Derivation and Improvement of Some Existing Cuts Through Disjunctive Principles

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 181)


In discussing the basic disjunctive cut principle, we indicated that it subsumes all other cut generation principles. In this chapter, we will demonstrate this to a certain extent by actually deriving some existing cutting planes as disjunctive cuts. In the process, it will be seen that the disjunctive principles may be used to actually improve upon three cuts. In fact, for the first type of cut we discuss below, we will utilize the concepts of Chapter IV to obtain an improved version of the existing cut.


Half Line Basic Feasible Solution Disjunctive Program Nonbasic Variable Simplex Tableau 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  1. 1.School of Industrial Engineering and Operations ResearchVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.School of Industrial and Systems EngineeringGeorgia Institute of TechnologyAtlantaUSA

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