Multimode Resource-Constrained Multiple Project Scheduling Problem under Fuzzy Random Environment and Its Application to a Large Scale Hydropower Construction Project

Table 1

Detailed information of each activity in the river diversion construction project.

No. of activity	Mode	Nonrenewable resources			Renewable resources		Quality index	Crashed duration
		𝑘=1	𝑘=2	𝑘=3	𝑟=1	𝑟=2
𝑆	1	0	0	0	0	0	0	0
1	1	10.2,𝜑,17.6	4.4,𝜑,6.2	16.5,𝜑,19.1	4.2,𝜑,5.6	5.2,𝜑,5.8	9.2,𝜑,9.7	2.5,𝜑,4.9
		𝜑∼𝑁13.8,2.3^2	𝜑∼𝑁5.5,0.6^2	𝜑∼𝑁17.7,1.6^2	𝜑∼𝑁4.3,0.7^2	𝜑∼𝑁5.5,0.5^2	𝜑∼𝑁9.4,1.3^2	𝜑∼𝑁3.3,1.0^2
	2	8.5,𝜑,13.7	5.3,𝜑,7.6	14.1,𝜑,17.4	3.6,𝜑,4.7	(3.6,𝜑,5.7)	8.8,𝜑,9.3	2.8,𝜑,5.7
		𝜑∼𝑁10.9,3.6^2	𝜑∼𝑁6.2,0.8^2	𝜑∼𝑁15.8,2.0^2	𝜑∼𝑁4.1,0.8^2	𝜑∼𝑁4.3,0.8^2	𝜑∼𝑁9.0,1.7^2	𝜑∼𝑁3.9,1.1^2
2	1	35.5,𝜑,38.7	12.8,𝜑,17.3	23.3,𝜑,26.5	8.3,𝜑,11.5	6.2,𝜑,8.4	9.4,𝜑,9.7	9.8,𝜑,14.7
		𝜑∼𝑁37.1,3.0^2	𝜑∼𝑁15.6,2.0^2	𝜑∼𝑁25.1,2.1^2	𝜑∼𝑁9.6,1.2^2	𝜑∼𝑁7.3,1.0^2	𝜑∼𝑁9.5,1.8^2	𝜑∼𝑁12.6,2.0^2
	2	31.3,𝜑,36.5	10.7,𝜑,13.5	25.2,𝜑,29.1	6.3,𝜑,8.0	6.5,𝜑,7.2	8.9,𝜑,9.5	11.0,𝜑,14.3
		𝜑∼𝑁33.2,2.5^2	𝜑∼𝑁12.6,2.3^2	𝜑∼𝑁27.4,2.1^2	𝜑∼𝑁7.5,1.1^2	𝜑∼𝑁6.8,1.0^2	𝜑∼𝑁9.1,1.6^2	𝜑∼𝑁12.0,2.2^2
⋮
16	1	32.3,𝜑,35.5	22.6,𝜑,27.3	26.2,𝜑,32.5	7.2,𝜑,9.3	5.2,𝜑,7.6	9.5,𝜑,9.8	5.5,𝜑,8.3
		𝜑∼𝑁33.6,2.0^2	𝜑∼𝑁24.7,2.1^2	𝜑∼𝑁28.8,1.7^2	𝜑∼𝑁8.1,1.0^2	𝜑∼𝑁6.3,1.1^2	𝜑∼𝑁9.6,1.3^2	𝜑∼𝑁6.9,1.6^2
	2	28.4,𝜑,31.5	23.3,𝜑,27.6	24.2,𝜑,27.4	6.5,𝜑,8.7	4.1,𝜑,6.5	8.9,𝜑,9.3	7.2,𝜑,9.0
		𝜑∼𝑁29.9,2.1^2	𝜑∼𝑁25.4,1.8^2	𝜑∼𝑁25.6,1.8^2	𝜑∼𝑁7.3,1.2^2	𝜑∼𝑁5.4,0.7^2	𝜑∼𝑁9.1,1.2^2	𝜑∼𝑁8.2,1.3^2
𝑇	1	0	0	0	0	0	0	0
No. of activity		Normal duration	Unit indirect cost	Unit crashing cost	Fixed direct cost	Earned value	Predecessors
𝑆		0	0	0	0	0
1		5.2,𝜑,6.6	20.7,𝜑,23.0	15.2,𝜑,17.4	39.5	87.6
		𝜑∼𝑁5.9,1.2^2	𝜑∼𝑁21.3,2.1^2	𝜑∼𝑁16.1,3.6^2
2		13.0,𝜑,16.5	22.6,𝜑,25.5	26.8,𝜑,30.8	85.6	123.7	1
		𝜑∼𝑁14.9,2.3^2	𝜑∼𝑁24.3,2.0^2	𝜑∼𝑁28.3,3.2^2
⋮
16		8.2,𝜑,10.6	16.3,𝜑,19.7	36.8,𝜑,39.2	46.2	123.1	13,14
		𝜑∼𝑁9.5,1.5^2	𝜑∼𝑁18.2,2.1^2	𝜑∼𝑁37.9,2.9^2
𝑇		0	0	0	0	0