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Constructive characterizations of the value-function of a mixed-integer program I
Authors:C.E. Blair  R.G. Jeroslow
Affiliation:Dept. of Business Adm., Univ. of Illinois at Urbana-Champaign, Urbana, IL 61820, USA;College of Management, Georgia Institute of Technology, Atlanta, GA 30332, USA
Abstract:Recent work has provided explicit formulas for the value function of a pure integer program, and for indicator functions for the set of feasible right-hand sides. These formulas are based on linear functions, next-higher integer operations, sums, and maxima. In the present paper, we investigate possible extensions to mixed-integer programs.
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