COMPARISON OF CLASSIC AND GREEDY HEURISTIC ALGORITHM RESULTS IN INTEGER PROGRAMMING: KNAPSACK PROBLEMS
Öz
This study is designed to investigate the comparison of Greedy and classic algorithm solution results and the results of solution algorithms for integer linear programming (ILP) problems. The purpose of the study is to examine the heuristic Greedy algorithm that solves the ILP problems and to reveal the differences and similarities between the classic and heuristic Greedy algorithms on the application.
For this purpose, a software (JAVA Program)
which solves Knapsack Problems (KP) with Greedy terminology has been developed
and problems in different models have been solved with objective function and
constraints. The problems are solved by both the conventional classic algorithm
and the Greedy algorithm and the solution results are compared. In the
study, the results of pure and (0-1) binary backpack problems were found to be
the same as those of heuristic algorithms for small problems. In addition, the
developed program solves single and two-dimensional KP in the literature.
Anahtar Kelimeler
Kaynakça
- [1] Bakır, M. A. and Altunkaynak, B., Tamsayılı Programlama Teori, Modeller ve Algoritmaları, Nobel Yayın Dağıtım, Ankara, 2003.
- [2] Başkaya, Z., Tamsayılı Programlama Algoritmaları ve Bilgisayar Uygulamalı Problem Çözümleri, Başak Matbaacılık, Ankara, 2005.
- [3] Güler, A., Tamsayılı Programlama Problemleri İçin Garanti Değerli Algoritmalar, Ege University, Graduate School of Natural and Applied Sciences, Master Thesis, İzmir, 2008.
- [4] Winston, W. L., Operations Research Applications and Algorithms, Canada, 2004.
- [5] Taha, H. Yöneylem Araştırması, Literatür Yayıncılık, İstanbul, 2000.
- [6] Hillier, F. S. and Lieberman, G. J., Introduction to Operations Research, McGraw-Hill, New York, 2001.
- [7] Schrijver, A., Theory of Linear and Integer Programming, A Wiley-Interscience Publication, Amsterdam, 1999.
- [8] Keskintürk, T., Topuk, N. and Özyeşil, O., “Araç Rotalama Problemleri İle Çözüm Yöntemlerinin Sınıflandırılması ve Bir Uygulama”, The Journal of Business Science, 3(2), 77-107, 2015.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Burcu Durmuş
*
0000-0002-0298-0802
Türkiye
Öznur İşçi Güneri
0000-0003-3677-7121
Türkiye
Aynur İncekırık
Bu kişi benim
0000-0002-5029-6036
Türkiye
Yayımlanma Tarihi
30 Haziran 2019
Gönderilme Tarihi
11 Ekim 2018
Kabul Tarihi
24 Ocak 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 5 Sayı: 1