Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Local Search Approach for the (r|p)-Centroid Problem Under ℓ1 Metric. / Davydov, Ivan; Gusev, Petr.
Variable Neighborhood Search - 7th International Conference, ICVNS 2019, Revised Selected Papers. ed. / Rachid Benmansour; Angelo Sifaleras; Nenad Mladenovic. Springer Gabler, 2020. p. 81-94 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12010 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Local Search Approach for the (r|p)-Centroid Problem Under ℓ1 Metric
AU - Davydov, Ivan
AU - Gusev, Petr
N1 - Publisher Copyright: © 2020, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - In the-centroid problem, two players, called the Leader and the Follower, open facilities to service customers. We assume that customers are identified with their location on the plane, and facilities can be opened anywhere on the plane. The Leader opens p facilities. Later on, the Follower opens r facilities. Each customer patronizes the closest facility. The distances are calculated according to-metric. The goal is to find the location of the Leader’s facilities maximizing her market share. We provide the results on the computational complexity of this problem and develop a local search heuristic, based on the VNS framework. Computational experiments on the randomly generated test instances show that the proposed approach performs well.
AB - In the-centroid problem, two players, called the Leader and the Follower, open facilities to service customers. We assume that customers are identified with their location on the plane, and facilities can be opened anywhere on the plane. The Leader opens p facilities. Later on, the Follower opens r facilities. Each customer patronizes the closest facility. The distances are calculated according to-metric. The goal is to find the location of the Leader’s facilities maximizing her market share. We provide the results on the computational complexity of this problem and develop a local search heuristic, based on the VNS framework. Computational experiments on the randomly generated test instances show that the proposed approach performs well.
KW - (R-P)-centroid
KW - Bilevel programming
KW - Facility location
KW - Manhattan metric
KW - Stackelberg game
KW - Variable neighborhood search
UR - http://www.scopus.com/inward/record.url?scp=85084747744&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-44932-2_6
DO - 10.1007/978-3-030-44932-2_6
M3 - Conference contribution
AN - SCOPUS:85084747744
SN - 9783030449315
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 81
EP - 94
BT - Variable Neighborhood Search - 7th International Conference, ICVNS 2019, Revised Selected Papers
A2 - Benmansour, Rachid
A2 - Sifaleras, Angelo
A2 - Mladenovic, Nenad
PB - Springer Gabler
T2 - 7th International Conference on Variable Neighborhood Search, ICVNS 2019
Y2 - 3 October 2019 through 5 October 2019
ER -
ID: 24312775