Search results for "Cutting planes"

showing 3 items of 3 documents

A Branch-Price-and-Cut Algorithm for the Min-Max k -Vehicle Windy Rural Postman Problem

2013

[EN] The min-max k -vehicles windy rural postman problem consists of minimizing the maximal distance traveled by a vehicle to find a set of balanced routes that jointly service all the required edges in a windy graph. This is a very difficult problem, for which a branch-and-cut algorithm has already been proposed, providing good results when the number of vehicles is small. In this article, we present a branch-price-and-cut method capable of obtaining optimal solutions for this problem when the number of vehicles is larger for the same set of required edges. Extensive computational results on instances from the literature are presented.

Difficult problemService (systems architecture)Mathematical optimizationComputer Networks and CommunicationsBranch and priceColumn generationSet (abstract data type)Rural postman problemHardware and ArchitectureCutting planesGraph (abstract data type)Branch-and-priceColumn generationWindy rural postman problemMATEMATICA APLICADAAlgorithmSoftwareInformation SystemsMathematicsMultivehicle
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Lower bounds and heuristics for the Windy Rural Postman Problem

2020

[EN] In this paper we present several heuristic algorithms and a cutting-plane algorithm for the Windy Rural Postman Problem. This problem contains several important Arc Routing Problems as special cases and has very interesting real-life applications. Extensive computational experiments over different sets of instances are also presented.

Mathematical optimizationInformation Systems and ManagementGeneral Computer ScienceHeuristic (computer science)Management Science and Operations ResearchUpper and lower boundsIndustrial and Manufacturing EngineeringWindy Rural Postman ProblemModeling and SimulationCutting planesHeuristicsRouting (electronic design automation)HeuristicsMATEMATICA APLICADAAlgorithmArc routingCutting-plane methodMathematicsRouting
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The Multi-period Multi-trip Container Drayage Problem with Release and Due Dates

2021

Abstract The Container Drayage Problem (CDP) aims at routing a fleet of trucks, based at a common terminal, to serve customers while minimizing the total travel distance. Each trip starts from and ends at the terminal, and handles a subset of customers. Each customer requires either that a container is picked up or delivered. We introduce a more realistic variant, i.e., the Multi-trip Multi-period CDP with Release and Due Dates (MM-CDP-RDD), in which the planning horizon is composed of several periods (days). On each day, each truck may perform more than one trip respecting the Release and Due Dates (RDD) associated with customer services, corresponding to the first and the last day on whic…

TruckService (business)Routing Multi-trip Vehicle Routing Multi-period Vehicle Routing Combinatorial Benders’ CutsGeneral Computer ScienceOperations researchComputer scienceVehicle routing problem Alternative fuel vehicles Mixed integer linear programming Cutting planes Fueling pump reservationTime horizonManagement Science and Operations ResearchMulti-trip Vehicle RoutingMulti-period Vehicle RoutingSet (abstract data type)Terminal (electronics)Modeling and SimulationContainer (abstract data type)Combinatorial Benders’ CutsSettore MAT/09 - Ricerca OperativaRouting (electronic design automation)Integer programmingRoutingComputers & Operations Research
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