Mathematics > Optimization and Control
[Submitted on 12 Mar 2020 (v1), last revised 28 Sep 2020 (this version, v3)]
Title:A Polyhedral Approach to Bisubmodular Function Minimization
View PDFAbstract:We consider minimization problems with bisubmodular objective functions. We propose valid inequalities, namely the poly-bimatroid inequalities, and provide a complete linear description of the convex hull of the epigraph of a bisubmodular function. Furthermore, we develop a cutting plane algorithm for constrained bisubmodular minimization based on the poly-bimatroid inequalities. Our computational experiments on the minimization subproblem in robust coupled sensor placement show that our algorithm can solve highly non-linear problems that do not admit compact mixed-integer linear formulations.
Submission history
From: Simge Kucukyavuz [view email][v1] Thu, 12 Mar 2020 21:58:54 UTC (44 KB)
[v2] Thu, 23 Jul 2020 22:32:30 UTC (15 KB)
[v3] Mon, 28 Sep 2020 23:55:49 UTC (14 KB)
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