Modeling and HDA-CR Solution of Multi-Period Allocation Scheme of Hazardous Materials under Uncertainty

Abstract

Developing a multi-period allocation scheme for life-limited hazardous materials is essential to ensure safe and sustainable hazardous material management. In this study, the allocation risk under uncertainty is measured by a type-II fuzzy number, and a bilevel chance constrained programming model is established with the minimum cumulative number of reserve points participating in allocation and the minimum cumulative allocation risk as to the objective functions. Aiming at the multi-dimensional characteristics of multi-period, multi-reserve points, multi-consumption points, and multi-hazardous materials types, and the resource conflict problem in the allocation scheme formulation process, a multi-objective hierarchical differential evolution algorithm with coding repair strategy was designed. By comparing with the classical multi-objective optimization algorithm, the algorithm can search for a more excellent Pareto solution set at the expense of certain time complexity. At the same time, when the decision-maker’s preference is introduced, the method can select a more appropriate multi-period allocation scheme from the perspective of the overall situation and the decision-maker. It provides a reference for determining the rational allocation scheme of resources under the long-term allocation of hazardous materials.