Multiproject Resources Allocation Model under Fuzzy Random Environment and Its Application to Industrial Equipment Installation Engineering

Table 1

The activity duration and resource consumption for the installation projects.

No.	Mode	Duration	Resource requirement
			CR	CM	WO	EE
			16	10	30	6
A	1	{(32,34,36),0.5;(35,38,41),0.3;(42,48,54),0.2}	6	4	8	2
	2	{(28,30,32),0.5;(30,33,35),0.3;(35,40,45),0.2}	8	5	12	2
B	1	{(20,23,26),0.4;(22,25,28),0.3;(25,30,35),0.3}	3	2	4	2
	2	{(15,18,21),0.4;(18,21,24),0.3;(20,23,26),0.3}	4	2	6	2
	3	{(12,15,18),0.4;(15,18,21),0.3;(20,24,28),0.3}	5	4	8	2
C	1	{(20,23,26),0.3;(22,25,28),0.3;(25,30,35),0.4}	2	3	0	0
	2	{(15,18,21),0.3;(18,21,24),0.3;(20,23,26),0.4}	3	3	0	0
D	1	{(24,26,28),0.3;(26,28,30),0.3;(30,32,34),0.4}	2	0	4	0
	2	{(20,23,26),0.3;(22,25,28),0.3;(25,30,35),0.4}	2	0	6	0
	3	{(18,20,22),0.3;(20,22,24),0.3;(22,24,26),0.4}	3	0	8	0
E	1	{(28,30,32),0.3;(30,33,35),0.3;(35,40,45),0.4}	2	0	3	0
	2	{(24,26,28),0.3;(28,31,34),0.3;(30,34,38),0.4}	3	0	4	0
	3	{(20,23,26),0.3;(22,25,28),0.3;(25,28,31),0.4}	4	0	5	0
F	1	{(15,17,19),0.4;(17,19,21),0.3;(20,22,24),0.3}	2	4	0	0
	2	{(10,12,14),0.4;(12,15,18),0.3;(15,18,21),0.3}	3	6	0	0
G	1	{(15,17,19),0.4;(17,19,21),0.3;(20,22,24),0.3}	2	0	8	1
	2	{(10,12,14),0.4;(12,15,18),0.4;(15,18,21),0.2}	3	0	10	2
H	1	{(3,5,7),1.0}	0	0	0	4
	2	{(5,7,9),1.0}	0	0	0	6
I	1	{(32,34,36),0.3;(35,38,41),0.3;(42,48,54),0.4}	2	2	4	0
	2	{(28,30,32),0.3;(30,33,35),0.3;(35,40,45),0.4}	4	3	6	0
J	1	{(20,23,26),0.5;(22,25,28),0.4;(25,30,35),0.1}	2	0	0	2
	2	{(15,18,21),0.5;(18,21,24),0.4;(20,23,26),0.1}	2	0	0	2
	3	{(12,15,18),0.5;(15,18,21),0.4;(20,24,28),0.1}	3	0	0	3
K	1	{(28,30,32),0.3;(30,33,35),0.3;(35,40,45),0.4}	1	0	3	1
	2	{(22,25,27),0.3;(25,28,31),0.3;(30,33,36),0.4}	2	0	5	2
L	1	{(15,17,19),0.5;(17,19,21),0.4;(20,22,24),0.1}	0	0	4	2
	2	{(13,15,17),0.5;(15,17,19),0.4;(17,20,23),0.1}	0	0	6	3
	3	{(12,14,16),0.5;(14,15,16),0.4;(16,17,18),0.1}	0	0	8	4