Feasibility in reverse convex mixed-integer programming

Wiesława T. Obuchowska

European Journal of Operational Research, 2012, vol. 218, issue 1, 58-67

Abstract: In this paper we address the problem of the infeasibility of systems defined by reverse convex inequality constraints, where some or all of the variables are integer. In particular, we provide a polynomial algorithm that identifies a set of all constraints critical to feasibility (CF), that is constraints that may affect a feasibility status of the system after some perturbation of the right-hand sides. Furthermore, we will investigate properties of the irreducible infeasible sets and infeasibility sets, showing in particular that every irreducible infeasible set as well as infeasibility sets in the considered system, are subsets of the set CF of constraints critical to feasibility.

Keywords: Integer programming; Feasibility; Concave integer minimization; Reverse convex constraints; Sensitivity analysis; Irreducible infeasible sets (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:218:y:2012:i:1:p:58-67

DOI: 10.1016/j.ejor.2011.10.011

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