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Peter W. Glynn
Thomas W. Ford Professor in the School of Engineering
Office: Terman 313 | Phone: 650-725-0554 | Fax: 650-723-1614
Email: glynn @ stanford.edu |
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Simulation and Monte Carlo Methods
"The Semi-regenerative Method of Simulation
Output Analysis" [with J. M. Calvin and M. K. Nakayama]. Submitted
for publication. PDF
" On the Validity of Long-Run Estimation
Methods for Discrete-Event Systems " [ with P.J. Haas ]. To
appear in Performance Evaluation Review. PDF
" Computing the Distribution Function of
a Conditional Expectation via Monte Carlo: Discrete Conditioning
Spaces " [ with S.-H. Lee ]. Submitted for publication
" Computing Bayesian Means Using Simulation
" [with S. Andradottir]. Submitted for publication
Please contact Sigrun Andradottir for a copy
at: sa @ isye.isye.gatech.edu
" Kernel-Based Reinforcement Learning in
Average-Cost Problems " [with D. Ormoneit]. Submitted for publication
" Confidence Regions for Stochastic Approximation
Algorithms " ( with M.-H. Hsieh ). To appear in Proceedings
of the 2002 Winter Simulation Conference.
" Kernel-Based Reinforcement Learning in
Average-Cost Problems " [with D. Ormoneit]. To appear in IEEE
Transactions on Automatic Control.
" Nonexistence of a Class of Variate Generation
Schemes " [with S. G. Henderson ]. To appear in Operations
Research Letters PDF
" Rare-Event Simulation for Infinite Server
Queues " ( with R. Szechtman ). To appear in Proceedings of
the 2002 Winter Simulation Conference PDF
" Simulating the Maximum of a Random Walk
" [with K. B. Ensor]. To appear in Journal of Statistical Planning
and Inference
" Transient Simulation Via Empirically-Based
Coupling " [with D. L. Iglehart and E. Wong]. To appear in
Probability in the Engineering and Informational Sciences
" Approximating Martingales for
Variance Reduction in Markov Process Simulation " [ with S.
G. Henderson ]. Mathematics of Operations Research vol. 27, p. 253-271
( 2002 ). PDF
" Some New Perspectives on the Method of
Control Variates " [ with R. Szechtman ]. Monte Carlo and Quasi-Monte
Carlo Methods 2000 ( edited by K.T. Fang, F.J.Hickernell, and H.
Niederreiter ), Springer-Verlag, Berlin, 27-49 ( 2002 ). PDF
" Computing Densities for Markov
Chains via Simulation " [ with S. G. Henderson ]. Mathematics
of Operations Research 26, 375-400 ( 2001 ) More
Info
" A Markov Chain Perspective on Adaptive
Monte Carlo Algorithms " [ with P. Desai ]. Proceedings of
the 2001 Winter Simulation Conference, 379-384 ( 2001 ) PDF
" Constrained Monte Carlo and the Method
of Control Variates " [ with R. Szechtman ]. Proceedings of
the 2001 Winter Simulation Conference, 394-400 ( 2001 ) PDF
" Importance Sampling using the Semi-Regenerative
Method " [ with J. Calvin and M. Nakayama ]. Proceedings of
the 2001 Winter Simulation Conference, 441-450 ( 2001 ) PDF
" Multivariate Standardized Time Series
" [with D. Muñoz]. Operations Research Vol. 49, 413-422
( 2001 ) PDF
" Regenerative Steady-State Simulation
of Discrete-Event Systems " [with S.G. Henderson] ACM Transactions
on Modeling and Computer Simulation 11, 313-345 ( 2001 ). More
Info
" Computing the Distribution Function of a Conditional Expectation
via Monte Carlo: Discrete Conditioning Spaces " [ with S.-H.
Lee ]. Proceedings of the 1999 Winter Simulation Conference, 1654-1663
( 1999 ) PDF
" On the Small-Sample Optimality of Multiple-Regeneration
Estimators" [ with J. Calvin and M. Nakayama ]. Proceedings
of the 1999 Winter Simulation Conference, 655-661 ( 1999 ) PDF
" Can the Regenerative Method be Applied
to Discrete-Event Simulations? " [ with S. G. Henderson ].
