Year 2020, Volume 7 , Issue 2, Pages 971 - 979 2020-12-30

Stokastik Talepli Kapasite Kısıtlı Araç Rotalama Problemine Yönelik Karşılaştırmalı Bir Yaklaşım
A Comparative Approach to Capacitated Vehicle Routing Problem with Stochastic Demand

Çerkez AĞAYEVA [1] , Melis ALPASLAN TAKAN [2]


Bu çalışmada literatürde çalışılan en önemli kombinatoryal eniyileme problemlerinden biri olan stokastik araç rotalama problemi (SARP) ele alınmıştır. Bilindiği üzere klasik araç rotalama probleminde, araçların kapasiteleri ve müşterilerin talepleri bilinmektedir yani problem deterministiktir. Gerçek hayat problemlerinde problem parametreleri farklı durumlara göre değişkenlik gösterdiğinden, parametrelerin kesin değerlerinin bilinmesine az rastlanmaktadır. Bu yüzden belirtilen klasik araç rotalama probleminin belirsizlik koşulları altında formüle edilmesine ihtiyaç duyulmaktadır. Ele alınan çalışmada, müşteri taleplerinin belirsiz olduğu durumlar için, araç rotalama problemi analiz edilmiştir ve talepler stokastik olarak modelde değerlendirilmiştir. Değişken talep durumlarını incelemek için düzgün, üstel ve Poisson olmak üzere 3 farklı dağılım kullanılarak, bu dağılımların problemin çözümleri üzerindeki etkileri incelenmiştir. Hesaplama sonuçları için GAMS yazılımı kullanılmıştır ve çalışmanın sonunda ele alınan problemin stokastik ve deterministik modellerinin sonuçları kıyaslanmıştır.

In this study, stochastic vehicle routing problem (SVRP), which is one of the most important combinatorial optimization problems studied in the literature, is discussed. As it is known, the capacities of the vehicles and the demands of the customers are known in the classical vehicle routing problem, so the problem is deterministic. Since the problem parameters in real life problems vary according to the different situations, it is rare to know the exact values of the parameters. Therefore, there is a need to formulate the classical vehicle routing problem under uncertainty conditions. In this study, the vehicle routing problem is analyzed, and the demands are stochastically evaluated for the cases where customer demands are uncertain. In order to examine the variable demand conditions, the effects of these distributions on the solutions of the problem are investigated by using three different distributions, which are uniform, exponential, and Poisson. The GAMS software is used for computational results and the results of the stochastic and deterministic models of the problem are compared at the final part of the study.

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Primary Language tr
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-0507-9785
Author: Çerkez AĞAYEVA
Institution: Muş Alparslan Üniversitesi
Country: Turkey


Orcid: 0000-0002-1458-8162
Author: Melis ALPASLAN TAKAN (Primary Author)
Institution: Bilecik Şeyh Edebali Üniversitesi
Country: Turkey


Dates

Application Date : April 18, 2020
Acceptance Date : July 6, 2020
Publication Date : December 30, 2020

APA Ağayeva, Ç , Alpaslan Takan, M . (2020). Stokastik Talepli Kapasite Kısıtlı Araç Rotalama Problemine Yönelik Karşılaştırmalı Bir Yaklaşım . Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi , 7 (2) , 971-979 . DOI: 10.35193/bseufbd.722677