Title: A redistribution-based multi-stage humanitarian logistic design model considering the spherical fuzzy methodology

Authors: Saptadeep Biswas; Prasad Belamkar; Uttam Kumar Bera

Addresses: Department of Mathematics, National Institute of Technology Agartala, Tripura, India ' Department of Mathematics, National Institute of Technology Agartala, Tripura, India ' Department of Mathematics, National Institute of Technology Agartala, Tripura, India

Abstract: This article presents a multi-stage model of reliable humanitarian logistics for aid distribution in post-disaster scenarios. To minimise total cost and time, the model incorporates redistribution and addresses uncertainties using the spherical fuzzy methodology. Inspired by the crucial role of humanitarian aid in saving lives and mitigating suffering, the study seeks to enhance the effectiveness of real-world humanitarian logistics operations. The proposed model optimises emergency operations by reallocating essential resources within regional supply warehouses, thus improving efficiency. It effectively handles uncertainties through the robust framework of the spherical fuzzy methodology. Numerical studies and a comparison analysis verify the model's efficacy using stochastic and fuzzy parameters. By integrating redistribution strategies and leveraging the capabilities of the spherical fuzzy methodology, the study contributes practical solutions and insights. Ultimately, the research strives to enhance aid delivery's timeliness, cost-effectiveness, and efficiency, saving lives and alleviating human suffering during critical post-disaster phases.

Keywords: humanitarian logistics; multi-stage model; aid distribution; redistribution; spherical fuzzy methodology; total cost; total time; uncertainties.

DOI: 10.1504/IJLSM.2026.152869

International Journal of Logistics Systems and Management, 2026 Vol.53 No.4, pp.522 - 557

Received: 22 Feb 2023
Accepted: 03 Aug 2023
Published online: 14 Apr 2026 *

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