Proceedings of the 1999 Winter Simulation Conference, 367-373 (
1999 ) PDF
" Derandomizing Variance Estimators "
[with S. G. Henderson]. Operations Research Vol. 47, 907-916 ( 1999
) PDF
" Limit Theory for Performance Modeling
of Future Event Set Algorithms " [with H. Damerdji]. Management
Science, Vol. 44, 1709-1722 ( 1998 ).
" Estimation of Stationary Densities for
Markov Chains " [with S. G. Henderson]. Proceedings of the
1998 Winter Simulation Conference, 647-652 ( 1998 ) PDF
" A Batch Means Methodology for Estimation
of a Nonlinear Function of a Steady-State Mean " [with D. F.
Muñoz] Management Science Vol. 43, 1121-1135 ( 1997 )
" Computational Efficiency Evaluation in
Output Analysis " [with H. Damerdji and S. G. Henderson]. Proceedings
of the 1997 Winter Simulation Conference, 208-215 ( 1997 ) PDF
" Stochastic Optimization via Grid Search
". In Mathematics of Stochastic Manufacturing Systems [G.G.
Yin and Q. Zhang, eds.] Lectures in Applied Mathematics, vol. 33,
American Mathematical Society, Providence, Rhode Island, 89 - 100
( 1997 )
" Efficient Simulation via Coupling "[with
E. Wong]. Probability in the Engineering and Informational Sciences
Vol. 10, 165-186 ( 1996 )
" Numerical Computation of Large Deviations
Exponents via Simulation ". Proceedings of the 1996 Allerton
Conference on Communication, Control, and Computing , 790-797 (
1996 )
" Selecting the Best System in Transient
Simulations with Variances Known " [with H. Damerdji, M. K.
Nakayama and J.R. Wilson]. Proceedings of the 1996 Winter Simulation
Conference ,281-286 ( 1996 )
" Grid-Based Simulation and the Method of Conditional Least
Squares " [with K. B. Ensor]. Proceedings of the 1996 Winter
Simulation Conference, 325-331( 1996 )
" Importance Sampling for Monte Carlo Estimation
of Quantiles ". Proceedings of the Second International Workshop
on Mathematical Methods in Stochastic Simulation and Experimental
Design, St. Petersburg, 180-185 ( 1996 )
" Likelihood Ratio Gradient Estimation
for Stochastic Recursions " [with P. LEcuyer]. Advances
in Applied Probability Vol. 27, 1019-1053 ( 1995 ) PS
" Discretization Error in Simulation of One-Dimensional Reflecting
Brownian Motion " [with S. Asmussen and J. Pitman]. Annals
of Applied Probability, Vol. 5, No. 4, 875-896 ( 1995 )
" Efficient Monte Carlo Simulation of Security
Prices " [with J.D. Duffie]. Annals of Applied Probability,
Vol. 5, No. 4, 897-905 ( 1995 )
" A Set of Extensions to the SIMAN/ARENA
Simulation Environment " [with M. J. Torres]. Proceedings of
the 1995 Winter Simulation Conference , 285-293 ( 1995 )
" Some New Results on the Initial Transient
Problem ". Proceedings of the 1995 Winter Simulation Conference,165-170
( 1995 )
" Performance Analysis of Future Event
Sets " [with H. Damerdji]. Proceedings of the 1995 Winter Simulation
Conference, 316-321 ( 1995 )
" Two Approaches to the Initial Transient Problem ". Monte
Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture
Notes in Statistics, Vol. 106, Springer-Verlag, New York, 49-57
( 1995 )
" Accelerated Regeneration for Markov Chain
Simulations " [with S. Andradottir and J. M. Calvin]. Probability
in the Engineering and Informational Sciences Vol. 9, 497-523 (
1995 )
" A Martingale Approach to Regenerative
Simulation " [with D. L. Iglehart]. Probability in the Engineering
and Informational Sciences Vol. 9, 123-131 ( 1995 )
" On the Value of Function Evaluation Location
Information in Monte Carlo Simulation " [with T. J. DiCiccio].
