An Adapted Firefly Algorithm for Product Development Project Scheduling with Fuzzy Activity Duration

Table 5

Project data for an electronic product development project [1].

Act.; number	Fuzzy duration	Resource required				Successors
		1	(0, 0, 0, 0)	0	0		0	0	2
2	(5, 6, 6, 7)	3	0	0	0	3
3	(10, 12, 12, 13)	5	3	3	2	4, 5
4	(4, 5, 5, 6)	4	2	4	2	6
5	(7, 8, 8, 10)	4	2	2	2	6
6	(2, 4, 4, 6)	5	0	0	0	7
7	(3, 4, 4, 5)	4	2	2	2	8
8	(2, 3, 3, 4)	4	3	3	2	9, 10, 11, 13
9	(2, 3, 3, 5)	0	4	2	0	14
10	(3, 4, 4, 6)	2	1	5	3	15
11	(4, 5, 5, 6)	4	0	0	0	12
12	(7, 9, 9, 10)	5	0	0	0	16
13	(3, 4, 4, 5)	3	0	0	1	16
14	(1, 2, 2, 3)	3	2	0	1	16
15	(1, 2, 2, 3)	3	0	3	2	16
16	(1, 2, 2, 2)	4	2	2	2	17
17	(3, 4, 4, 5)	5	2	2	0	18, 19
18	(4, 5, 5, 6)	5	2	4	2	20
19	(4, 5, 5, 6)	4	2	4	3	20
20	(5, 6, 6, 7)	5	2	3	4	21, 22, 23
21	(5, 7, 7, 9)	4	0	0	0	24
22	(3, 5, 5, 7)	5	1	4	4	24
23	(4, 5, 5, 6)	0	3	0	0	24
24	(1, 2, 2, 3)	5	1	1	1	25
25	(8, 10, 10, 12)	2	1	5	3	26, 27, 28
26	(4, 5, 5, 6)	2	1	5	3	30
27	(4, 6, 6, 8)	0	0	4	3	29
28	(6, 7, 7, 8)	0	4	0	2	30
29	(10, 12, 12, 14)	2	2	4	4	30
30	(1, 2, 2, 4)	4	2	2	2	31, 32, 33, 39, 40, 42
31	(9, 11, 11, 10)	4	2	3	0	34
32	(10, 13, 13, 14)	5	0	3	2	37
33	(8, 10, 10, 11)	0	0	4	2	38
34	(6, 8, 8, 9)	4	3	2	0	35
35	(3, 4, 4, 5)	4	2	3	3	36
36	(4, 6, 6, 7)	2	2	0	4	41
37	(1, 3, 3, 4)	0	0	2	0	41
38	(3, 4, 4, 5)	0	0	2	2	41
39	(1, 2, 2, 3)	1	0	3	1	41
40	(2, 3, 3, 4)	0	0	2	2	41
41	(1, 1, 1, 2)	4	0	4	3	45, 46, 49
42	(3, 4, 4, 5)	0	4	0	0	43
43	(1, 2, 2, 3)	3	3	0	0	44
44	(1, 2, 2, 3)	3	0	3	0	45, 46
45	(3, 4, 4, 5)	2	3	4	1	52
46	(4, 5, 5, 6)	2	2	4	2	47
47	(4, 5, 5, 6)	5	2	2	3	48
48	(3, 4, 4, 5)	2	0	4	2	52
49	(5, 7, 7, 8)	2	0	2	3	50
50	(6, 8, 8, 10)	4	2	3	2	51
51	(2, 3, 3, 5)	4	2	3	3	52
52	(2, 4, 4, 7)	4	2	3	3	53
53	(0, 0, 0, 0)	0	0	0	0	—