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Journal ArticleDOI

Discrete Optimization via Simulation Using COMPASS

TLDR
In this article, an optimization-via-simulation algorithm, called COMPASS, was proposed for estimating the performance measure via a stochastic, discrete-event simulation, and the decision variables were integer ordered.
Abstract
We propose an optimization-via-simulation algorithm, called COMPASS, for use when the performance measure is estimated via a stochastic, discrete-event simulation, and the decision variables are integer ordered. We prove that COMPASS converges to the set of local optimal solutions with probability 1 for both terminating and steady-state simulation, and for both fully constrained problems and partially constrained or unconstrained problems under mild conditions.

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Citations
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Probability and Measure

P.J.C. Spreij
Journal ArticleDOI

Simulation for manufacturing system design and operation: Literature review and analysis

TL;DR: A comprehensive review of discrete event simulation publications published between 2002 and 2013 with a particular focus on applications in manufacturing is provided in this paper, where the literature is classified into three general classes of manufacturing system design, manufacturing system operation, and simulation language/package development.
Journal ArticleDOI

Simulation optimization: a review of algorithms and applications

TL;DR: Simulation optimization (SO) refers to the optimization of an objective function subject to constraints, both of which can be evaluated through a stochastic simulation as discussed by the authors, where discrete or continuous decisions, expensive or cheap simulations, single or multiple outputs, homogeneous or heterogeneous noise, etc.
Journal ArticleDOI

A unified framework for stochastic optimization

TL;DR: It is argued that the principles of bandit problems should become a core dimension of mainstream stochastic optimization, and a universal modeling framework is proposed that encompasses all of these competing approaches.
Journal ArticleDOI

Practical Heteroscedastic Gaussian Process Modeling for Large Simulation Experiments

TL;DR: A unified view of likelihood based Gaussian progress regression for simulation experiments exhibiting input-dependent noise is presented, and a latent-variable idea from machine learning is borrowed to address heteroscedasticity, thereby simultaneously leveraging the computational and statistical efficiency of designs with replication.
References
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Book

Probability and Measure

TL;DR: In this paper, the convergence of distributions is considered in the context of conditional probability, i.e., random variables and expected values, and the probability of a given distribution converging to a certain value.
Book

Large Deviations Techniques and Applications

Amir Dembo, +1 more
TL;DR: The LDP for Abstract Empirical Measures and applications-The Finite Dimensional Case and Applications of Empirically Measures LDP are presented.
Journal ArticleDOI

The Sample Average Approximation Method for Stochastic Discrete Optimization

TL;DR: A Monte Carlo simulation--based approach to stochastic discrete optimization problems, where a random sample is generated and the expected value function is approximated by the corresponding sample average function.

Probability and Measure

P.J.C. Spreij
Journal ArticleDOI

Simulation Budget Allocation for Further Enhancing theEfficiency of Ordinal Optimization

TL;DR: This paper presents a new approach that can further enhance the efficiency of ordinal optimization, which determines a highly efficient number of simulation replications or samples and significantly reduces the total simulation cost.
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