Stochastic approximation algorithms for constrained optimization via simulation
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Simulation-based optimization over discrete sets with noisy constraints
Proceedings of the Winter Simulation Conference
ACM Transactions on Modeling and Computer Simulation (TOMACS)
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This paper presents a version of the Simultaneous Perturbation Stochastic Approximation (SPSA) algorithm for optimizing non-separable functions over discrete sets under given constraints. The primary motivation for discrete SPSA is to solve a class of resource allocation problems wherein the goal is to distribute a finite number of discrete resources to finitely many users in such a way as to optimize a specified objective function. The basic algorithm and the application of the algorithm to the optimal resource allocation problem is discussed and simulation results are presented which illustrate its performance.