Study on comprehensive efficiency evaluation of waste paper recycling process
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摘要:
废纸再生已成为当下解决传统制浆造纸原料匮乏问题的主要途径和趋势,为分析废纸再生过程综合效能水平,提出一种包含多指标的废纸再生综合效能评估模型。从物质流与能量流2个角度对废纸再生过程进行分析,选取5个定量评估指标,构建一套废纸再生综合效能评估指标体系。基于博弈论组合赋权理论,将主、客观权重优化组合得到评估指标最优组合权重,并基于物元模型建立废纸再生综合效能评估模型。通过评估模型对9家企业废纸再生过程进行实例计算,得到各企业综合效能等级,结果显示有2家企业处于高水平,3家企业处于较高水平,4家企业处于差水平。模型计算结果可以体现企业综合效能水平的相对高低和各企业的提升方向。
Abstract:Waste paper recycling has become the primary approach and trend to solve the pressing problem of insufficient traditional pulp and paper raw materials. A comprehensive efficiency evaluation model of waste paper recycling involving multiple indexes was proposed to analyze the comprehensive efficiency of the waste paper recycling process. An evaluation index system of the comprehensive efficiency of the waste paper recycling process was established by specifying five indexes according to material flow and energy flow involved in the process. Based on the combination weighting of game theory, the optimal combination weight of the evaluation index was obtained by optimizing the combination of subjective and objective weights. After that, the comprehensive efficiency evaluation model of waste paper recycling was established based on the matter element model. By applying the proposed evaluation model to the waste paper recycling process of nine enterprises, the comprehensive efficiency level of each enterprise was obtained. The results showed that two enterprises were at a high level, three were medium-high, and four were poor. The study case showed that this model was feasible in reflecting the relative level of comprehensive efficiency and the promotion direction of each enterprise.
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表 1 废纸再生综合效能评估指标体系
Table 1. Comprehensive efficiency evaluation index system of waste paper recycling
指标 指标类型 计算公式 产量/投入总能源(C1) 正向型 $ {M}_{\mathrm{o}\mathrm{u}\mathrm{t}}/{E}_{\mathrm{i}\mathrm{n}} $ 能量耗散/投入总能源(C2) 负向型 $ {E}_{\mathrm{w}}/{E}_{\mathrm{i}\mathrm{n}} $ 直接收益/投入总能源(C3) 正向型 $ {W}_{\mathrm{d}\mathrm{b}}/{E}_{\mathrm{i}\mathrm{n}} $ 资源节省费用/投入总能源(C4) 正向型 $ {W}_{\mathrm{r}\mathrm{s}}/{E}_{\mathrm{i}\mathrm{n}} $ 温室气体排放量/投入总能源(C5) 负向型 $ {E}_{\mathrm{G}\mathrm{H}\mathrm{G}}/{E}_{\mathrm{i}\mathrm{n}} $ 表 2 影响程度之比(rk)赋值
Table 2. Assignment table of influence ratio (rk)
rk 指标Xk-1比Xk的重要程度 1.0 同样重要 1.1 介于同样重要和稍微重要之间 1.2 稍微重要 1.3 介于稍微重要和明显重要之间 1.4 明显重要 1.5 介于明显重要和强烈重要之间 1.6 强烈重要 1.7 介于强烈重要和极端重要之间 1.8 极端重要 表 3 各能源的标准煤折算系数
Table 3. Standard coal coefficient for each energy
能源或工质 折算系数(以标准煤计) 新水 0.085 7 kg/t 电力 0.122 9 kg/(kW·h) 热力 0.034 12 kg/MJ 表 4 废纸再生综合效能评估指标标准化数据
Table 4. Standardized data of comprehensive efficiency evaluation index of waste paper recycling
指标 企业1 企业2 企业3 企业4 企业5 企业6 企业7 企业8 企业9 C1 0.86 0.73 0.78 0.00 0.81 0.39 0.88 1.00 0.38 C2 0.68 0.41 1.00 0.09 0.50 0.00 0.82 0.91 0.23 C3 0.46 0.06 1.00 0.17 0.42 0.00 0.54 0.94 0.06 C4 0.79 0.42 0.83 0.00 0.63 0.21 0.63 1.00 0.21 C5 0.46 0.73 0.74 0.37 0.00 0.92 0.64 0.66 1.00 表 5 指标序关系及G1法权重
Table 5. Index order relation and weight of G1 method
指标 重要性之比$ ({r}_{k} )$ G1法权重 C3 — 0.27 C2 1.10 0.24 C5 1.30 0.19 C1 1.20 0.16 C4 1.10 0.14 表 6 废纸再生综合效能评估指标权重
Table 6. Comprehensive efficiency evaluation index weight of waste paper recycling
指标 熵权法 G1法 组合权重 组合权重排序 C1 0.13 0.16 0.14 4 C2 0.22 0.24 0.22 2 C3 0.33 0.27 0.32 1 C4 0.19 0.14 0.18 3 C5 0.13 0.19 0.14 4 表 7 废纸再生综合效能评估指标关联度
Table 7. Correlation degree of comprehensive efficiency evaluation index of waste paper recycling
关联度 指标关联度(以企业1为例) 效能评估等级 Ⅰ级 Ⅱ级 Ⅲ级 Ⅳ级 企业1 企业2 企业3 企业4 企业5 企业6 企业7 企业8 企业9 Kj(C1) 0.440 −0.440 −0.720 −0.813 Ⅰ Ⅱ Ⅰ Ⅳ Ⅰ Ⅲ Ⅰ Ⅰ Ⅲ Kj(C2) −0.179 0.280 −0.360 −0.573 Ⅱ Ⅱ Ⅰ Ⅳ Ⅱ Ⅳ Ⅰ Ⅰ Ⅳ Kj(C3) −0.475 −0.080 0.160 −0.313 Ⅲ Ⅳ Ⅰ Ⅳ Ⅲ Ⅳ Ⅱ Ⅰ Ⅳ Kj(C4) 0.160 −0.160 −0.580 −0.720 Ⅰ Ⅲ Ⅰ Ⅳ Ⅰ Ⅳ Ⅱ Ⅰ Ⅳ Kj(C5) −0.475 −0.080 0.160 −0.313 Ⅲ Ⅱ Ⅱ Ⅲ Ⅳ Ⅰ Ⅱ Ⅱ Ⅰ 表 8 各企业综合效能评估结果
Table 8. Comprehensive efficiency evaluation results of each enterprise
评价单元 综合关联度 综合效能等级 Ⅰ级 Ⅱ级 Ⅲ级 Ⅳ级 企业1 −0.127 −0.066 −0.211 −0.514 Ⅱ 企业2 −0.492 −0.328 −0.229 −0.213 Ⅳ 企业3 0.071 −0.610 −0.805 −0.870 Ⅰ 企业4 −0.832 −0.749 −0.497 0.152 Ⅳ 企业5 −0.366 −0.138 −0.166 −0.360 Ⅱ 企业6 −0.691 −0.770 −0.626 −0.132 Ⅳ 企业7 −0.047 0.072 −0.357 −0.572 Ⅱ 企业8 0.130 −0.648 −0.824 −0.883 Ⅰ 企业9 −0.646 −0.680 −0.361 −0.045 Ⅳ -
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