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In many applications of vehicle routing, a set of time windows are feasiblefor each visit, giving rise to the Vehicle Routing Problem with Multiple TimeWindows (VRPMTW). We argue that such disjunctions are problematic for manysolution methods, and exemplify this using a state of the art Adaptive LargeNeighbourhood Search heuristic. VRPMTW comes in two variants depending onwhether the time used en route must be minimised. A more compact and correctedmathematical formulation for both variants of the problem is presented, and newbest solutions for all but six benchmark instances of VRPMTW without timeminimisation is found. A new solution representation for VRPMTW with timeminimisation is presented, its importance is demonstrated and it is used tofind new best solutions for all but one benchmark instance of VRPMTW with timeminimisation.

Fast delta evaluation for the Vehicle Routing Problem with Multiple Time Windows