Multi-objective two-stage grey transportation problem using utility function with goals

Roy S. K., Maity G., Weber G.

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, cilt.25, sa.2, ss.417-439, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10100-016-0464-5
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.417-439
  • Anahtar Kelimeler: Transportation problem, Multi-objective decision making, Goal programming, Grey number, Utility function, ALGORITHM, DEMAND, COST
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Multi-Objective Goal Programming is applied to solve problems in many application areas of real-life decision making problems. We formulate the mathematical model of Two-Stage Multi-Objective Transportation Problem (MOTP) where we design the feasibility space based on the selection of goal values. Considering the uncertainty in real-life situations, we incorporate grey parameters for supply and demands into the Two-Stage MOTP, and a procedure is applied to reduce the grey numbers into real numbers. Thereafter, we present a solution procedure to the proposed problem by introducing an algorithm and using the approach of Revised Multi-Choice Goal Programming. In the proposed algorithm, we introduce a utility function for selecting the goals of the objective functions. A numerical example is encountered to justify the reality and feasibility of our proposed study. Finally, the paper ends with a conclusion and an outlook to future investigations of the study.