Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Tabu Search for the (rvert p)-Centroid Problem Under Uncertainty. / Davydov, Ivan; Kozhevnikov, Roman.
Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 25-30 (Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Tabu Search for the (rvert p)-Centroid Problem Under Uncertainty
AU - Davydov, Ivan
AU - Kozhevnikov, Roman
N1 - This work was supported by the Russian Science Foundation, project no. 21–41–09017. Публикация для корректировки.
PY - 2023
Y1 - 2023
N2 - We consider the (r vert p)-centroid problem under an assumption of uncertainty in the input data. Two players, the leader and the follower, open facilities, striving to capture the largest market share. The leader opens p facilities, then the follower opens r facilities. Each customer chooses the nearest facility as his supplier and bring a particular income to the corresponding player. The aim is to choose p facilities of the leader in such a way as to maximize his market share. However, it is assumed that customers' purchasing power is not known exactly and can change after the decision made. This problem can be represented as a bilevel programming problem. In this work, we propose a local search approach based on a stochastic tabu search framework to tackle the problem. We provide the results of numerical experiments and compare the behavior of both players compared to the deterministic setting of the same problem.
AB - We consider the (r vert p)-centroid problem under an assumption of uncertainty in the input data. Two players, the leader and the follower, open facilities, striving to capture the largest market share. The leader opens p facilities, then the follower opens r facilities. Each customer chooses the nearest facility as his supplier and bring a particular income to the corresponding player. The aim is to choose p facilities of the leader in such a way as to maximize his market share. However, it is assumed that customers' purchasing power is not known exactly and can change after the decision made. This problem can be represented as a bilevel programming problem. In this work, we propose a local search approach based on a stochastic tabu search framework to tackle the problem. We provide the results of numerical experiments and compare the behavior of both players compared to the deterministic setting of the same problem.
KW - bi-level programming
KW - centroid
KW - metaheuristic
KW - uncertain data
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85175475020&origin=inward&txGid=373a91e6568f9111467dcefc12ab6435
UR - https://www.mendeley.com/catalogue/7edd3a8b-2032-3f6c-b8b3-ce414b43c3cd/
U2 - 10.1109/OPCS59592.2023.10275754
DO - 10.1109/OPCS59592.2023.10275754
M3 - Conference contribution
SN - 9798350331134
T3 - Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023
SP - 25
EP - 30
BT - Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023
PB - Institute of Electrical and Electronics Engineers Inc.
ER -
ID: 59187976