基于区间两阶段-部分信息模型的城市水资源优化配置

陈红光,王中君,王琼雅,买书魁

An interval-parameter two-stage partial information programming model for optimal urban water resource planning

Hongguang CHEN,Zhongjun WANG,Qiongya WANG,Shukui MAI

表5 用户配水方案

Table 5 User water allocation scheme

ijh	情景A							情景B
ijh	y_ij	T_ij_opt/10⁸m³		$S_{ijh opt}^{\pm}$ /10⁸m³		$F_{ijh opt}^{\pm}$ /10⁸m³		y_ij		T_ij_opt/10⁸m³		$S_{ijh opt}^{\pm}$ /10⁸m³		$F_{ijh opt}^{\pm}$ /10⁸m³
(1,1,1)	1.00	2.08		[0,10.54]		[0.28,0.54]		1.00		2.08		[0,10.54]		[0.54,0.28]
(1,2,1)	1.00	4.76		[0.53,4.76]		[0,4.23]		1.00		4.76		[0.53,4.76]		[0,4.23]
(1,3,1)	1.00	29.34		7.45		21.89		1.00		29.34		7.45		21.89
(1,4,1)	1.00	0.68		0.39		0.29		1.00		0.68		0.39		0.29
(2,1,1)	1.00	3.79		[0,0.60]		[3.19,3.79]		1.00		3.79		[0,0.60]		[3.19,3.79]
(2,2,1)	1.00	4.62		[0,0.24]		[4.38,4.62]		1.00		4.62		[0,0.24]		[4.38,4.62]
(2,3,1)	0	10.67		6.73		3.94		0		10.67		6.73		3.94
(2,4,1)	0.18	0.25		0.25		0		0.18		0.25		0.25		0
(1,1,2)	1.00	2.08		0		2.08		1.00		2.08		0		2.08
(1,2,2)	1.00	4.76		0		4.76		1.00		4.76		0		4.76
(1,3,2)	1.00	29.34		[4.79,7.19]		[22.15,24.55]		1.00		29.34		[4.79,7.19]		[22.15,24.55]
(1,4,2)	1.00	0.68		[0,0.41]		[0.27,0.68]		1.00		0.68		[0,0.41]		[0.27,0.68]
(2,1,2)	1.00	3.79		0		2.08		1.00		3.79		0		2.08
(2,2,2)	1.00	4.62		0		4.62		1.00		4.62		0		4.62
(2,3,2)	0	10.67		[4.02,5.85]		[4.82,6.65]		0		10.67		[4.02,5.85]		[4.82,6.65]
(2,4,2)	0.18	0.25		0		0.25		0.18		0.25		0		0.25
(1,1,3)	1.00	2.08		0		2.08		1.00		2.08		0		2.08
(1,2,3)	1.00	4.76		0		4.76		1.00		4.76		0		4.76
(1,3,3)	1.00	29.34		[0,6.89]		[22.45,29.34]		1.00		29.34		[0,6.89]		[22.45,29.34]
(1,4,3)	1.00	0.68		[0,0.41]		[0.27,0.61]		1.00		0.68		[0,0.41]		[0.27,0.61]
(2,1,3)	1.00	3.79		0		3.79		1.00		3.79		0		3.79
(2,2,3)	1.00	4.62		0		4.62		1.00		4.62		0		4.62
(2,3,3)	0	10.67		[2.65,3.71]		[6.69,8.11]		0		10.67		[2.65,3.71]		[6.69,8.11]
(2,4,3)	0.18	0.25		0		0.32		0.18		0.25		0		0.32
$f_{opt}^{\pm}$	[60.77,144.24]×10⁸元							[58.52,142.94]×10⁸元
ijh	情景C								情景D
ijh	y_ij		T_ij_opt/10⁸m³		$S_{ijh opt}^{\pm}$ /10⁸m³		$F_{ijh opt}^{\pm}$ /10⁸m³		y_ij		T_ij_opt/10⁸m³		$S_{ijh opt}^{\pm}$ /10⁸m³		$F_{ijh opt}^{\pm}$ /10⁸m³
(1,1,1)	1.00		2.08		0		2.08		1.00		2.08		0		2.08
(1,2,1)	1.00		4.76		0		4.76		1.00		4.76		0		4.76
(1,3,1)	1.00		29.34		[8.37,13.66]		[15.68,20.97]		1.00		29.34		[8.37,13.98]		[15.36,20.97]
(1,4,1)	1.00		0.68		[0,0.48]		[0.20,0.68]		1.00		0.68		[0,0.16]		[0.52,0.68]
(2,1,1)	0.19		2.62		0		2.62		0.19		2.62		0		2.62
(2,2,1)	1.00		4.62		0		4.62		1.00		4.62		0		4.62
(2,3,1)	0		10.67		[5.81,6.72]		[3.95,4.86]		0		10.67		[5.81,6.41]		[4.34,4.86]
(2,4,1)	0.18		0.25		0		0.25		0.18		0.25		[0,0.25]		[0,0.25]
(1,1,2)	1.00		2.08		0		2.08		1.00		2.08		0		2.08
(1,2,2)	1.00		4.76		0		4.76		1.00		4.76		0		4.76
(1,3,2)	1.00		29.34		[4.79,7.12]		[22.22,24.55]		1.00		29.34		[4.79,7.19]		[22.15,24.55]
(1,4,2)	1.00		0.68		[0,0.48]		[0.2,0.68]		1.00		0.68		[0,0.41]		[0.27,0.68]
(2,1,2)	0.19		2.62		0		2.62		0.19		2.62		0		2.62
(2,2,2)	1.00		4.62		0		4.62		1.00		4.62		0		4.62
(2,3,2)	0		10.67		[2.85,4.75]		[5.92,7.82]		0		10.67		[2.85,4.75]		[5.92,7.82]
(2,4,2)	0.18		0.25		0		0.25		0.18		0.25		0		0.25
(1,1,3)	1.00		2.08		0		2.08		1.00		2.08		0		2.08
(1,2,3)	1.00		4.76		0		4.76		1.00		4.76		0		4.76
(1,3,3)	1.00		29.34		[0,0.86]		[28.48,29.34]		1.00		29.34		[0,8.24]		[21.10,29.34]
(1,4,3)	1.00		0.68		[0,0.48]		[0.20,0.68]		1.00		0.68		[0,0.16]		[0.52,0.68]
(2,1,3)	0.19		2.62		0		2.62		0.19		2.62		0		2.62
(2,2,3)	1.00		4.62		0		4.62		1.00		4.62		0		4.62
(2,3,3)	0		10.67		[1.48,9.81]		[0.86,9.91]		0		10.67		[1.48,2.36]		[8.31,9.19]
(2,4,3)	0.18		0.25		0		0.25		0.18		0.25		[0,0.25]		[0,0.25]
$f_{opt}^{\pm}$	[56.74,141.36]×10⁸元								[57.24,142.65]×10⁸元