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A scenario-based game theory integrating with a location-allocation-routing problem in a pre- and post-disaster humanitarian logistics network under uncertainty

Ali Beiki Ashkezari (School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran)
Mahsa Zokaee (School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran)
Erfan Rabbani (Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran)
Masoud Rabbani (School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran)
Amir Aghsami (School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran)

Journal of Modelling in Management

ISSN: 1746-5664

Article publication date: 16 April 2024

Issue publication date: 11 October 2024

136

Abstract

Purpose

Pre-positioning and distributing relief items are important parts of disaster management as it simultaneously considers activities from both pre- and post-disaster stages. This study aims to address this problem with a novel mathematical model.

Design/methodology/approach

In this research, a bi-objective mixed-integer linear programming model is developed to tackle pre-positioning and distributing relief items, and it is formulated as an integrated location-allocation-routing problem with uncertain parameters. The humanitarian supply chain consists of relief facilities (RFs) and demand points (DPs). Perishable and imperishable relief commodities (RCs), different types of vehicles, different transportation modes, a time window for delivering perishable commodities and the occurrence of unmet demand are considered. A scenario-based game theory is applied for purchasing RCs from different suppliers and an integrated best-worst method-technique for order of preference by similarity to ideal solution technique is implemented to determine the importance of DPs. The proposed model is used to solve several random test problems for verification, and to validate the model, Iran’s flood in 2019 is investigated as a case study for which useful managerial insights are provided.

Findings

Managers can effectively adjust their preferences towards response time and total cost of the network and use sensitivity analysis results in their decisions.

Originality/value

The model locates RFs, allocates DPs to RFs in the pre-disaster stage, and determines the routing of RCs from RFs to DPs in the post-disaster stage with respect to minimizing total costs and response time of the humanitarian logistics network.

Keywords

Acknowledgements

Declarations:

Ethical approval: Not applicable.

Consent to participate: Not applicable.

Consent to publish: The authors agree with publication in this journal.

Funding: The authors declare that no funds, grants or other support were received during the preparation of this manuscript.

Competing interests: The authors have no competing interests to declare that are relevant to the content of this article.

Availability of data and material: Due to the nature of this research, data is available within the text.

Citation

Beiki Ashkezari, A., Zokaee, M., Rabbani, E., Rabbani, M. and Aghsami, A. (2024), "A scenario-based game theory integrating with a location-allocation-routing problem in a pre- and post-disaster humanitarian logistics network under uncertainty", Journal of Modelling in Management, Vol. 19 No. 5, pp. 1686-1718. https://doi.org/10.1108/JM2-08-2023-0181

Publisher

:

Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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