W., and Cogliano V.J. Simulation sensitivity analysis: A frequency domain approach. Proceedings of the Winter Simulation Conference (1981), IEEE Press, Piscataway, NJ 455-459
    • (1981) Proceedings of the Winter Simulation Conference , pp. 455-459
    • Schruben, L.W.1    Cogliano, V.J.2
  • 90
    • 77950512601 scopus 로고    scopus 로고
    • Monte Carlo sampling methods
    • Stochastic Programming. Ruszczynski A., and Shapiro A. (Eds), Elsevier, New York Chapter 6
    • Shapiro A. Monte Carlo sampling methods. In: Ruszczynski A., and Shapiro A. (Eds). Stochastic Programming. Handbook in Operations Research and Management Science (2003), Elsevier, New York Chapter 6
    • (2003) Handbook in Operations Research and Management Science
    • Shapiro, A.1
  • 91
    • 0001762682 scopus 로고    scopus 로고
    • A simulation-based approach to two-stage stochastic programming with recourse
    • Shapiro A., and Homem-de-Mello T. A simulation-based approach to two-stage stochastic programming with recourse. Mathematical Programming 81 (1998) 301-325
    • (1998) Mathematical Programming , vol.81 , pp. 301-325
    • Shapiro, A.1    Homem-de-Mello, T.2
  • 92
    • 0030287554 scopus 로고    scopus 로고
    • Discontinuous perturbation analysis of discrete event dynamic systems
    • Shi L.Y. Discontinuous perturbation analysis of discrete event dynamic systems. IEEE Transactions on Automatic Control 41 (1996) 1676-1681
    • (1996) IEEE Transactions on Automatic Control , vol.41 , pp. 1676-1681
    • Shi, L.Y.1
  • 93
    • 0026839090 scopus 로고
    • Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
    • Spall J.C. Multivariate stochastic approximation using a simultaneous perturbation gradient approximation. IEEE Transactions on Automatic Control 37 (1992) 332-341
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 332-341
    • Spall, J.C.1
  • 94
    • 0034290982 scopus 로고    scopus 로고
    • Adaptive stochastic approximation by the simultaneous perturbation method
    • Spall J.C. Adaptive stochastic approximation by the simultaneous perturbation method. IEEE Transactions on Automatic Control 45 (2000) 1839-1853
    • (2000) IEEE Transactions on Automatic Control , vol.45 , pp. 1839-1853
    • Spall, J.C.1
  • 97
    • 0023861174 scopus 로고
    • Perturbation analysis gives strongly consistent sensitivity estimates for the M / G / 1 queue
    • Suri R., and Zazanis M.A. Perturbation analysis gives strongly consistent sensitivity estimates for the M / G / 1 queue. Management Science 34 (1988) 39-64
    • (1988) Management Science , vol.34 , pp. 39-64
    • Suri, R.1    Zazanis, M.A.2
  • 98
    • 0033184357 scopus 로고    scopus 로고
    • Asymptotic efficiency of perturbation analysis-based stochastic approximation with averaging
    • Tang Q.-Y., L'Ecuyer P., and Chen H.-F. Asymptotic efficiency of perturbation analysis-based stochastic approximation with averaging. SIAM Journal on Control and Optimization 37 (1999) 1822-1847
    • (1999) SIAM Journal on Control and Optimization , vol.37 , pp. 1822-1847
    • Tang, Q.-Y.1    L'Ecuyer, P.2    Chen, H.-F.3
  • 99
    • 0026250657 scopus 로고
    • Using a standard clock technique for efficient simulation
    • Vakili P. Using a standard clock technique for efficient simulation. Operations Research Letters 10 (1991) 445-452
    • (1991) Operations Research Letters , vol.10 , pp. 445-452
    • Vakili, P.1
  • 101
    • 0036932469 scopus 로고    scopus 로고
    • Randomized-direction stochastic approximation algorithms using deterministic perturbation sequences
    • IEEE Press, Piscataway, NJ
    • Xiong X., Wang I.J., and Fu M.C. Randomized-direction stochastic approximation algorithms using deterministic perturbation sequences. Proceedings of the 2002 Winter Simulation Conference (2002), IEEE Press, Piscataway, NJ 285-291
    • (2002) Proceedings of the 2002 Winter Simulation Conference , pp. 285-291
    • Xiong, X.1    Wang, I.J.2    Fu, M.C.3
  • 102
    • 0011394477 scopus 로고
    • Convergence rates of finite-difference sensitivity estimates for stochastic systems
    • Zazanis M.A., and Suri R. Convergence rates of finite-difference sensitivity estimates for stochastic systems. Operations Research 41 (1993) 694-703
    • (1993) Operations Research , vol.41 , pp. 694-703
    • Zazanis, M.A.1    Suri, R.2
  • 103
    • 84888629127 scopus 로고    scopus 로고
    • Sample path derivatives for (s, S) inventory systems with price determination
    • Golden B.L., Raghavan S., and Wasil E.A. (Eds), Kluwer Academic Publishers, Boston, MA
    • Zhang H., and Fu M.C. Sample path derivatives for (s, S) inventory systems with price determination. In: Golden B.L., Raghavan S., and Wasil E.A. (Eds). The Next Wave in Computing, Optimization, and Decision Technologies (2005), Kluwer Academic Publishers, Boston, MA 229-246
    • (2005) The Next Wave in Computing, Optimization, and Decision Technologies , pp. 229-246
    • Zhang, H.1    Fu, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.