constrained shortest path
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2021 ◽  
pp. 1-13
Author(s):  
Xinghao Chen ◽  
Bin Zhou

Path planning is the basis and prerequisite for unmanned aerial vehicle (UAV) to perform tasks, and it is important to achieve precise location in path planning. This paper focuses on solving the UAV path planning problem under the constraint of system positioning error. Some nodes can re-initiate the accumulated flight error to zero and this type of scenario can be modeled as the resource-constrained shortest path problem with re-initialization (RCSPP-R). The additional re-initiation conditions expand the set of viable paths for the original constrained shortest path problem and increasing the search cost. To solve the problem, an effective preprocessing method is proposed to reduce the network nodes. At the same time, a relaxed pruning strategy is introduced into the traditional Pulse algorithm to reduce the search space and avoid more redundant calculations on unfavorable scalable nodes by the proposed heuristic search strategy. To evaluate the accuracy and effectiveness of the proposed algorithm, some numerical experiments were carried out. The results indicate that the three strategies can reduce the search space by 99%, 97% and 80%, respectively, and in the case of a large network, the heuristic algorithm combining the three strategies can improve the efficiency by an average of 80% compared to some classical solution.


Author(s):  
Ali Abbaszadeh Sori ◽  
Ali Ebrahimnejad ◽  
Homayun Motameni ◽  
Jose Luis Verdegay

One of the important issues under discussion connected with traffic on the roads is improving transportation. In this regard, spatial information, including the shortest path, is of particular importance due to the reduction of economic and environmental costs. Here, the constrained shortest path (CSP) problem which has an important application in location-based online services is considered. The aim of this problem is to find a path with the lowest cost where the traversal time of the path does not exceed from a predetermined time bound. Since precise prediction of cost and time of the paths is not possible due to traffic and weather conditions, this paper discusses the CSP problems with fuzzy cost and fuzzy time. After formulating the CSP problem an efficient algorithm for finding the constrained optimal path is designed. The application of the proposed model is presented on a location-based online service called Snap.


Networks ◽  
2020 ◽  
Vol 76 (2) ◽  
pp. 128-146 ◽  
Author(s):  
Nicolás Cabrera ◽  
Andrés L. Medaglia ◽  
Leonardo Lozano ◽  
Daniel Duque

2020 ◽  
Vol 40 (1) ◽  
pp. 110-140
Author(s):  
Zohreh Hosseini Nodeh ◽  
Ali Babapour Azar ◽  
Rashed Khanjani Shiraz ◽  
Salman Khodayifar ◽  
Panos M. Pardalos

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