Abstract
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.
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References
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Bauso, D. (2007). Optimal Switches in Multi–inventory Systems. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_51
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DOI: https://doi.org/10.1007/978-3-540-71493-4_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71492-7
Online ISBN: 978-3-540-71493-4
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