Reactive GRASP for the Prize-collecting Covering Tour Problem
نویسندگان
چکیده
This paper presents a Greedy Randomized Adaptive Search Procedure (GRASP) for the Prize-Collecting Covering Tour Problem (PCCTP), which is problem of finding route traveling teams that provide services to communities geographically distant from large urban locations. We devised novel hybrid heuristic by combining reactive extension GRASP with Random Variable Neighborhood (VND) meta-heuristic purpose solving PCCTP. Computational experiments were conducted on PCCTP benchmark literature, and results demonstrate our approach provides significant improvement in comparable state-of-the-art, mainly regarding computational processing time.
منابع مشابه
GRASP Metaheuristics to the Generalized Covering Tour Problem
Let G = (V ∪W,E) be an undirected graph, where V ∪W = {1, ..., n} is the vertex set and E = {(i, j) | i, j ∈ V ∪W, i < j} is the edge set. Vertex s = 1 is the source vertex, V is a set of vertices that might be visited, T ⊆ V is a set of vertices that must be visited (s ∈ T ), and W is a set of vertices that must be covered. A symmetric distance matrix C = (cij), defined on E, uses the Euclidea...
متن کاملTwo new heuristic algorithms for Covering Tour Problem
Covering Tour Problem (CTP) is the generalized form of Traveling Salesman Problem (TSP), which has found different applications in the designing of distribution networks, disaster relief, and transportation routing. The purpose of this problem is to determine the Hamiltoniancyclewiththe lowest costusinga subset of all the nodes, such that the other nodes would be in a distance shorter than the ...
متن کاملAn Hybrid GRASP+VNS Metaheuristic for the Prize-Collecting Traveling Salesman Problem
In the Prize-Collecting Traveling Salesman Problem (PCTSP) we have to determine a tour visiting each vertex in the graph at most one time. If a given vertex is selected then an associated prize is collected, if a vertex is unrouted a penalty must be paid. We want to minimize an objective function balancing between the travel cost and the total penalties in a such way that a sufficiently large p...
متن کاملSolving the Prize-collecting Rural Postman Problem
In this work we present an algorithm for solving the Prize-collecting Rural Postman Problem. This problem was recently defined and is a generalization of other arc routing problems like, for instance, the Rural Postman Problem. The main difference is that there are no required edges. Instead, there is a profit function on the edges that must be taken into account only the first time that an edg...
متن کاملThe Prize Collecting Steiner Tree Problem
This work is motivated by an application in local access network design that can be modeled using the KP-hard Prize Collecting Steiner Tree problem. We consider several variants on this problem and on the primal-dual 2-approximation algorithm devised for it by Goemans and Williamson. We develop several modifications to the algorithm which lead to theoretical as well as practical improvements in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rairo-operations Research
سال: 2021
ISSN: ['1290-3868', '0399-0559']
DOI: https://doi.org/10.1051/ro/2021057