Management Science Vol. 41, 733-737 ( 1995 )
" Increasing the Frequency of Regeneration
for Markov Processes " [with J. Calvin and S. Andradottir].
Proceedings of the 1994 Winter Simulation Conference, 320-323 (
1994 )
" Some Topics in Regenerative Steady-State
Simulation ". Acta Applicandae Mathematicae Vol. 34, 225-236
( 1994 )
" On the Existence and Estimation of Performance
Measure Derivatives for Stochastic Recursions " [with P. LEcuyer],
11th International Conference on Analysis and Optimization of Systems,
Lecture Notes in Control and Information Sciences, Vol 199 , Springer-Verlag,
New York, 429-442 ( 1994 )
" Efficiency Improvement Techniques ".
The Annals of Operations Research Vol. 53, 175-198 ( 1994 )
" Stochastic Optimization by Simulation:
Convergence Proofs for the GI/G/1 Queue in Steady-State " [with
P. LEcuyer]. Management Science Vol. 40,1562-1578 ( 1994 )
" Stochastic Optimization by Simulation:
Numerical Experiments with the M/M/1 Queue in Steady-State "
[with P. LEcuyer and N. Giroux]. Management Science Vol. 40)
1245-1261 ( 1994 )
" Importance Sampling for Markov Chains: Asymptotics for the
Variance ". Stochastic Models Vol. 10, 701-717 ( 1994 )
" Likelihood Ratio Sensitivity Analysis
for Markovian Models of Highly Dependable Systems " [with M.
Nakayama and A. Goyal]. Operations Research Vol. 42 , 137-157 (
1994 )
" Efficient Estimation of the Mean Time
Between Failures in Non-regenerative Dependability Models "
[with P. Heidelberger, V. Nicola, and P. Shahabuddin]. Proceedings
of the 1993 Winter Simulation Conference , 311-316 ( 1993 )
" Conditions for the Applicability of the
Regenerative Method " [with D.L. Iglehart]. Management Science
Vol. 39, 1108-1111 ( 1993 )
" Fast Simulation of Steady-State Availability
in Non-Markovian Highly Dependable Systems " [with V. Nicola,
P. Shahabuddin, and P. Heidelberger]. Proceedings of the 23rd International
Symposium on Fault-Tolerant Computing, IEEE Computer Society Press,
38-47 ( 1993 )
" Estimating Customer and Time Averages
" [with B. Melamed and W. Whitt]. Operations Research Vol.
41, 400-408 ( 1993 ) PDF
" Experimental Results for Gradient Estimation
and Optimization of a Markov Chain in Steady-State "[with P.
LEcuyer and N. Giroux]. Proceedings of the 1990 Vienna Conference
on Computationally Intensive Methods in Simulation and Optimization,
Lecture Notes in Economics and Mathematical Systems, No. 374, 14-23
( 1992 )
" Gradient Estimation for Regenerative
Processes " [with P. Glasserman]. Proceedings of the 1992 Winter
Simulation Conference, 280-288 ( 1992 )
" Jackknifing Under a Budget Constraint
[with P. Heidelberger]. ORSA Journal on Computing Vol. 4 , 226-234
( 1992 )
" Stationarity Detection in the Initial
Transient Problem " [with S. Asmussen and H. Thorisson]. ACM
Transactions on Modeling and Computer Simulation Vol. 2, 130-157
( 1992 )
" Pathwise Convexity and its Relation to
Convergence of Time-Average Derivatives ". Management Science
Vol. 38, 1360-1366 ( 1992 )
" Experiments with Initial Transient Deletion
for Parallel, Replicated Steady-State Simulations " [with P.
Heidelberger]. Management Science Vol. 3, 400-418 ( 1992 )
" The Asymptotic Validity of Sequential
Stopping Rules for Stochastic Simulations " [with W. Whitt].
Annals of Applied Probability Vol. 2, 180-198 ( 1992 )
" The Asymptotic Efficiency of Simulation
Estimators " [with W. Whitt]. Operations Research Vol. 40,
505-520 ( 1992 )
" Analysis of Initial Transient Deletion
for Parallel Steady-State Simulations " [with P. Heidelberger].
