Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture

The maintenance service network is always designed as a multi-level service network to provide timely maintenance service for failed machinery, and is rarely studied in agriculture. Thus, this paper focuses on a three-level maintenance service network location–allocation problem in agriculture, whic...

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Main Authors: Jinliang Li, Weibo Ren, Xibin Wang
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/18/10167
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author Jinliang Li
Weibo Ren
Xibin Wang
author_facet Jinliang Li
Weibo Ren
Xibin Wang
author_sort Jinliang Li
collection DOAJ
description The maintenance service network is always designed as a multi-level service network to provide timely maintenance service for failed machinery, and is rarely studied in agriculture. Thus, this paper focuses on a three-level maintenance service network location–allocation problem in agriculture, which contains several spare part centres, service stations, and service units. This research aims to obtain the optimal location of spare part centres and service stations while determining service vehicle allocation results for service stations, and the problem can be called a multi-level facility location and allocation problem (MLFLAP). Considering contiguity constraints and hierarchical relationships, the proposed MLFLAP is formulated as a mixed-integer linear programming (MILP) model integrating with P-region and set covering location problems to minimize total service costs, including spare part centre construction costs, service vehicle usage costs, and service mileage costs of service stations. The Benders decomposition-based solution method with several improvements is then applied to decompose the original MLFLAP into master problem and subproblems to find the optimal solutions effectively. Finally, a real-world case in China is proposed to evaluate the performance of the model and algorithm in agriculture, and sensitivity analysis is also conducted to demonstrate the impact of several parameters.
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spelling doaj.art-cbbdf91c4897474180580704ef56f7ca2023-11-19T09:23:56ZengMDPI AGApplied Sciences2076-34172023-09-0113181016710.3390/app131810167Joint Location–Allocation Model for Multi-Level Maintenance Service Network in AgricultureJinliang Li0Weibo Ren1Xibin Wang2Department of Industrial and Systems Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mechanical Engineering, North University of China, Taiyuan 030051, ChinaDepartment of Industrial and Systems Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaThe maintenance service network is always designed as a multi-level service network to provide timely maintenance service for failed machinery, and is rarely studied in agriculture. Thus, this paper focuses on a three-level maintenance service network location–allocation problem in agriculture, which contains several spare part centres, service stations, and service units. This research aims to obtain the optimal location of spare part centres and service stations while determining service vehicle allocation results for service stations, and the problem can be called a multi-level facility location and allocation problem (MLFLAP). Considering contiguity constraints and hierarchical relationships, the proposed MLFLAP is formulated as a mixed-integer linear programming (MILP) model integrating with P-region and set covering location problems to minimize total service costs, including spare part centre construction costs, service vehicle usage costs, and service mileage costs of service stations. The Benders decomposition-based solution method with several improvements is then applied to decompose the original MLFLAP into master problem and subproblems to find the optimal solutions effectively. Finally, a real-world case in China is proposed to evaluate the performance of the model and algorithm in agriculture, and sensitivity analysis is also conducted to demonstrate the impact of several parameters.https://www.mdpi.com/2076-3417/13/18/10167OR in agriculturemaintenance service networkmulti-level facility locationservice resource allocationservice region districting
spellingShingle Jinliang Li
Weibo Ren
Xibin Wang
Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
Applied Sciences
OR in agriculture
maintenance service network
multi-level facility location
service resource allocation
service region districting
title Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
title_full Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
title_fullStr Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
title_full_unstemmed Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
title_short Joint Location–Allocation Model for Multi-Level Maintenance Service Network in Agriculture
title_sort joint location allocation model for multi level maintenance service network in agriculture
topic OR in agriculture
maintenance service network
multi-level facility location
service resource allocation
service region districting
url https://www.mdpi.com/2076-3417/13/18/10167
work_keys_str_mv AT jinliangli jointlocationallocationmodelformultilevelmaintenanceservicenetworkinagriculture
AT weiboren jointlocationallocationmodelformultilevelmaintenanceservicenetworkinagriculture
AT xibinwang jointlocationallocationmodelformultilevelmaintenanceservicenetworkinagriculture