Representing the nondominated set with a small subset in multi-objective mixed integer programs

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü, Türkiye

Tezin Onay Tarihi: 2018

Öğrenci: ILGIN DOĞAN

Danışman: BANU LOKMAN

Özet:

Multi-Objective Mixed Integer Programs (MOMIPs) have a wide variety of application areas in real-life decision making problems. Since the number of nondominated points grows exponentially with the problem size and finding all nondominated points is typically hard and impractical in MOMIPs, generating a subset having “desired properties” rises as an important problem. Motivated with this fact, we observe that the distribution of nondominated points may be critical in defining the desired properties of the representative subset to be generated. Based on our observations, we develop algorithms to generate a small subset of nondominated points that represents the nondominated set with a prespecified coverage gap. Our computational experiments show that our algorithms outperform the existing algorithms in terms of the cardinality of the generated representative set and the solution time.