论文标题
使用平滑技术解决非平滑双向目标环境和经济调度问题
Solving Nonsmooth Bi-Objective Environmental andEconomic Dispatch Problem using Smoothing Techniques
论文作者
论文摘要
环境和经济调度问题（EEDP）是一个非线性的多目标优化问题（MOP），同时满足了多个矛盾的标准，当ValvePoint效应，多燃料效应和禁止的操作区域时，这是一个非平滑的问题。它是化石燃料发电厂的一项重要优化任务，用于分配承诺单元之间的生成，以便同时优化燃料成本和污染水平（发射水平），同时满足所有操作约束。在本文中，我们使用具有梯度一致性属性的平滑函数来近似于非平滑的多目标优化问题。我们的方法基于平滑方法。实际上，我们通过使用近似Karush-kuhn-tucker条件来解释平滑方法的收敛分析，这对于一个局部弱有效解决方案是必不可少的，并且在凸度假设下也足够。最后，我们提出了解决双向目标EEDP的方法。
The Environmental and Economic Dispatch problem (EEDP)is a nonlinear Multi-objective Optimization Problem (MOP) which simultaneously satisfies multiple contradictory criteria, and it's a nonsmooth problem when valvepoint effects, multi-fuel effects and prohibited operating zones have been considered. It is an important optimization task in fossil fuel fired power plant operation for allocating generation among the committed units such that fuel cost and pollution (emission level) are optimized simultaneously while satisfying all operational constraints. In this paper, we use smoothing functions with the gradient consistency property to approximate the nonsmooth multi-objective Optimization problem. Our approach is based on the smoothing method. In fact, we explain the convergence analysis of smoothing method by using approximate Karush-Kuhn-Tucker condition, which is necessary for a point to be a local weak efficient solution and is also sufficient under convexity assumptions. Finally, we give an application of our approach for solving the bi-objective EEDP.
