基于双层分式规划的种植结构多目标模型研究

构建了基于双层分式规划的种植结构多目标优化模型,并通过交互式模糊规划方法进行求解。该模型可以定量得到研究区域在最小灌溉水量情况下的最大种植收益,避免多目标模型求解过程中的主观性;可以兼顾并综合上层管理者和下层管理者的种植方案决策。将构建的模型及相应求解方法应用于黑河中游甘州区、临泽县、高台县的种植结构优化中,并将优化结果与实际结果进行对比,结果发现:优化的种植结构整体效益增加3.2×108元,整体用水量减少1.3×109m3,单方水种植效益比实际增加了1.94元/m3,得到的结果验证了模型及求解方法的可行性。构建的模型与得到的优化结果可为黑河中游及类似地区作物种植结构优化提供理论依据与决策支持。

Multi-objective Optimization Model of Planting Structure Based on Two-level Fractional Programming

A multi-objective optimization model of planting structure was developedby incorporating fractional programming and two-level programming. The proposed model was solved by interactive fuzzy programming. Two advantages the proposed planting structure model has two advantages: the maximum planting benefit with the minimum of irrigation water could be obtained quantificationally, and the subjectivity was avoided in the previous multi-objective optimization models; the optimal planting structure could be obtained by integrating the decisions from both the upper level and lower level in the study areas. The proposed model and the corresponding solution method were applied to the planting structure optimization in the middle reaches of Black River. The optimal results of planting structure were obtained, and the comparison between the optimal results and the actual results was also made. It shows that the planting benefit per unit of water increased by 1.94 yuan/m3, with the whole planting benefit increasing by 3.2×108yuan, and the total water consumption decreased by 1.3×109m3. The obtained results verified the feasibility of the model and its calculation method. The model and the corresponding results will provide theoretical basis and decision support to the study and similar areas.