Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Metaheuristics for Finding the Stability Radius in the Bilevel Facility Location and Uniform Pricing Problem. / Vodyan, Maxim; Panin, Artem; Plyasunov, Aleksandr.
Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 130-135 (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 - Metaheuristics for Finding the Stability Radius in the Bilevel Facility Location and Uniform Pricing Problem
AU - Vodyan, Maxim
AU - Panin, Artem
AU - Plyasunov, Aleksandr
N1 - The work was supported by the Russian Science Foundation (project 23-21-00424). Публикация для корректировки.
PY - 2023
Y1 - 2023
N2 - We consider a threshold stability problem for the facility location and uniform pricing problem with median-type location. In the threshold stability problem, the deviation from current customer budgets is maximized. The value of the maximum deviation is called threshold stability radius. The solution of the problem is called feasible if the leader's revenue is not less than a predetermined value (threshold) and it satisfies all the constraints of the facility location and uniform pricing problem for any deviation of budgets that does not exceed the threshold stability radius. In this paper, we develop two approximate algorithms for solving the threshold stability problem based on variable neighborhood descent (VND) heuristics. These algorithms are based on the ideas of finding optimal facility location or good approximate facility location and on the ideas of finding optimal pricing in the facility location and uniform pricing problem. The algorithms differ in the way of comparing different facility locations, which eventually leads to different estimates of the threshold stability radius. The numerical experiment has shown the efficiency of the chosen approach, both in terms of the running time of the algorithms and the quality of the obtained solutions.
AB - We consider a threshold stability problem for the facility location and uniform pricing problem with median-type location. In the threshold stability problem, the deviation from current customer budgets is maximized. The value of the maximum deviation is called threshold stability radius. The solution of the problem is called feasible if the leader's revenue is not less than a predetermined value (threshold) and it satisfies all the constraints of the facility location and uniform pricing problem for any deviation of budgets that does not exceed the threshold stability radius. In this paper, we develop two approximate algorithms for solving the threshold stability problem based on variable neighborhood descent (VND) heuristics. These algorithms are based on the ideas of finding optimal facility location or good approximate facility location and on the ideas of finding optimal pricing in the facility location and uniform pricing problem. The algorithms differ in the way of comparing different facility locations, which eventually leads to different estimates of the threshold stability radius. The numerical experiment has shown the efficiency of the chosen approach, both in terms of the running time of the algorithms and the quality of the obtained solutions.
KW - bilevel optimization
KW - facility location
KW - pricing
KW - threshold stability problem
KW - threshold stability radius
KW - variable neighborhood descent
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85175491465&origin=inward&txGid=38e6133da246238f95b6882c21e102cc
UR - https://www.mendeley.com/catalogue/d89eafc7-5fb9-306d-80c7-a975d0b10929/
U2 - 10.1109/OPCS59592.2023.10275325
DO - 10.1109/OPCS59592.2023.10275325
M3 - Conference contribution
SN - 9798350331134
T3 - Proceedings - 2023 19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023
SP - 130
EP - 135
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: 59181572