Search results for "Constrained Shortest Path First"

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A class of label-correcting methods for the K shortest paths problem

2001

In this paper we deal with the problem of finding the first K shortest paths from a single origin node to all other nodes of a directed graph. In particular, we define the necessary and sufficient conditions for a set of distance label vectors, on the basis of which we propose a class of methods which can be viewed as an extension of the generic label-correcting method for solving the classical single-origin all-destinations shortest path problem. The data structure used is characterized by a set of K lists of candidate nodes, and the proposed methods differ in the strategy used to select the node to be extracted at each iteration. The computational results show that: 1. some label-correct…

Discrete mathematicsManagement Science and Operations ResearchComputer Science ApplicationsEuclidean shortest pathShortest Path Faster AlgorithmSettore SECS-S/06 -Metodi Mat. dell'Economia e d. Scienze Attuariali e Finanz.Shortest path problemK shortest path routingCanadian traveller problemYen's algorithmConstrained Shortest Path FirstDistanceK shortest paths problem label correcting methodsMathematics
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Optimal Paths on Urban Networks Using Travelling Times Prevision

2012

We deal with an algorithm that, once origin and destination are fixed, individuates the route that permits to reach the destination in the shortest time, respecting an assigned maximal travel time, and with risks measure below a given threshold. A fluid dynamic model for road networks, according to initial car densities on roads and traffic coefficients at junctions, forecasts the future traffic evolution, giving dynamical weights to a constrained 𝐾 shortest path algorithm. Simulations are performed on a case study to test the efficiency of the proposed procedure.

Mathematical optimizationTraffic congestion reconstruction with Kerner's three-phase theoryArticle SubjectComputer scienceFluid dynamic model; K shortest path algorithm; Travelling times previsionGeneral EngineeringTraffic simulationK shortest path algorithmMeasure (mathematics)lcsh:QA75.5-76.95Computer Science ApplicationsTraffic congestionFluid dynamic modelModeling and SimulationShortest path problemComputer Science::Networking and Internet Architecturelcsh:Electronic computers. Computer scienceTravelling times previsionDijkstra's algorithmConstrained Shortest Path FirstSimulationTraffic waveModelling and Simulation in Engineering
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