A hybrid Dantzig-Wolfe decomposition algorithm for the multi-floor facility layout problem

Karateke H., ŞAHİN R., Niroomand S.

Expert Systems with Applications, cilt.206, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 206
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.eswa.2022.117845
  • Dergi Adı: Expert Systems with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, Public Affairs Index, Civil Engineering Abstracts
  • Anahtar Kelimeler: Multi-floor facility layout problem, Dantzig-Wolfe decomposition algorithm, Bender's decomposition algorithm, NP-hard problem, MATHEMATICAL-PROGRAMMING METHOD, MODEL, DESIGN, SINGLE, SOLVE
  • Gazi Üniversitesi Adresli: Evet

Özet

© 2022 Elsevier LtdThe multi-floor facility layout problem (MFLP) is one of the most important and complex facility layout problems that has many applications in designing the facilities of manufacturing and service sectors. In this study, a hybrid version of the Dantzig-Wolfe decomposition algorithm is proposed to solve the MFLP for the first time. The proposed solution approach is performed in two steps. In the first step, a mathematical formulation is applied to assign the departments to the floors in a way that the departments with higher material flow between them be located on the same or closer floors. In the second step, the output of the first step is considered and the MFLP is decomposed into a master problem and some sub-problems to form the Dantzig-Wolfe decomposition algorithm and find the optimal layout of each floor separately. Then the integrated layout of multiple floors is formed easily. The proposed algorithm is evaluated using some sample problems from the literature and some newly generated test problems. The obtained results show the superiority of the proposed algorithm compared to the approaches of the literature.