Abstract:
Hierarchical multilevel multi-leader multi-follower problems are non-cooperative decision
problems in which multiple decision-makers of equal status in the upper-level and multiple decision makers of equal status are involved at each of the lower-levels of the hierarchy. Much of solution methods proposed so far on the topic are either model specific which may work only for a particular sub-class of problems or are based on some strong assumptions and only for two level cases. In this paper, we have considered hierarchical multilevel multi-leader multi-follower problems in which the objective functions
contain separable and non-separable terms (but the non-separable terms can be written as a factor of two functions, a function which depends on other level decision variables and a function which is common to all objectives across the same level) and shared constraint. We have proposed a solution algorithm to such problems by equivalent reformulation as a hierarchical multilevel problem involving single decision maker at all levels of the hierarchy. Then, we applied a multi-parametric algorithm to solve the resulting single leader single followers problem.
Belete, Z , Belete, Z , Belete, Z & Belete, Z (2024). Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives. Afribary. Retrieved from https://afribary.com/works/hierarchical-multilevel-optimization-with-multiple-leaders-multiple-followers-setting-and-nonseparable-objectives
Belete, Zewde et. al. "Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/hierarchical-multilevel-optimization-with-multiple-leaders-multiple-followers-setting-and-nonseparable-objectives. Accessed 27 Jul. 2024.
Belete, Zewde, Zewde Belete , Zewde Belete and Zewde Belete . "Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives". Afribary, Afribary, 30 Mar. 2024. Web. 27 Jul. 2024. < https://afribary.com/works/hierarchical-multilevel-optimization-with-multiple-leaders-multiple-followers-setting-and-nonseparable-objectives >.
Belete, Zewde , Belete, Zewde , Belete, Zewde and Belete, Zewde . "Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives" Afribary (2024). Accessed July 27, 2024. https://afribary.com/works/hierarchical-multilevel-optimization-with-multiple-leaders-multiple-followers-setting-and-nonseparable-objectives