A NEW SOLUTION CONCEPT FOR SOLVING MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM

ÇEVİKEL A. C.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.10, ss.165-170, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2019
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.165-170
  • Anahtar Kelimeler: Fractional programming, multiobjective fractional programming, multiplicative derivation
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, we have proposed a solution to multiobjective fractional programming problems (MFPPs) by using the first-order Multiplicative Taylor expansion of these objective functions at optimal points of each fractional objective functions in feasible region. MFPP reduces to an equivalent Multiobjective Linear Programming Problem (MLPP). The resulting MLPP is solved assuming that weights of these linear objective functions are equal and considering the sum of the these linear objective functions. Thus, the problem is reduced to a single objective. The proposed solution to MFPP always yields efficient solution. Therefore, the complexity in solving MFPP has reduced easy computational and to show the efficiency of the Multiplicative Taylor series method, we applied the method to some problems.