Outline

Ingegneria Sismica

Ingegneria Sismica

Mathematical Modeling of Earthquake-Induced Structural Damage Propagation and Multi-Objective Emergency Resource Scheduling Optimization

Author(s): Weihao Qin1
1School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233040, Anhui Province, China.
Qin, Weihao . “Mathematical Modeling of Earthquake-Induced Structural Damage Propagation and Multi-Objective Emergency Resource Scheduling Optimization.” Ingegneria Sismica Volume 43 Issue 2: 1-20, doi:10.65102/is2026807.

Abstract

In response to the serious methodological dichotomy of early seismic damage assessment and subsequent post-earthquake optimisation of logistics networks; To establish an integrated Spatial-Temporal earthquake-risk Assessment and Resource Allocation Paradigm. Traditional analysis paradigms of disaster operation research always separate hazard evaluation from the allocation decision; thus, deployed countermeasures often lack sufficient robustness against deep uncertainty due to information lag and potential system cascade failure risk. To address this epistemic rift systemically, the proposed mathematical architecture integrates a spatial-temporal stochastic ground-motion-field module that can describe anisotropy in spatial correlations and aftershock-evolution dynamics over time; It also links together a highly dynamical cascade of damage propagation model. Map inter-related functions’ decline within the urban system to build a probabilistic Directed Acyclic Graph (DAG) that continuously assesses compounding paths of infrastructure failures. The repeated vulnerability assessment is conducted by successively applying Bayes’ theorem to merge actual situation observations continually; therefore, the estimated amount of losses needs modification precisely when taking urgent measures. Based on the continuously adjusted dynamic risk environment, a multi-objective stochastic resource-scheduling optimiser is deployed here. Within the two-stage stochastic programming framework that is mathematically rigorous, it optimises simultaneously to minimise expected human casualties, mitigate cascadeeconomic depreciation; Accelerate resource deployment latency in response to strict enforcement of chance constraints to ensure guaranteed service level. Across four different metropolis-scale seismic datasets, computational implementations have shown significantly better performance than existing baseline methods. It is empirical evidence that can lower the probability of fatal injuries by 23.0% and increase resource use efficiency in production by another 15.0 per cent. Furthermore, the timely transmission of information can achieve an additional tenfold improvement (10×) increase in total casualties reduced compared to the advanced deterministic and sequentially integrated models system; Has been scientifically verified by a complete set of non-parametric ranked-sum test. Therefore, an integrated approach is proposed to build a rigorous quantification theory base and dynamic adaptability foundation for city-wide disaster mitigation exercises; The basis can be used as scientific guidelines in practice.

 

Keywords
Earthquake Damage Prediction; Emergency Resource Scheduling; Spatial-Temporal Stochastic Field; Cascading Failure; Multi-objective Optimization; Stochastic Programming; Bayesian Updating

Related Articles

Huiqiao Liu1
1Yinchuan University of Energy, Ningxia, 750000, China
Xin Zhao1, Yan Li1, Xiangyang Cao1, Qiushuang Li1, Jianing Zhang1
1State Grid Shandong Electric Power Company Economic and Technological Research Institute ShanDong JiNan 250001, China
Dan Yang1
1School of Marxism, Suzhou Polytechnic University, Suzhou, 215104, China
Liuhang Shen1, Xiangwen Sun1
1Ulster college at Shaanxi University of Science &Technology, Xi’an,710021, Shaanxi, China