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Literature Review for Vehicle Routing Problem with Stochastic Demands

Year 2019, Volume: 18 Issue: 36, 181 - 222, 06.11.2019
https://doi.org/10.17134/khosbd.642156

Abstract

Vehicle
Routing Problem (VRP) is the problem of identifying suitable routes in a way
that minimizes the cost in order to serve customers in different locations from
one or more depots by one or more vehicles. However, in real life problems,
Stochastic Vehicle Routing Problem (SVRP) with stochastic information appears
more than deterministic problems in which all parameters are known in advance.
When the studies on SVRP in the literature are examined, it is found that the
researchers study the most about vehicle routing problem with stochastic demand
(VRPSD) in which stochastic demand takes place. In this study, a situation was
examined in such a way that customer demands are not known exactly until the
vehicle reaches the customer location. In VRPSD, it is accepted that the
demands from customers consist of random variables with a certain probability
distribution. Studies on VRPSD in the literature have been examined in detail and
a classification has been made under the specified constraints. Studies on
VRPSD are evaluated according to this classification, mathematical models
developed for VRPSD and the proposed solution approaches for solving the
problem are laid out and an effort is made to determine which problem the
researchers concentrated on the most.

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  • Tezler
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  • İnternet Kaynakları
  • Christiansen, C.H., Eglese, R.W., Letchford, A.N., Lysgaard, J. (2016). A Branch-and-Cut-and-Price algorithm for the Multi-Depot Capacitated Vehicle Routing Problem with Stochastic Demands, https://www.researchgate.net/publication/229169058_A_branch-and-cut-and-price_algorithm_for_the_multi-depot_heterogeneous_vehicle_routing_ problem_with_time_windows, Son erişim tarihi:26.08.2019. Florio, A., Hartl, R., Minner, S. (2018), New exact algorithm and solution properties fort he vehicle routing problem with stachastic demands, https://arxiv.org/abs/1806.08549, Son Erişim Tarihi: 28.08.2019. Florio, A., Hartl, R., Minner, S. (2018), Optimal a priori tour and restocking policy for the single vehicle routing problem with stochastic demands, https://www.sciencedirect.com/science/article/abs/pii/S0377221718309135 Son Erişim Tarihi: 30.08.2019. Subramanyam, A., Repoussis, P.P., Gounaris, C.E. (2018). Robust optimization of broad class of heterogeneous vehicle routing problems under demand uncertainty, 1-54, https://arxiv.org/abs/1810.04348, Son Erişim Tarihi: 08.09.2019.

Stokastik Talepli Araç Rotalama Problemi İçin Literatür Taraması

Year 2019, Volume: 18 Issue: 36, 181 - 222, 06.11.2019
https://doi.org/10.17134/khosbd.642156

Abstract

Araç
Rotalama Problemi (ARP), bir işletmenin farklı konumlarda yer alan
müşterilerine bir veya birden fazla depodan, tek veya çok araçla hizmet
verebilmek için maliyeti minimize edecek şekilde uygun rotaların belirlenmesi
problemidir.  Ancak gerçek hayat problemlerinde
bütün parametrelerin önceden bilindiği deterministik problemlerden çok,
olasılıklı bilgilerin yer aldığı Stokastik Araç Rotalama Problemi (SARP) ile
karşılaşılmaktadır. Literatürde SARP konusunda yapılan çalışmalar
incelendiğinde, araştırmacıların en çok stokastik talebin yer aldığı stokastik
talepli araç rotalama problemini (STARP) inceledikleri tespit edilmiştir. Bu
çalışmada da müşteri taleplerinin araç müşteri lokasyonuna gidene kadar kesin
olarak bilinmediği, ancak müşteri lokasyonuna varıldığında öğrenildiği durum
incelenmiştir. STARP’da müşterilerden gelen taleplerin belirli bir olasılık
dağılımına sahip rassal değişkenlerden oluştuğu kabul edilmektedir.  STARP konusunda literatürde yapılan
çalışmalar ayrıntılı olarak incelenmiş ve belirlenen kısıtlar altında bir
sınıflandırma yapılmıştır. STARP konusunda yapılan çalışmalar bu
sınıflandırmaya göre değerlendirilmiş, STARP için geliştirilen matematiksel
modeller ile problemin çözümü için önerilen çözüm yaklaşımları hakkında bilgi
verilmiş ve araştırmacıların en çok hangi problem üzerinde yoğunlaştıkları
belirlenmeye çalışılmıştır.

References

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  • Makaleler
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  • İnternet Kaynakları
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There are 8 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Beste Desticioğlu

Bahar Özyörük

Publication Date November 6, 2019
Submission Date September 16, 2019
Published in Issue Year 2019 Volume: 18 Issue: 36

Cite

IEEE B. Desticioğlu and B. Özyörük, “Stokastik Talepli Araç Rotalama Problemi İçin Literatür Taraması”, Savunma Bilimleri Dergisi, vol. 18, no. 36, pp. 181–222, 2019, doi: 10.17134/khosbd.642156.