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Hickman, R. (2014) Generating Cutting Planes through Inequality Merging for Integer Programming Problems. PhD Dissertation, Department of Industrial and Manufacturing Systems Engineering, Kansas State University, Manhattan.

has been cited by the following article:

• TITLE: On Merging Cover Inequalities for Multiple Knapsack Problems

  AUTHORS: Randal Hickman, Todd Easton

  KEYWORDS: Multiple Knapsack Problem, Cutting Plane, Cover Inequality, Inequality Merging, Pseudocost, Integer Programming

  JOURNAL NAME: Open Journal of Optimization, Vol.4 No.4, December 25, 2015

  ABSTRACT: This paper describes methods to merge two cover inequalities and also simultaneously merge multiple cover inequalities in a multiple knapsack instance. Theoretical results provide conditions under which merged cover inequalities are valid. Polynomial time algorithms are created to find merged cover inequalities. A computational study demonstrates that merged inequalities improve the solution times for benchmark multiple knapsack instances by about 9% on average over CPLEX with default settings.