1998
DOI: 10.1287/opre.46.3.330
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A Generalized Insertion Heuristic for the Traveling Salesman Problem with Time Windows

Abstract: This article describes a generalized insertion heuristic for the Traveling Salesman Problem with Time Windows in which the objective is the minimization of travel times. The algorithm gradually builds a route by inserting at each step a vertex in its neighbourhood on the current route, and performing a local reoptimization. This is done while checking the feasibility of the remaining part of the route. Backtracking is sometimes necessary. Once a feasible route has been determined, an attempt is made to improve… Show more

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Cited by 178 publications
(124 citation statements)
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“…To group together similar requests, the level of attraction between two requests is measured by the proximity between their pickup and delivery locations. As observed by Gendreau et al (1998b), it does not suffice to define neighborhoods using only distances or travel times, since two locations close to each other may have time windows that are far apart or even incompatible. Hence, both the spatial and time dimensions have to be considered in the characterization of a neighborhood.…”
Section: Neighborhoodsmentioning
confidence: 99%
“…To group together similar requests, the level of attraction between two requests is measured by the proximity between their pickup and delivery locations. As observed by Gendreau et al (1998b), it does not suffice to define neighborhoods using only distances or travel times, since two locations close to each other may have time windows that are far apart or even incompatible. Hence, both the spatial and time dimensions have to be considered in the characterization of a neighborhood.…”
Section: Neighborhoodsmentioning
confidence: 99%
“…Since finding feasible solutions to the TSPTW and m-TSPTW are NP-hard problems, most research has focused on heuristic algorithms [6,13,18,19,32]. These approaches are reviewed later in this paper.…”
Section: Introductionmentioning
confidence: 99%
“…For example, the first vertex is visited at time 2, and the second vertex is visited no earlier than the preceding vertex. In 1998, Gendreau et al [27] mentioned a heuristic method, a generalized insertion heuristic for the TSPTW. This formulation is closer to what the USVOPP requires, but since our goal is to maximize the value collected at each point, and not necessarily visit each point and find the minimum distance, we need to explore a method that maximizes value.…”
Section: The Traveling Salesman Problem With Time Windows (Tsptw)mentioning
confidence: 99%