(2014). The shortest-path problem with resource constraints with (k,2)-loop elimination and its application to the capacitated arc-routing problem. European Journal of Operational Research, 238(2), 415-426.Bode, C., Irnich, S., 2014. The shortest-path problem with resource constraints with...
However, it comes at the cost of additional task-2-loop elimination constraints. In this paper, we show that a combined ( k , 2 ) -loop elimination in the shortest-path subproblem can be accomplished in a computationally efficient way. Overall, the improved branch-and-price often allows ...
摘要: The shortest-path problem with constraints is widely practical.In this paper an algorithm of the nondominated path from the source point to the sink point at dictionary order is presented to get the shortest path with the constraints.The time complexity of the algorithm is also discussed....
Section 2 formally sets out the quickest path problem with interval lead times, or interval quickest path (IQP) problem in the sequel. Section 3 goes on considering order relations between intervals and Section 4 transforms the IQP problem into a sequence of bicriteria shortest path problems. In...
To solve real-life instances of the problem, we extended the standard MCNF path-flow formulation to the STC-MCNF. This can be done by incorporating the penalty term directly into the cost of each route, meaning that the formulation is similar to the standard MCNF but with updated route co...
In order to find the shortest route for your fleet of vehicles, you would have to calculate out all the possible combinations of those 10 stops (while satisfying constraints), and then check each one to find the best solution. The number of combinations is overwhelming. With 10 stops, there...
In fact the latter two problems are quite closely connected, and algorithms for the k-server problem can be used to solve the k-taxi problem. See (Coester and Koutsoupias 2019) for more details. For example UberPool has a waiting period of at most 2 minutes until you get a match (...
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However, a soft maximal route duration is considered. The authors propose one model based on chance constraints and two models with recourse where the recourse action is the payment of a penality if the maximal route duration is violated. The results obtained by a branch-and-cut algorithm on ...
In this problem, a set of customers, each with one demand, are scattered in a graph. The vehicle that delivers service to the customers is programmed to achieve one or more goals when its route satisfies the needs of customers along the routes [1], [2]. The classical VRP includes ...