Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm

Logistics plays an important role in the field of global economy, and the storage and retrieval of tasks in a warehouse which has symmetry is the most important part of logistics. Generally, the shelves of a warehouse have a certain degree of symmetry and similarity in their structure. The storage a...

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Main Authors: Dongdong Li, Lei Wang, Sai Geng, Benchi Jiang
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/8/1483
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spelling doaj-c8322f15f0bc4b4a88b72def495d40412021-08-26T14:24:12ZengMDPI AGSymmetry2073-89942021-08-01131483148310.3390/sym13081483Path Planning of AS/RS Based on Cost Matrix and Improved Greedy AlgorithmDongdong Li0Lei Wang1Sai Geng2Benchi Jiang3School of Mechanical Engineering, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Mechanical Engineering, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Mechanical Engineering, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Mechanical Engineering, Anhui Polytechnic University, Wuhu 241000, ChinaLogistics plays an important role in the field of global economy, and the storage and retrieval of tasks in a warehouse which has symmetry is the most important part of logistics. Generally, the shelves of a warehouse have a certain degree of symmetry and similarity in their structure. The storage and retrieval efficiency directly affects the efficiency of logistics. The efficiency of the traditional storage and retrieval mode has become increasingly inconsistent with the needs of the industry. In order to solve this problem, this paper proposes a greedy algorithm based on cost matrix to solve the path planning problem of the automatic storage and retrieval system (AS/RS). Firstly, aiming at the path planning mathematical model of AS/RS, this paper proposes the concept of cost matrix, which transforms the traditional storage and retrieval problem into the element combination problem of cost matrix. Then, a more efficient backtracking algorithm is proposed based on the exhaustive method. After analyzing the performance of the backtracking algorithm, combined with some rules, a greedy algorithm which can further improve efficiency is proposed; the convergence of the improved greedy algorithm is also proven. Finally, through simulation, the time consumption of the greedy algorithm is only 0.59% of the exhaustive method, and compared with the traditional genetic algorithm, the time consumption of the greedy algorithm is about 50% of the genetic algorithm, and it can still maintain its advantage in time consumption, which proves that the greedy algorithm based on cost matrix has a certain feasibility and practicability in solving the path planning of the automatic storage and retrieval system.https://www.mdpi.com/2073-8994/13/8/1483path planningautomatic storage and retrieval systemcost matriximproved greedy algorithm
collection DOAJ
language English
format Article
sources DOAJ
author Dongdong Li
Lei Wang
Sai Geng
Benchi Jiang
spellingShingle Dongdong Li
Lei Wang
Sai Geng
Benchi Jiang
Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
Symmetry
path planning
automatic storage and retrieval system
cost matrix
improved greedy algorithm
author_facet Dongdong Li
Lei Wang
Sai Geng
Benchi Jiang
author_sort Dongdong Li
title Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
title_short Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
title_full Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
title_fullStr Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
title_full_unstemmed Path Planning of AS/RS Based on Cost Matrix and Improved Greedy Algorithm
title_sort path planning of as/rs based on cost matrix and improved greedy algorithm
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-08-01
description Logistics plays an important role in the field of global economy, and the storage and retrieval of tasks in a warehouse which has symmetry is the most important part of logistics. Generally, the shelves of a warehouse have a certain degree of symmetry and similarity in their structure. The storage and retrieval efficiency directly affects the efficiency of logistics. The efficiency of the traditional storage and retrieval mode has become increasingly inconsistent with the needs of the industry. In order to solve this problem, this paper proposes a greedy algorithm based on cost matrix to solve the path planning problem of the automatic storage and retrieval system (AS/RS). Firstly, aiming at the path planning mathematical model of AS/RS, this paper proposes the concept of cost matrix, which transforms the traditional storage and retrieval problem into the element combination problem of cost matrix. Then, a more efficient backtracking algorithm is proposed based on the exhaustive method. After analyzing the performance of the backtracking algorithm, combined with some rules, a greedy algorithm which can further improve efficiency is proposed; the convergence of the improved greedy algorithm is also proven. Finally, through simulation, the time consumption of the greedy algorithm is only 0.59% of the exhaustive method, and compared with the traditional genetic algorithm, the time consumption of the greedy algorithm is about 50% of the genetic algorithm, and it can still maintain its advantage in time consumption, which proves that the greedy algorithm based on cost matrix has a certain feasibility and practicability in solving the path planning of the automatic storage and retrieval system.
topic path planning
automatic storage and retrieval system
cost matrix
improved greedy algorithm
url https://www.mdpi.com/2073-8994/13/8/1483
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AT leiwang pathplanningofasrsbasedoncostmatrixandimprovedgreedyalgorithm
AT saigeng pathplanningofasrsbasedoncostmatrixandimprovedgreedyalgorithm
AT benchijiang pathplanningofasrsbasedoncostmatrixandimprovedgreedyalgorithm
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