Araştırma Makalesi

A Fuzzy programming approach for interval multiobjective solid transportation problem

Cilt: 4 Sayı: 4 31 Aralık 2016
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A Fuzzy programming approach for interval multiobjective solid transportation problem

Abstract

This paper presents a fuzzy programming approach for solving Interval Multiobjective Solid Transportation Problem (IMOSTP). In real world application, IMOSTP appears to be more realistic than a conventional Solid Transportation Problem (STP) as available data is uncertain. In such a problem the solution process is very complex. By applying the order relation on the intervals, it is first transformed into a crisp multiobjective solid transportation problem. After determining the individual optimal solution of each objective, a fuzzy programming approach is constructed to achieve the Pareto optimal solution of IMOSTP. Finally, a numerical example is illustrated to demonstrate the feasibility of the presented solution procedure.

Keywords

Kaynakça

  1. G.B. Dantzig (1963), Linear Programming and Extensions. Princeton University Press, Princeton Jersey.
  2. Charnes A., and Cooper W. W. (1954). The stepping stone method of explaining linear programming calculations in transportation problems. Management Science, 1(1), 49-69.
  3. Dalman H., Köçken, H. G., and Sivri, M. (2013). A solution proposal to indefinite quadratic interval transportation problem. New Trends in Mathematical Sciences, 1(2), 07-12.
  4. Shell E. (1955). Distribution of a product by several properties, Directorate of Management Analysis. In Proceedings of the Second Symposium in Linear Programming (Vol. 2, pp. 615-642).
  5. Haley K. B. (1962). New methods in mathematical programming-The solid transportation problem. Operations Research, 10(4), 448-463.
  6. Jimenez F., and Verdegay J. L. (1998). Uncertain solid transportation problems. Fuzzy Sets and Systems, 100(1), 45-57.
  7. Li Y., Ida K., and Gen M. (1997). Improved genetic algorithm for solving multiobjective solid transportation problem with fuzzy numbers. Computers and industrial engineering, 33(3), 589-592.
  8. Li Y., Ida, K., Gen M., and Kobuchi R. (1997). Neural network approach for multicriteria solid transportation problem. Computers and industrial engineering, 33(3), 465-468.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

17 Şubat 2016

Kabul Tarihi

9 Mayıs 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Dalman, H. (2016). A Fuzzy programming approach for interval multiobjective solid transportation problem. New Trends in Mathematical Sciences, 4(4), 114-127. https://izlik.org/JA28FC32YD
AMA
1.Dalman H. A Fuzzy programming approach for interval multiobjective solid transportation problem. New Trends in Mathematical Sciences. 2016;4(4):114-127. https://izlik.org/JA28FC32YD
Chicago
Dalman, Hasan. 2016. “A Fuzzy programming approach for interval multiobjective solid transportation problem”. New Trends in Mathematical Sciences 4 (4): 114-27. https://izlik.org/JA28FC32YD.
EndNote
Dalman H (01 Aralık 2016) A Fuzzy programming approach for interval multiobjective solid transportation problem. New Trends in Mathematical Sciences 4 4 114–127.
IEEE
[1]H. Dalman, “A Fuzzy programming approach for interval multiobjective solid transportation problem”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 114–127, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28FC32YD
ISNAD
Dalman, Hasan. “A Fuzzy programming approach for interval multiobjective solid transportation problem”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 114-127. https://izlik.org/JA28FC32YD.
JAMA
1.Dalman H. A Fuzzy programming approach for interval multiobjective solid transportation problem. New Trends in Mathematical Sciences. 2016;4:114–127.
MLA
Dalman, Hasan. “A Fuzzy programming approach for interval multiobjective solid transportation problem”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 114-27, https://izlik.org/JA28FC32YD.
Vancouver
1.Hasan Dalman. A Fuzzy programming approach for interval multiobjective solid transportation problem. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):114-27. Erişim adresi: https://izlik.org/JA28FC32YD