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Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü

Year 2014, Volume: 43 Issue: 1, 1 - 27, 08.04.2014

Sultan Kuzu , Onur Önay , Uğur Şen Mustafa Tunçer Bahadır Yıldırım , Timur Keskintürk

Abstract

Bu çalışmada, NP-zor problem sınıfından olan gezgin satıcı probleminin (GSP), stokastik optimizasyon tekniklerinin en genel sınıfı olan metasezgisel yöntemlerle çözümü ele alınmıştır. Klasik matematiksel yöntemlerle çözümü zor ve belli bir boyuttan sonra imkânsız olan problemler için metasezgisel yöntemler etkin bir çözüm alternatifidir. Uluslararası literatürde sıklıkla kullanılan metasezgisel yöntemlerin GSP problemlerine uygulanması konusunda genel bir bakış içeren çalışmaya, ulusal literatürde rastlanmamıştır. Bu amaçla yaygın kullanıma sahip 8 metasezgisel yöntem tanıtılmış ve literatürden alınan farklı boyutlardaki problemlere uygulanmıştır. Sonuçlar raporlanmış ve farklı açılardan yorumlanmıştır.

Keywords

Gezgin Satıcı Problemi Metasezgisel Yöntemler Benchmark Problemleri Optimizasyon

References

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Year 2014, Volume: 43 Issue: 1, 1 - 27, 08.04.2014

Sultan Kuzu , Onur Önay , Uğur Şen Mustafa Tunçer Bahadır Yıldırım , Timur Keskintürk

Abstract

Bu çalışmada, NP-zor problem sınıfından olan gezgin satıcı probleminin (GSP), stokastik optimizasyon tekniklerinin en genel sınıfı olan metasezgisel yöntemlerle çözümü ele alınmıştır. Klasik matematiksel yöntemlerle çözümü zor ve belli bir boyuttan sonra imkânsız olan problemler için metasezgisel yöntemler etkin bir çözüm alternatifidir. Uluslararası literatürde sıklıkla kullanılan metasezgisel yöntemlerin GSP problemlerine uygulanması konusunda genel bakış içeren çalışmaya, ulusal literatürde rastlanmamıştır. Bu amaçla yaygın kullanıma sahip 8 metasezgisel yöntem tanıtılarak bu yöntemler literatürden alınan farklı boyutlarda problemlere uygulanmıştır. Sonuçlar raporlanmış ve farklı açılardan yorumlanmıştır

Keywords

Gezgin Satıcı Problemi Metasezgisel Yöntemler Benchmark Problemleri Optimizasyon

References

  • E. Ateş, Karınca Kolonisi Optimizasyonu Algoritmaları İle Gezgin Satıcı Probleminin Çözümü Ve 3 Boyutlu Benzetimi, Basılmamış Lisans Tezi, Ege Üniversitesi, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü, İzmir, 2012.
  • V. V. Nabiyev, Yapay Zeka - İnsan Bilgisayar Etkileşimi, Seçkin Yayıncılık, Ankara, 2007.
  • E. Önder, M. Özdemir, B.F. Yıldırım, Combinatorial Optimization Using Artificial Bee Colony Algorithm And Particle Swarm Optimization. Kafkas Üniversitesi İktisadi ve İdari Bilimler Fakültesi (KAUİİBF) Dergisi, 4, 6, 59-70 (2013).
  • C.H. Papadimitriou, K. Steiglitz, Combinatorial Optimization: Algorithms and Complexity, Mineola, NY: Dover, 308-309, 1998.
  • İ. Kara, T. Derya, E. Demir, T. Bektaş, “Genelleştirilmiş Gezgin Satıcı Probleminin Tamsayılı Doğrusal Karar Modeli”, Yöneylem Araştırması / Endüstri Mühendisliği 25. Ulusal Kongresi, Koç Üniversitesi, 4-6 Temmuz, İstanbul, 2005.
  • R. Matai, S.P. Singh, M.L. Mittal, “Traveling Salesman Problem: An Overview of Applications, Formulations, and Solution Approaches” in Traveling Salesman Problem, Theory and Applications Donald Davendra (Ed.), InTech, Croatia, 2010, 1- 24.
  • P. Mattsson, The Asymmetric Traveling Salesman Problem, Uppsala Universitet, 2010
  • N. Aras, B. Boyacı, D. Koşucuoğlu, D. Aksen, Karlı Gezgin Satıcı Problemi için Sezgisel Yöntemler, Yöneylem Araştırması / Endüstri Mühendisliği 27. Ulusal Kongresi, İzmir, 2007.
  • Ö.N. Koç, Zaman Pencereli Gezgin Satıcı Problemi İçin Yeni Karar Modelleri, Başkent Üniversitesi, Fen Bilimleri Enstitüsü, Basılmamış Yüksek Lisans Tezi, 2012.
  • B. Zhang, J. Peng, “Uncertain Traveling Salesman Problem”. Erişim linki: http://orsc.edu.cn/online/110731.pdf, 24 Ocak 2014 .
  • S. Yadlapalli, S.Rathinam, S. Darbha, 3-Approximation Algorithm for a Two Depot, Heterogeneous Traveling Salesman Problem. Optimization Letters, 6, 1, 141-152 (2012).
  • B.W. Haskell, A. Toriello, M. Poremba, D.J. Epstein, A Dynamic Traveling Salesman Problem with Stochastic Arc Costs Department of Industrial and Systems Engineering University of Southern California Los Angeles, California (2013).
  • İ. Kara, E. Demir, Genelleştirilmiş Gezgin Satıcı Poblemi İçin Yeni Tamsayılı Karar Modelleri, Yöneylem Araştırması / Endüstri Mühendisliği 26. Ulusal Kongresi, Kocaeli Üniversitesi, 3-5 Temmuz, Kocaeli, 2006.
  • C.S. Helvig, G. Robins, A. Zelikovsky, The Moving-Target Traveling Salesman Problem Volition Inc. Journal of Algorithms, 153-174 (1998).
  • M. Diaby, The Traveling Salesman Problem: A Linear Programming Formulation. WSEAS Transactions on Mathematics, 6, 6, 745–754 (2007).
  • C. Malandraki, RB. Dial, A Restricted Dynamic Programming Heuristic Algorithm for Time Dependent Traveling Salesman Problem. European Journal of Operations Research, 90, 1, 45–55 (1996).
  • M.Padherg, R. Rinaldi, Optimization of a 532-City Symmetric Travelling Salesman Problem by Branch and Cut. Operations Research Letters, 6, 1, 1-7 (1987).
  • M. Padberg, G. Rinaldi, Branch-and-Cut Approach to a Variant of the Traveling Salesman Problem. Journal of Guidance, Control, and Dynamics, 11, 5, 436–440 (1988).
  • S.Lin, B. Kernighan, An Effective Heuristic Algorithm for the Traveling-Salesman Problem. Operations Research, 21, 2, 498-516 (1973).
  • A. Punnen, F. Margot, S.Kabadi, TSP Heuristics: Domination Analysis and Complexity. Algorithmica, 35, 111–127 (2003).
  • O. Martin, S. Otto, E. Felten, Large-step markov chains for the traveling salesman problem. Complex Systems, 5, 3, 299-326 (1991).
  • S. Kirkpatrick, C. D. Gelatt, M. P. Vechi, Optimization by Simulated Annealing. Science, 220, 4598, 671-680 (1983).
  • S. Kirkpatrik, Optimization by Simulated Annealing: Quantitative Studies. Journal of Statistical Physics, 34, 1984, 975-986 (1984).
  • JB. Wu, SW. Xiong, N. Xu, Simulated Annealing Algorithm Based on Controllable Temperature for Solving TSP. Application Research of Computers, 24, 5, 66–89 (2007).
  • M.Dam, M. Zachariasen, Tabu Search on the geometric travelling salesman problem. Meta-heuristics: Theory and Applications, Kluwer Academic Publishers, Boston, 571-587, 1996.
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There are 97 citations in total.