SIAM J. Scientific Stat. Computing Vol. 13, 904-922 ( 1992 )
" A GSMP Formalism for Discrete Event Systems
". In Discrete Event Dynamic Systems [Yu-Chi Ho, ed.]. IEEE
Press, Piscataway, NJ (1992)
" A Unified Framework for Simulating Markovian
Models of Highly Dependable Systems " [with A. Goyal, P. Shahabuddin,
P. Heidelberger, V.F. Nicola]. IEEE Transactions on Computers Vol.
41, 36-51 ( 1992 )
" Analysis of Parallel, Replicated Simulations
Under a Completion Time Constraint " [with P. Heidelberger].
ACM Transactions on Modeling and Simulation Vol.1, 3-23 ( 1991 )
" Estimating the Asymptotic Variance with
Batch Means " [with W. Whitt]. Operations Research Letters
Vol. 10, 431-435 ( 1991 )
" Analysis of Initial Transient Deletion
for Replicated Steady-State Simulations " [with P. Heidelberger].
Operations Research Letters Vol. 10, 437-443 ( 1991 )
" Gradient Estimation for Ratios "
with P. LEcuyer and M. Ades]. Proceedings of the 1991 Winter
Simulation Conference, 986-993 ( 1991 )
" Decomposition and Parallel Processing
Techniques for Large Scale Electric Power System Planning Under
Uncertainty " [with M. Avriel and G.B. Dantzig]. Proceedings
of NSF Workshop on Resource Planning Under Uncertainty, 3-34 ( 1990
)
" Likelihood Ratio Gradient Estimation
for Stochastic Systems ". Communications of the ACM Vol. 33,
75-84 ( 1990 )
" Bias Properties of Budget Constrained
Monte Carlo Simulations " [with P. Heidelberger]. Operations
Research Vol. 38, 801-814 ( 1990 )
" Discrete-time Conversion for Simulating
Finite-Horizon Markov Processes " [with B.L. Fox]. SIAM J.
Appl. Math. Vol. 50, 1457-1473 ( 1990 )
" Simulation Output Analysis Using Standardized
Time Series " [with D.L. Iglehart]. Mathematics of Operations
Research Vol. 15, 1-16 ( 1990 )
" Replication Schemes for Limiting Expectations
" [with B.L. Fox]. Probability in the Engineering and Informational
Sciences Vol. 3, 299-318 ( 1989 )
" Importance Sampling for Stochastic Simulation
" [with D.L. Iglehart]. Management Science Vol. 35, 1367-1392
( 1989 )
" Estimating Discounted Costs " [with
B.L. Fox]. Management Science Vol. 35, 1297-1325 ( 1989 )
" The Optimal Linear Combination of Control
Variates in the Presence of Bias " [with D.L. Iglehart]. Naval
Research Logistics Vol. 36, 683-692 ( 1989 )
" A GSMP Formalism for Discrete-Event Systems
". Proceedings of the IEEE Vol. 77, 14-23 ( 1989 )
" Indirect Estimation via L = lW "
[with W. Whitt]. Operations Research Vol. 37, 82-103 ( 1989 )
" Likelihood Ratio Derivative Estimators
for Stochastic Systems ". Proceedings of the 1989 Winter Simulation
Conference, 374-380 ( 1989 )
" Optimization of Stochastic Systems via
Simulation ". Proceedings of the 1989 Winter Simulation Conference,
90-105 ( 1989 )
" Variance Reduction in Mean Time to Failure
Simulations " [with P. Shahabuddin, V. Nicola, P. Heidelberger,
A. Goyal]. Proceedings of the 1988 Winter Simulation Conference,
491-500 ( 1988 )
" Computational and Statistical Issues
in Discrete-Event Simulation [with D.L. Iglehart]. Proceedings of
the 34th Conference on the Design of Experiments in Army Research
Development and Testing, 265-280 ( 1988 )
" A Non-Rectangular Sampling Plan for Estimating
Steady-State Means ". Proceedings of the 6th Army Conference
on Applied Mathematics and Computing, 965-978 ( 1988 )
" A New Class of Strongly Consistent Estimators
for Steady-State Simulations " [with D.L. Iglehart]. Stochastic
Processes and their Applications Vol. 28, 71-80 ( 1988 )
" Conditions under which a Markov Chain
Converges in Finite Time " [with D.L. Iglehart]. Probability
in the Engineering and Informational Sciences Vol. 2, 377-382 (
1988 )
" Simulation Methods for Queues: An Overview " [with D.L.
