The Linear Programming Approach to Approximate Dynamic Programming

  • Authors:
  • D. P. de Farias;B. Van Roy

  • Affiliations:
  • -;-

  • Venue:
  • Operations Research
  • Year:
  • 2003

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Abstract

The curse of dimensionality gives rise to prohibitive computational requirements that render infeasible the exact solution of large-scale stochastic control problems. We study an efficient method based on linear programming for approximating solutions to such problems. The approach "fits" a linear combination of pre-selected basis functions to the dynamic programming cost-to-go function. We develop error bounds that offer performance guarantees and also guide the selection of both basis functions and "state-relevance weights" that influence quality of the approximation. Experimental results in the domain of queueing network control provide empirical support for the methodology.