A Multiobjective multidimensional knapsack model for exhibition selection for science centers Bilim merkezlerine düzenek seçimi için çok amaçlı çok boyutlu bir sırt çantası modeli


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Hülagü K. T., FIĞLALI A.

Journal of the Faculty of Engineering and Architecture of Gazi University, cilt.40, sa.1, ss.165-177, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.17341/gazimmfd.1204181
  • Dergi Adı: Journal of the Faculty of Engineering and Architecture of Gazi University
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Art Source, Compendex, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.165-177
  • Anahtar Kelimeler: exhibition selection, multidimensional knapsack problem, multiobjective knapsack problem, Science center
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Science Centers carry out their missions through the exhibits and exhibitions they have. The selection of the exhibits is made under the space limitations and budget constraints, taking into account the center's goals and the visitor profile. However, there is no mathematical approach in the literature for the selection of exhibits in order to create exhibitions for the determined objective. It is seen that intuitive methods are applied and especially the experiences of the curators are used to create the exhibition for science centers. Creating a new exhibition for a science center can be taken as the process of bringing together a portfolio of various exhibits to optimize certain objectives and can be modeled as a knapsack problem. In this study, a mathematical programming-based multiobjective method is proposed for the selection of the most suitable exhibits in science centers. The problem is considered as a multiobjective, multidimensional knapsack problem. It is modeled and solved as a 0-1 integer programming model. Suggested model selects the exhibits that supports the mission of the science center at a high level, has a high instructional level and attractiveness under the constraints of the total area, purchasing budget and annual operating budget. In the model, there is an additional constraint to ensure that the exhibits that make up the portfolio are selected from different fields of science. Considering the time required to solve the various problems created and the number of dominant solutions obtained, it can be said that the proposed model can be easily used in real life problems.