caa a22 4500 605470235 CHVBK 20210128100326.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00500-014-1427-1 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1427-1 Developing equilibrium optimization methods for hub location problems [Elektronische Daten] [Kai Yang, Yankui Liu] This paper develops three new equilibrium optimization models for $$p$$ p -hub center problem, in which the travel times are characterized by fuzzy random variables. The proposed equilibrium optimization methods are to find the locations of hub facilities and demand nodes so as to maximize equilibrium service levels of uncertain travel times. Under mild assumptions, we first handle equilibrium service levels and reduce them to their equivalent probability constraints. According to structural characteristics of equivalent stochastic programming models, we design a new parametric decomposition-based hybrid tabu search (PD-HTS) algorithm that incorporates parametric decomposition (PD), sample average approximation and tabu search algorithm. To demonstrate the effectiveness of designed solution method, we conduct some numerical experiments by using Australian Post data set and randomly generated data set. The comparison study shows that the PD-HTS algorithm exhibits better performance than the parametric decomposition-based hybrid genetic algorithm. Springer-Verlag Berlin Heidelberg, 2014 Hub location problem nationallicence Equilibrium service level nationallicence Stochastic programming nationallicence Parametric decomposition nationallicence Sample average approximation nationallicence Tabu search algorithm nationallicence Yang Kai Risk Management and Financial Engineering Lab, College of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, China aut Liu Yankui Risk Management and Financial Engineering Lab, College of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, China aut Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2337-2353 1432-7643 19:8<2337 2015 19 500 https://doi.org/10.1007/s00500-014-1427-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1427-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yang Kai Risk Management and Financial Engineering Lab, College of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, China aut NATIONALLICENCE 700 1- Liu Yankui Risk Management and Financial Engineering Lab, College of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, China aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2337-2353 1432-7643 19:8<2337 2015 19 500