Lifted Cover Inequalities for Integer Programs Complexity

نویسندگان

  • Zonghao Gu
  • George L Nemhauser
  • Martin W P Savelsbergh
چکیده

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 number of nodes to prove optimality

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تاریخ انتشار 1998