Octane: A New Heuristic for Pure 0-1 Programs
Operations Research
Exploring relaxation induced neighborhoods to improve MIP solutions
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Pivot and shift-a mixed integer programming heuristic
Discrete Optimization
New hybrid matheuristics for solving the multidimensional knapsack problem
HM'10 Proceedings of the 7th international conference on Hybrid metaheuristics
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We introduce DISTANCE INDUCED NEIGHBOURHOOD SEARCH (DINS), aMIP improvement heuristic that tries to find improved MIP feasible solutions from a givenMIP feasible solution. DINS is based on a variation of local search that is embedded in an exact MIP solver, namely a branch-and-bound or a branch-and-cut MIP solver. The key idea is to use a distancemetric between the linear programming relaxation optimal solution and the currentMIP feasible solution to define search neighbourhoods at different nodes of the search tree generated by the exact solver. DINS considers each defined search neighbourhood as a new MIP problem and explores it by an exact MIP solver with a certain node limit. On a set of standard benchmark problems, DINS outperforms the MIP improvement heuristics Local Branching due to Fischetti and Lodi and Relaxation Induced Neighbourhood Search due to Danna, Rothberg, and Pape, as well as the generic commercial MIP solver Cplex.