Overview of fuzzy vehicle routing problems

Introduction. Various algorithms for solving fuzzy vehicle routing problems are considered. The work objective was to study modern methods for the optimal solution to fuzzy, random and rough vehicle routing problems. Materials and Methods. The paper reviews fuzzy vehicle routing problems, existing m...

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Main Authors: Yu. O. Chernyshev, V. N. Kubil, A. V. Trebukhin
Format: Article
Language:Russian
Published: Don State Technical University 2020-10-01
Series:Advanced Engineering Research
Subjects:
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1699
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author Yu. O. Chernyshev
V. N. Kubil
A. V. Trebukhin
author_facet Yu. O. Chernyshev
V. N. Kubil
A. V. Trebukhin
author_sort Yu. O. Chernyshev
collection DOAJ
description Introduction. Various algorithms for solving fuzzy vehicle routing problems are considered. The work objective was to study modern methods for the optimal solution to fuzzy, random and rough vehicle routing problems. Materials and Methods. The paper reviews fuzzy vehicle routing problems, existing methods and approaches to their solution. The most effective features of some approaches to solving fuzzy vehicle routing problems considering their specificity, are highlighted. Results. The Fuzzy Vehicle Routing Problem (FVRP) occurs whenever the routing data is vague, unclear, or ambiguous. In many cases, these fuzzy elements can better reflect reality. However, it is very difficult to use Vehicle Routing Problem (VRP) solving algorithms to solve FVRP since several fundamental properties of deterministic problems are no longer fulfilled in FVRP. Therefore, it is required to introduce new models and algorithms of fuzzy programming to solve such problems. Thus, the use of methods of the theory of fuzzy sets will provide successful simulation of the problems containing elements of uncertainty and subjectivity. Discussion and conclusions. As a result of reviewing various methods and approaches to solving vehicle routing problems, it is concluded that the development and study of new solutions come into sharp focus of researchers nowadays, but the degree of elaboration of various options varies. Methods for the optimal solution of FVRP are limited, in general, to some single fuzzy variable. There is a very limited number of papers that consider a large number of fuzzy variables.
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spelling doaj-art-405bc7aea4db456091a15a9dd16c99f32025-08-20T03:57:12ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532020-10-0120332533110.23947/2687-1653-2020-20-3-325-3311488Overview of fuzzy vehicle routing problemsYu. O. Chernyshev0V. N. Kubil1A. V. Trebukhin2Don State Technical UniversityPlatov South-Russian State Polytechnic UniversityDon State Technical UniversityIntroduction. Various algorithms for solving fuzzy vehicle routing problems are considered. The work objective was to study modern methods for the optimal solution to fuzzy, random and rough vehicle routing problems. Materials and Methods. The paper reviews fuzzy vehicle routing problems, existing methods and approaches to their solution. The most effective features of some approaches to solving fuzzy vehicle routing problems considering their specificity, are highlighted. Results. The Fuzzy Vehicle Routing Problem (FVRP) occurs whenever the routing data is vague, unclear, or ambiguous. In many cases, these fuzzy elements can better reflect reality. However, it is very difficult to use Vehicle Routing Problem (VRP) solving algorithms to solve FVRP since several fundamental properties of deterministic problems are no longer fulfilled in FVRP. Therefore, it is required to introduce new models and algorithms of fuzzy programming to solve such problems. Thus, the use of methods of the theory of fuzzy sets will provide successful simulation of the problems containing elements of uncertainty and subjectivity. Discussion and conclusions. As a result of reviewing various methods and approaches to solving vehicle routing problems, it is concluded that the development and study of new solutions come into sharp focus of researchers nowadays, but the degree of elaboration of various options varies. Methods for the optimal solution of FVRP are limited, in general, to some single fuzzy variable. There is a very limited number of papers that consider a large number of fuzzy variables.https://www.vestnik-donstu.ru/jour/article/view/1699fuzzy vehicle routing problemoptimizationfuzzy methodsheuristic algorithmshybrid algorithms
spellingShingle Yu. O. Chernyshev
V. N. Kubil
A. V. Trebukhin
Overview of fuzzy vehicle routing problems
Advanced Engineering Research
fuzzy vehicle routing problem
optimization
fuzzy methods
heuristic algorithms
hybrid algorithms
title Overview of fuzzy vehicle routing problems
title_full Overview of fuzzy vehicle routing problems
title_fullStr Overview of fuzzy vehicle routing problems
title_full_unstemmed Overview of fuzzy vehicle routing problems
title_short Overview of fuzzy vehicle routing problems
title_sort overview of fuzzy vehicle routing problems
topic fuzzy vehicle routing problem
optimization
fuzzy methods
heuristic algorithms
hybrid algorithms
url https://www.vestnik-donstu.ru/jour/article/view/1699
work_keys_str_mv AT yuochernyshev overviewoffuzzyvehicleroutingproblems
AT vnkubil overviewoffuzzyvehicleroutingproblems
AT avtrebukhin overviewoffuzzyvehicleroutingproblems