Allocation of Distributed Energy Systems at District-Scale over Wide Areas for Sustainable Urban Planning with a MILP Model

Table 9

Average solution results obtained by mathematical model for each problem set.

Pr. Set	No. of; demand points	No. of; candidate facilities	Avg. solution time (sec)	Avg. value for lower bound	Avg. value for upper bound	Percent deviation	Avg. iteration count	Avg. node number	Avg. Dc	No. of; opt.; results
1	5	2	0.03	9.15	9.15	0	28	4	7	10
2	10	4	1.10	17.69	17.69	0	27474	1530	6	10
3	15	6	447.11	31.05	31.05	0	5367735	201070	9	10
4	20	8	2853.8	34.62	34.3	0.92	20612336	562825	7	7
5	25	10	3911.5	43.02	42.17	1.66	18302425	281668	7	5
6	30	12	5773.5	59.1	57.14	3.27	28259836	511072	8	3
7	35	14	6647.2	63.68	61.01	4.16	27895929	440645	7	1
8	40	16	5760	68.23	65.27	4.39	24321810	325675	5	2
9	50	20	7200	105.22	97.48	7.99	25325270	472977	8	0
10	100	40	7200	203.79	181.94	12.01	11287922	188854	7	0