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Stochastic Optimization by Simulation: Convergence Proofs for the GI/G/1 Queue in Steady-State
16 references·16 citing·38 second hopsampled
Stochastic Optimization by Simulation: Convergence Proofs for the GI/G/1 Queue in Steady-State (1994)Stochastic Optimization by Simulation: Co…Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method (1995)Discrete Event Systems: Sensi…Optimization of Queues Using an Infinitesimal Perturbation Analysis-Based Stochastic Algorithm with General Update Times (1993)Optimization of Queues Using …Some Guidelines and Guarantees for Common Random Numbers (1992)Some Guidelines and Guarantee…Multivariate stochastic approximation using a simultaneous perturbation gradient approximation (1992)Multivariate stochastic appro…Likelihood ratio gradient estimation for stochastic systems (1990)Likelihood ratio gradient est…A Unified View of the IPA, SF, and LR Gradient Estimation Techniques (1990)A Unified View of the IPA, SF…Stochastic Modeling and the Theory of Queues (1989)Stochastic Modeling and the T…Sensitivity Analysis for Simulations via Likelihood Ratios (1989)Sensitivity Analysis for Simu…Sensitivity Analysis and Performance Extrapolation for Computer Simulation Models (1989)Sensitivity Analysis and Perf…Perturbation analysis: the state of the art and research issues explained via the GI/G/1 queue (1989)Perturbation analysis: the st…Stopped Random Walks (1988)Stopped Random WalksConvergence Properties of Infinitesimal Perturbation Analysis Estimates (1988)Convergence Properties of Inf…Optimization in simulation (1987)Optimization in simulationMonte Carlo Optimization, Simulation and Sensitivity of Queueing Networks. (1987)Monte Carlo Optimization, Sim…Applied Probability and Queues (1987)Applied Probability and QueuesKushner, H. J./Clark, D. S., Stochastic Approximation Methods for Constrained and Unconstrained Systems. (Applied Mathematical Sciences 26). Berlin‐Heidelberg‐New York, Springer‐Verlag 1978. X, 261 S., 4 Abb., DM 26,40. US $ 13.20 (1980)Kushner, H. J./Clark, D. S., …Stochastic Gradient Estimation (2014)Stochastic Gradient EstimationSimulation optimization using metamodels (2009)Simulation optimization using…Adaptive Newton-based multivariate smoothed functional algorithms for simulation optimization (2007)Adaptive Newton-based multiva…Adaptive multivariate three-timescale stochastic approximation algorithms for simulation based optimization (2005)Adaptive multivariate three-t…Stochastic root finding via retrospective approximation (2001)Stochastic root finding via r…Simulation optimization: a survey of simulation optimization techniques and procedures (2000)Simulation optimization: a su…Budget-Dependent Convergence Rate of Stochastic Approximation (1998)Budget-Dependent Convergence …Optimization of discrete event systems via simultaneous perturbation stochastic approximation (1997)Optimization of discrete even…Constrained optimization via stochastic approximation with a simultaneous perturbation gradient approximation (1997)Constrained optimization via …Stochastic Approximation Methods for Systems over an Infinite Horizon (1996)Stochastic Approximation Meth…Simulation-based optimization—convergence analysis and statistical inference (1996)Simulation-based optimization…Convergence analysis of gradient descent stochastic algorithms (1996)Convergence analysis of gradi…A Stochastic Approximation Algorithm with Varying Bounds (1995)A Stochastic Approximation Al…Stochastic optimization of regenerative systems using infinitesimal perturbation analysis (1994)Stochastic optimization of re…Stochastic Optimization by Simulation: Numerical Experiments with the M/M/1 Queue in Steady-State (1994)Stochastic Optimization by Si…On the Convergence Rates of IPA and FDC Derivative Estimators (1994)On the Convergence Rates of I…Point Processes and Queues (1981)Perturbation Analysis Gives Strongly Consistent Sensitivity Estimates for the M/G/1 Queue (1988)Chapter 5 Performance evaluation of production networks (1993)Estimating Quantile Sensitivities (2008)Importance Sampling for Stochastic Simulations (1989)Nested Partitions Method for Stochastic Optimization (2000)A review of simulation optimization techniques (2002)Simulation optimization: A comprehensive review on theory and applications (2004)Introduction to Stochastic Processes (2014)Gradient Estimation via Perturbation Analysis (1991)Optimization via simulation: A review (1994)A simulation-based approach to two-stage stochastic programming with