不确定性机会约束无限混合整数优化模型在固体废物管理中的应用

Application of Inexact Full-infinite Chance-constrained Mixed Integer Optimization Model in Solid Waste Management

  • 摘要: 为了更切实有效地反映固体废物管理系统中的多重不确定性,将能够解决区间参数、功能性参数以及随机参数不确定性问题的优化方法相结合,建立了不确定性机会约束无限混合整数优化(IFICCMILP)模型。为了对比说明所建模型的适用性及特点,采用传统的不确定性混合整数规划(IMILP)模型与IFICCMIP模型进行求解。结果表明,由于新建模型输入参数的多样性以及严格的约束条件,其优化结果与IMILP模型有较大区别。传统模型只需要满足一个目标函数,而且约束条件的个数较新建模型少,所得的系统成本较低。但是,因为新建模型能够保证优化结果满足所有的目标函数和约束条件,具有更高的系统可靠性,可以避免由于少考虑约束条件和其他参数而造成的系统风险。此外,新建模型还提供了不同风险水平的优化方案,为决策者提供了更多的决策空间。

     

    Abstract: In order to more effectively reflect the multiple uncertainty in the solid waste management system, a combination of the optimization methods was proposed to solve the uncertainty problems e.g. of the interval parameters, functional parameters and random parameters, and an inexact full-infinite chance-constrained mixed integer linear programming (IFICCMILP) model was proposed. Conventional inexact mixed integer programming model (IMILP) and IFICCMILP were used and compared to expound the applicability and characteristics of the latter. The optimization result of IFICCMILP had great differences from IMILP due to the diversity of parameters input and strict constraint conditions. The system costs of conventional model were lower than the proposed model due to the only one objective function and the reduced number of constraints. However, the proposed model was more reliable since it guaranteed that all the constraints and objectives were satisfied, and thus the system risk due to less consideration of possible constraints and other parameters could be avoided. Moreover, the proposed model presented optimization plans of different risk levels, which provided more decision space for the decision makers.

     

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