4.3 Review

Arc routing problems: A review of the past, present, and future

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On the Distance-Constrained Close Enough Arc Routing Problem

Angel Corberan et al.

Summary: Arc routing problems involve finding routes through a given set of arcs and/or edges that need to be serviced, with the Close-Enough Arc Routing Problem being a generalized version where customers can be serviced by traversing any arc in a given subset. This paper focuses on the Distance-Constrained Close Enough Arc Routing Problem, aiming to find a set of routes with minimum total cost while not exceeding a maximum distance. The authors propose a new formulation and use a branch-and-cut algorithm with valid inequalities to solve the problem, conducting computational experiments and comparing results with other methods.

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