A heuristic method for solving integer-valued decompositional multiindex problems
L. G. Afraimovich · Automation and Remote Control · 2014
We consider NP-hard integer-valued multiindex problems of transportation type. We distinguish a subclass of polynomially solvable multiindex problems, namely multiindex problems with decomposition structure. We construct a general scheme for a heuristic method to solve a number of similar NP-hard decompositional multiindex problems. For one version of implementation for this scheme, we estimate its deviation from the optimum. We illustrate our results with the example of designing a class schedule.