Ergodic control problems for optimal stochastic production planning with production constraints

  • Authors:
  • M. Ohashi

  • Affiliations:
  • Department of Mathematical Sciences, The University of Tokushima Tokushima 770, Japan

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2000

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Abstract

We study the ergodic control problem related to stochastic production planning in a single product manufacturing system with production constraints. The existence of a solution to the corresponding Hamilton-Jacobi-Bellman equation and its properties are shown. Furthermore, the optimal control for the ergodic control problem and an example are given.