6533b7defe1ef96bd1275b0a

RESEARCH PRODUCT

Optimal Switches in Multi–inventory Systems

Dario Bauso

subject

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

description

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.

https://doi.org/10.1007/978-3-540-71493-4_51