Iglehart]. Queueing Systems: Theory and Applications Vol. 3, 221-256
( 1988 )
" A Joint Central Limit Theorem for the
Sample Mean and Regenerative Variance Estimator " [with D.L.
Iglehart]. Annals of Operations Research Vol. 8, 41-55 ( 1987 )
" Limit Theorems for the Method of Replication
". Stochastic Models Vol. 4, 343-350 ( 1987 )
" Estimating Time Averages via Randomly-Spaced
Observations " [with B.L. Fox]. SIAM J. Appl. Math. Vol. 47,
186-200 ( 1987 )
" Likelihood Ratio Gradient Estimation:
An Overview ". Proceedings of the 1987 Winter Simulation Conference,
366-375 ( 1987 )
" A New Initial Bias Deletion Rule "
[with D.L. Iglehart]. Proceedings of the 1987 Winter Simulation
Conference, 318-319 ( 1987 )
" Monte Carlo Optimization of Stochastic
Systems: Two New Approaches " [with J.L. Sanders]. Proceedings
of the 1986 ASME Conference on Computers in Engineering Vol. 2,
219-223 ( 1986 )
" Sensitivity Analysis for Stationary Probabilities
of a Markov Chain ". Proceedings of the 4th Army Conference
on Applied Mathematics and Computing, 917-932 ( 1986 )
" Problems in Bayesian Analysis of Stochastic
Simulation ". Proceedings of the 1986 Winter Simulation Conference,
376-379 ( 1986 )
" Optimization of Stochastic Systems ".
Proceedings of the 1986 Winter Simulation Conference, 52-59 ( 1986
)
" Stochastic Approximation for Monte Carlo
Optimization ". Proceedings of the 1986 Winter Simulation Conference,
356-365 ( 1986 )
" Estimation of Steady-State Central Moments
by the Regenerative Method of Simulation " [with D.L. Iglehart].
Operations Research Letters Vol. 5, 271-276 ( 1986 )
" Recursive Moment Formulas for the Regenerative
Method of Simulation [with D.L. Iglehart] In Semi-Markov Models
[J. Janssen, ed.]. Plenum Press, New York, 99-110 ( 1986 )
" Discrete-Time Conversion for Simulating
Semi-Markov Processes " [with B.L. Fox]. Operations Research
Letters Vol. 5, 191-196 ( 1986 )
" Regenerative Structure of Markov Chains
Simulated via Common Random Numbers ". Operations Research
Letters Vol. 4, 49-53 ( 1985 )
" Large-Sample Theory for Standardized
Times Series: An Overview " [with D.L. Iglehart]. Proceedings
of the 1985 Winter Simulation Conference, 129-134 ( 1985 )
" Steady-State Confidence Interval Methodology:
Regenerative Methods " [with D.L. Iglehart]. Proceedings of
the 1984 Winter Simulation Conference, 248-249 ( 1984 )
" Some Asymptotic Formulas for Markov Chains
with Applications to Simulation. Journal of Statistical Computation
and Simulation Vol. 19, 97-112 ( 1984 )
" On Confidence Intervals for Cyclic Regenerative
Processes ". Operations Research Letters Vol. 2, 66-71 ( 1983
)
" On the Role of Generalized Semi-Markov
Processes in Simulation Output Analysis ". Proceedings of the
1983 Winter Simulation Conference, 38-42 ( 1983 )
" Simulation Output Analysis for General
State Space Markov Chains " [with D.L. Iglehart]. Proceedings
of the ORSA-TIMS Special Interest Meeting on Applied Probability-Computer
Science, The Interface , 71-87 ( 1982 )
" Coverage Error for Confidence Intervals Arising in Simulation
Output Analysis ". Proceedings of the 1982 Winter Simulation
Conference, 366-375 ( 1982 )
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