Inexact Multistage Stochastic Chance Constrained Programming Model for Water Resources Management under Uncertainties

Table 7

Solutions for the third planning period (, ).

Scenario symbol ()	User	Water flow level	Probability (%)	Associated water flow	Associated probability (%)	Water targets ()	Water shortage ()	Water allocation ()
131	Municipal	L	20	L-L-L	0.8	3.212
231	Industrial	L	20	L-L-L	0.8	4.423
331	Agricultural	L	20	L-L-L	0.8	4.938
132	Municipal	M	60	L-L-M	2.4	3.212
232	Industrial	M	60	L-L-M	2.4	4.423
332	Agricultural	M	60	L-L-M	2.4	4.938
133	Municipal	H	20	L-L-H	0.8	3.212
233	Industrial	H	20	L-L-H	0.8	4.423
333	Agricultural	H	20	L-L-H	0.8	4.938
134	Municipal	L	20	L-M-L	2.4	3.212
234	Industrial	L	20	L-M-L	2.4	4.423
334	Agricultural	L	20	L-M-L	2.4	4.938
135	Municipal	M	60	L-M-M	7.2	3.212
235	Industrial	M	60	L-M-M	7.2	4.423
335	Agricultural	M	60	L-M-M	7.2	4.938
136	Municipal	H	20	L-M-H	2.4	3.212
236	Industrial	H	20	L-M-H	2.4	4.423
336	Agricultural	H	20	L-M-H	2.4	4.938
137	Municipal	L	20	L-H-L	0.8	3.212
237	Industrial	L	20	L-H-L	0.8	4.423
337	Agricultural	L	20	L-H-L	0.8	4.938
138	Municipal	M	60	L-H-M	2.4	3.212
238	Industrial	M	60	L-H-M	2.4	4.423
338	Agricultural	M	60	L-H-M	2.4	4.938
139	Municipal	H	20	L-H-H	0.8	3.212
239	Industrial	H	20	L-H-H	0.8	4.423
339	Agricultural	H	20	L-H-H	0.8	4.938
1310	Municipal	L	20	M-L-L	2.4	3.212
2310	Industrial	L	20	M-L-L	2.4	4.423
3310	Agricultural	L	20	M-L-L	2.4	4.938
1311	Municipal	M	60	M-L-M	7.2	3.212
2311	Industrial	M	60	M-L-M	7.2	4.423
3311	Agricultural	M	60	M-L-M	7.2	4.938
1312	Municipal	H	20	M-L-H	2.4	3.212
2312	Industrial	H	20	M-L-H	2.4	4.423
3312	Agricultural	H	20	M-L-H	2.4	4.938
1313	Municipal	L	20	M-M-L	7.2	3.212
2313	Industrial	L	20	M-M-L	7.2	4.423
3313	Agricultural	L	20	M-M-L	7.2	4.938
1314	Municipal	M	60	M-M-M	21.6	3.212
2314	Industrial	M	60	M-M-M	21.6	4.423
3314	Agricultural	M	60	M-M-M	21.6	4.938
1315	Municipal	H	20	M-M-H	7.2	3.212
2315	Industrial	H	20	M-M-H	7.2	4.423
3315	Agricultural	H	20	M-M-H	7.2	4.938
1316	Municipal	L	20	M-H-L	2.4	3.212
2316	Industrial	L	20	M-H-L	2.4	4.423
3316	Agricultural	L	20	M-H-L	2.4	4.938
1317	Municipal	M	60	M-H-M	7.2	3.212
2317	Industrial	M	60	M-H-M	7.2	4.423
3317	Agricultural	M	60	M-H-M	7.2	4.938
1318	Municipal	H	20	M-H-H	2.4	3.212
2318	Industrial	H	20	M-H-H	2.4	4.423
3318	Agricultural	H	20	M-H-H	2.4	4.938
1319	Municipal	L	20	H-L-L	0.8	3.212
2319	Industrial	L	20	H-L-L	0.8	4.423
3319	Agricultural	L	20	H-L-L	0.8	4.938
1320	Municipal	M	60	H-L-M	2.4	3.212
2320	Industrial	M	60	H-L-M	2.4	4.423
3320	Agricultural	M	60	H-L-M	2.4	4.938
1321	Municipal	H	20	H-L-H	0.8	3.212
2321	Industrial	H	20	H-L-H	0.8	4.423
3321	Agricultural	H	20	H-L-H	0.8	4.938
1322	Municipal	L	20	H-M-L	2.4	3.212
2322	Industrial	L	20	H-M-L	2.4	4.423
3322	Agricultural	L	20	H-M-L	2.4	4.938
1323	Municipal	M	60	H-M-M	7.2	3.212
2323	Industrial	M	60	H-M-M	7.2	4.423
3323	Agricultural	M	60	H-M-M	7.2	4.938
1324	Municipal	H	20	H-M-H	2.4	3.212
2324	Industrial	H	20	H-M-H	2.4	4.423
3324	Agricultural	H	20	H-M-H	2.4	4.938
1325	Municipal	L	20	H-H-L	0.8	3.212
2325	Industrial	L	20	H-H-L	0.8	4.423
3325	Agricultural	L	20	H-H-L	0.8	4.938
1326	Municipal	M	60	H-H-M	2.4	3.212
2326	Industrial	M	60	H-H-M	2.4	4.423
3326	Agricultural	M	60	H-H-M	2.4	4.938
1327	Municipal	H	20	H-H-H	0.8	3.212
2327	Industrial	H	20	H-H-H	0.8	4.423
3327	Agricultural	H	20	H-H-H	0.8	4.938

, , and ; -optimistic value to the net system benefit: .