Minimax production planning in failure prone manufacturing systems

Considers 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...

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Published inProceedings of 1995 34th IEEE Conference on Decision and Control Vol. 3; pp. 3134 - 3139 vol.3
Main Authors Boukas, E.K., Yang, H., Zhang, Q.
Format Conference Proceeding
LanguageEnglish
Published IEEE Control Systems Society 1995
Subjects
Costs
Electric breakdown
Equations
Flexible manufacturing systems
Manufacturing systems
Minimax techniques
Optimal control
Production planning
Sufficient conditions
Viscosity
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Abstract Considers 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.
AbstractList Considers 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.
Author Yang, H.
Boukas, E.K.
Zhang, Q.
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  fullname: Zhang, Q.
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Snippet Considers a minimax production planning model of a flexible manufacturing system with machines that are subject to random breakdown and repair. The objective...
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StartPage 3134
SubjectTerms Costs
Electric breakdown
Equations
Flexible manufacturing systems
Manufacturing systems
Minimax techniques
Optimal control
Production planning
Sufficient conditions
Viscosity
Title Minimax production planning in failure prone manufacturing systems
URI https://ieeexplore.ieee.org/document/478628
Volume 3
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