Search results for "Constraint matrix"

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Optimal Switches in Multi–inventory Systems

2007

Given a switched multi-inventory system we wish to find the optimal schedule of the resets to maintain the system in a safe operating interval, while minimizing a function related to the cost of the resets. We discuss a family of instances that can be solved in polynomial time by linear programming. We do this by introducing a set-covering formulation with a totally unimodular constraint matrix.

Mathematical optimizationScheduleUnimodular matrixLinear programmingInterval (mathematics)Function (mathematics)Constraint matrixTime complexityMathematics

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