Open Access Open Access  Restricted Access Subscription or Fee Access

Solving Bi-level Problems Using Modified Particle Swarm Optimization Algorithm

N. A. El-Hefnawy

Abstract


The bi-level programming problem (BLPP) is considered to be NP-hard problem. This paper suggests a modified particle swarm optimizer (MPSO) for solving fuzzy bi-level single and multi-objective problems. In this approach the BLPP handles as fuzzy multi-objective problem. Most traditional algorithms designed for specific versions or based on specific assumptions in the BLPP, thus it is difficult to improve the diversity and expand the search space of the particle. For such problems, new strategy for the adaptive inertia weight in PSO is proposed to control the domain of the particle oscillation according to fitness function, and to eliminate the need for velocity clamping. In addition, fuzzy utility membership function introduced to extract the best compromise solution based on fuzzy set theory. Finally, simulation results will be presented for six test problems and compare them with other algorithms to illustrate the efficiency of the proposed algorithm.

Keywords


Bi-level programming. Particle swarm optimizer. Multi-objective problem. Inertia weight.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.