recourse (1998)A Guide to Sample Average Approximation (2014)Monte Carlo sampling-based methods for stochastic optimization (2014)A Guide to Simulation. (1985)A guide to simulation (2nd ed.) (1986)Active Nonlinear Tests (ANTs) of Complex Simulation Models (1998)Chapter 19 Gradient Estimation (2006)On loss functions and ranking forecasting performances of multivariate volatility models (2012)Stochastic Estimation of the Maximum of a Regression Function (1952)Implementation of the simultaneous perturbation algorithm for stochastic optimization (1998)Feature Article: Optimization for simulation: Theory vs. Practice (2002)Simulation optimization: a review of algorithms and applications (2015)A Stochastic Approximation Method (1951)Personal communication (1989)Sample-path optimization of convex stochastic performance functions (1996)Perturbation realization, potentials, and sensitivity analysis of Markov processes (1997)Acyclic fork-join queuing networks (1989)Simulation-Based Optimization with Stochastic Approximation Using Common Random Numbers (1999)Cold supply chain design with environmental considerations: A simulation-optimization approach (2015)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)Statistical Analysis of a Telephone Call Center (2005)Simulation modeling for analysis (2010)The Asymptotic Efficiency of Simulation Estimators (1992)Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)A stochastic mesh method for pricing high-dimensional American options (2004)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 1987Applied Probability and Queues2,704 cited
  • 1992Multivariate stochastic approximation using a simultaneous perturbation gradient approximation2,282 cited
  • 1989Stochastic Modeling and the Theory of Queues1,605 cited
  • 1988Stopped Random Walks384 cited
  • 1995Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method383 cited
  • 1990Likelihood ratio gradient estimation for stochastic systems381 cited
  • 1989Sensitivity Analysis for Simulations via Likelihood Ratios253 cited
  • 1990A Unified View of the IPA, SF, and LR Gradient Estimation Techniques211 cited
  • 1989Perturbation analysis: the state of the art and research issues explained via the GI/G/1 queue211 cited
  • 1992Some Guidelines and Guarantees for Common Random Numbers185 cited
  • 1989Sensitivity Analysis and Performance Extrapolation for Computer Simulation Models179 cited
  • 1988Convergence Properties of Infinitesimal Perturbation Analysis Estimates157 cited
  • 1980Kushner, H. J./Clark, D. S., Stochastic Approximation Methods for Constrained and Unconstrained Systems. (Applied Mathematical Sciences 26). Berlin‐Heidelberg‐New York, Springer‐Verlag 1978. X, 261 S., 4 Abb., DM 26,40. US $ 13.20120 cited
  • 1987Optimization in simulation101 cited

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  • 1987Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks.99 cited
  • 1993Optimization of Queues Using an Infinitesimal Perturbation Analysis-Based Stochastic Algorithm with General Update Times78 cited
  • Cited by

    • 1994On the Convergence Rates of IPA and FDC Derivative Estimators100 cited
    • 2009Simulation optimization using metamodels93 cited
    • 2014Stochastic Gradient Estimation90 cited
    • 1994Stochastic Optimization by Simulation: Numerical Experiments with the M/M/1 Queue in Steady-State90 cited
    • 1996Convergence analysis of gradient descent stochastic algorithms87 cited
    • 1997Constrained optimization via stochastic approximation with a simultaneous perturbation gradient approximation84 cited
    • 2001Stochastic root finding via retrospective approximation76 cited
    • 2005Adaptive multivariate three-timescale stochastic approximation algorithms for simulation based optimization70 cited
    • 1998Budget-Dependent Convergence Rate of Stochastic Approximation69 cited
    • 2000Simulation optimization: a survey of simulation optimization techniques and procedures67 cited
    • 1995A Stochastic Approximation Algorithm with Varying Bounds67 cited
    • 1996Simulation-based optimization—convergence analysis and statistical inference55 cited
    • 1994Stochastic optimization of regenerative systems using infinitesimal perturbation analysis55 cited
    • 2007Adaptive Newton-based multivariate smoothed functional algorithms for simulation optimization52 cited
    • 1997Optimization of discrete event systems via simultaneous perturbation stochastic approximation52 cited
    • 1996Stochastic Approximation Methods for Systems over an Infinite Horizon50 cited