Lifted Euclidean inequalities for the integer single node flow set with upper bounds
نویسندگان
چکیده
منابع مشابه
Lifted flow cover inequalities for mixed 0-1 integer programs
We investigate strong inequalities for mixed 0-1 integer programs derived from flow cover inequalities. Flow cover inequalities are usually not facet defining and need to be lifted to obtain stronger inequalities. However, because of the sequential nature of the standard lifting techniques and the complexity of the optimization problems that have to be solved to obtain lifting coefficients, lif...
متن کاملLifted Cover Inequalities for Integer Programs Complexity
We investigate several complexity issues related to branch and cut algorithms for integer programming based on lifted cover inequalities LCIs We show that given a fractional point determining a violated LCI over all minimal covers is NP hard The main result is that there exists a class of knapsack instances for which any branch and cut algorithm based on LCIs has to evaluate an exponential numb...
متن کاملLifted Cover Inequalities for Integer Programs Computation
We investigate the algorithmic and implementation issues related to the e ective and e cient use of lifted cover inequalities and lifted GUB cover inequalities in a branch and cut algorithm for integer programming We have tried various strategies on several test problems and we identify the best ones for use in practice
متن کاملOn n-step MIR and partition inequalities for integer knapsack and single-node capacitated flow sets
Pochet and Wolsey [Y. Pochet, L.A. Wolsey, Integer knapsack and flow covers with divisible coefficients: polyhedra, optimization and separation. Discrete Applied Mathematics 59(1995) 57–74] introduced partition inequalities for three substructures arising in various mixed integer programs, namely the integer knapsack set with nonnegative divisible/arbitrary coefficients and two forms of single-...
متن کاملLifted Cover Inequalities for 0-1 Integer Programs: Computation
We investigate the algorithmic and implementation issues related to the eeective and eecient use of lifted cover inequalities and lifted GUB cover inequalities in a branch-and-cut algorithm for 0-1 integer programming. We have tried various strategies on several test problems and we identify the best ones for use in practice. Branch-and-cut, with lifted cover inequalities as cuts, has been used...
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2016
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2015.10.057