Details

Primary Language English
Journal Section Operations Research
Authors

Sultan Kuzu

Onur Önay

Uğur Şen This is me

Mustafa Tunçer This is me

Bahadır Yıldırım

Timur Keskintürk

Publication Date April 8, 2014
Published in Issue Year 2014 Volume: 43 Issue: 1

Cite

APA Kuzu, S., Önay, O., Şen, U., Tunçer, M., et al. (2014). Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü. İstanbul Üniversitesi İşletme Fakültesi Dergisi, 43(1), 1-27.
AMA Kuzu S, Önay O, Şen U, Tunçer M, Yıldırım B, Keskintürk T. Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü. İstanbul Üniversitesi İşletme Fakültesi Dergisi. April 2014;43(1):1-27.
Chicago Kuzu, Sultan, Onur Önay, Uğur Şen, Mustafa Tunçer, Bahadır Yıldırım, and Timur Keskintürk. “Gezgin Satıcı Problemlerinin Metasezgiseller Ile Çözümü”. İstanbul Üniversitesi İşletme Fakültesi Dergisi 43, no. 1 (April 2014): 1-27.
EndNote Kuzu S, Önay O, Şen U, Tunçer M, Yıldırım B, Keskintürk T (April 1, 2014) Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü. İstanbul Üniversitesi İşletme Fakültesi Dergisi 43 1 1–27.
IEEE S. Kuzu, O. Önay, U. Şen, M. Tunçer, B. Yıldırım, and T. Keskintürk, “Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü”, İstanbul Üniversitesi İşletme Fakültesi Dergisi, vol. 43, no. 1, pp. 1–27, 2014.
ISNAD Kuzu, Sultan et al. “Gezgin Satıcı Problemlerinin Metasezgiseller Ile Çözümü”. İstanbul Üniversitesi İşletme Fakültesi Dergisi 43/1 (April 2014), 1-27.
JAMA Kuzu S, Önay O, Şen U, Tunçer M, Yıldırım B, Keskintürk T. Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü. İstanbul Üniversitesi İşletme Fakültesi Dergisi. 2014;43:1–27.
MLA Kuzu, Sultan et al. “Gezgin Satıcı Problemlerinin Metasezgiseller Ile Çözümü”. İstanbul Üniversitesi İşletme Fakültesi Dergisi, vol. 43, no. 1, 2014, pp. 1-27.
Vancouver Kuzu S, Önay O, Şen U, Tunçer M, Yıldırım B, Keskintürk T. Gezgin Satıcı Problemlerinin Metasezgiseller ile Çözümü. İstanbul Üniversitesi İşletme Fakültesi Dergisi. 2014;43(1):1-27.