Minimax production planning in failure prone manufacturing systems

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

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 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 (HJI) 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)3134-3139
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1995
Externally publishedYes
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: 13 Dec 199515 Dec 1995


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