Optimal decision of a disaster relief network equilibrium model

Cunlin Li; Wenyu Zhang; Hooi Min Yee; Baojun Yang; Cunlin Li; Wenyu Zhang; Hooi Min Yee; Baojun Yang

doi:10.3934/math.2024131

AIMS Mathematics

2024, Volume 9, Issue 2: 2657-2671. doi: 10.3934/math.2024131

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Research article

Optimal decision of a disaster relief network equilibrium model

1.
Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, Wenchang Street, Yinchuan, 750021, Ningxia, China
2.
School of Mathematics and Information Science, North Minzu University, Wenchang Street, Yinchuan, 750021, Ningxia, China
3.
Civil Engineering Studies, College of Engineering, Universiti Teknologi MARA, Penang Branch, Permatang Pauh Campus, 13500 Permatang Pauh, Pulau Pinang, Malaysia
4.
School of Business, North Minzu University, Wenchang Street, Yinchuan, 750021, Ningxia, China

Received: 28 October 2023 Revised: 05 December 2023 Accepted: 13 December 2023 Published: 27 December 2023
MSC : 60H15, 90C25, 90B15

Frequent natural disasters challenge relief network efficiency. This paper introduces a stochastic relief network with limited path capacity, develops an equilibrium model based on cumulative prospect theory, and formulates it as a stochastic variational inequality problem to enhance emergency response and resource allocation efficiency. Using the NCP function, Lagrange function, and random variables, the model dynamically monitors disasters, enabling rational resource allocation for quick decision-making. Compared to traditional methods, our model significantly improves resource scheduling and reduces disaster response costs. Through a random network example, we validate the model's effectiveness in aiding intelligent decision-making for relief plans and resource allocation optimization.
- disaster relief,
- expected residual minimization method,
- nonlinear complementarity problem function,
- random variational inequalities,
- prediction
Citation: Cunlin Li, Wenyu Zhang, Hooi Min Yee, Baojun Yang. Optimal decision of a disaster relief network equilibrium model[J]. AIMS Mathematics, 2024, 9(2): 2657-2671. doi: 10.3934/math.2024131

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Abstract

Frequent natural disasters challenge relief network efficiency. This paper introduces a stochastic relief network with limited path capacity, develops an equilibrium model based on cumulative prospect theory, and formulates it as a stochastic variational inequality problem to enhance emergency response and resource allocation efficiency. Using the NCP function, Lagrange function, and random variables, the model dynamically monitors disasters, enabling rational resource allocation for quick decision-making. Compared to traditional methods, our model significantly improves resource scheduling and reduces disaster response costs. Through a random network example, we validate the model's effectiveness in aiding intelligent decision-making for relief plans and resource allocation optimization.

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