Generalizations of the shortest-path problem

1996 ◽  
pp. 52-77
Keyword(s):  
Shortest Path ◽  
Shortest Path Problem

Application of Genetic Algorithm in modeling of Shortest Path problem

2020 ◽  
Author(s):  
Zhihui Yang ◽  
Huiwen Xia ◽  
Fuwen Su ◽  
Jiayu Zhao ◽  
Fan Feng
Keyword(s):  
Genetic Algorithm ◽  
Shortest Path ◽  
Shortest Path Problem

Distributionally robust maximum probability shortest path problem

2021 ◽  
Author(s):  
Rashed Khanjani-Shiraz ◽  
Ali Babapour-Azar ◽  
Zohreh Hosseini-Noudeh ◽  
Panos M. Pardalos
Keyword(s):  
Shortest Path ◽  
Shortest Path Problem ◽  
Maximum Probability ◽  
Distributionally Robust

scholarly journals A Comparison of Genetic Representations and Initialisation Methods for the Multi-objective Shortest Path Problem on Multigraphs

2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Lilla Beke ◽  
Michal Weiszer ◽  
Jun Chen
Keyword(s):  
Shortest Path ◽  
Time Budget ◽  
Exact Algorithm ◽  
Simple Graph ◽  
Shortest Path Problem ◽  
Future Application ◽  
Multi Objective ◽  
Trade Offs ◽  
Conflicting Objectives ◽  
Problem Instances

AbstractThis paper compares different solution approaches for the multi-objective shortest path problem (MSPP) on multigraphs. Multigraphs as a modelling tool are able to capture different available trade-offs between objectives for a given section of a route. For this reason, they are increasingly popular in modelling transportation problems with multiple conflicting objectives (e.g., travel time and fuel consumption), such as time-dependent vehicle routing, multi-modal transportation planning, energy-efficient driving, and airport operations. The multigraph MSPP is more complex than the NP-hard simple graph MSPP. Therefore, approximate solution methods are often needed to find a good approximation of the true Pareto front in a given time budget. Evolutionary algorithms have been successfully applied for the simple graph MSPP. However, there has been limited investigation of their applications to the multigraph MSPP. Here, we extend the most popular genetic representations to the multigraph case and compare the achieved solution qualities. Two heuristic initialisation methods are also considered to improve the convergence properties of the algorithms. The comparison is based on a diverse set of problem instances, including both bi-objective and triple objective problems. We found that the metaheuristic approach with heuristic initialisation provides good solutions in shorter running times compared to an exact algorithm. The representations were all found to be competitive. The results are encouraging for future application to the time-constrained multigraph MSPP.

SHORTEST PATH TECHNIQUE FOR SWITCHING IN A MESH NETWORK

2012 ◽  
Vol 09 ◽  
pp. 488-494
Author(s):  
WAN NOR MUNIRAH ARIFFIN ◽  
SHAZALINA MAT ZIN ◽  
SHAHARUDDIN SALLEH
Keyword(s):  
Simulation Model ◽  
Shortest Path ◽  
Shortest Path Problem ◽  
Mesh Network ◽  
Broadcast Communication ◽  
Switching Mechanism

Switching is a technique to route data and instructions between pairs of source-destination nodes or among multiple nodes for broadcast communication. We realized that the shortest path problem has a wide application in the design of networks. Therefore, in this paper, we present a mesh network as our switching mechanism for computing the shortest path between the source and destination in our simulation model, developed using C++ on the Windows environment. The Floyd-Warshall algorithm is applied in finding the shortest path in all-pairs nodes.

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