Minimax Production Planning in Failure-Prone Manufacturing Systems

E. K. Boukas*, H. Yang, Q. Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


In this paper, we consider a minimax production planning model of a flexible manufacturing system with machines that are subject to random breakdown and repair. The objective is to choose the rate of production that minimizes the related minimax cost of production and inventory/shortage. The value function is shown to be the unique viscosity solution to the associated Hamilton-Jacobi-Isaacs equation. Under certain conditions, it is shown that the value function is continuously differentiable. A verification theorem is given to provide a sufficient condition for optimal control. Finally, two examples are solved explicitly.

Original languageEnglish
Pages (from-to)269-286
Number of pages18
JournalJournal of Optimization Theory and Applications
Issue number2
Publication statusPublished - Nov 1995
Externally publishedYes


  • Flexible manufacturing systems
  • Hamilton-Jacobi-Isaacs equation
  • minimax production planning
  • viscosity solutions


Dive into the research topics of 'Minimax Production Planning in Failure-Prone Manufacturing Systems'. Together they form a unique fingerprint.

Cite this