LOGON Project resource allocation.xlsx

Reliable Construction Co. Project Scheduling Problem

Activity Predecessors ES EF LS

H 10 — 0 10 0

I 8 H 10 18 15

J 6 H 10 16 10

K 4 J 16 20 21L 2 J 16 18 31M 4 J 16 20 16N 4 I 18 22 23O 5 I 18 23 25P 5 I,J 18 23 28Q 5 L 18 23 33R 5 M 20 25 20S 3 N 22 25 27T 3 Q 23 26 38U 1 O,S 25 26 30V 5 K,R 25 30 25W 2 U 26 28 31X 3 V 30 33 30Y 8 W,X 33 41 33Z 6 Y,T 41 47 41

Project mean Duration 47 4.0552.01370306

0.9985617

Mean Duration

LF Slack Critical?

10 0.00 YES

23 5.00 NO

16 0.00 YES

25 5.00 NO33 15.00 NO20 0.00 YES27 5.00 NO30 7.00 NO33 10.00 NO38 15.00 NO25 0.00 YES30 5.00 NO41 15.00 NO31 5.00 NO30 0.00 YES33 5.00 NO33 0.00 YES41 0.00 YES47 0.00 YES

Template for PERT/Cost

Estimated

DurationActivity (weeks) ES EF

H 10 0 10I 8 10 18J 6 10 16K 4 16 20L 2 16 18M 4 16 20N 4 18 22O 5 18 23P 5 18 23Q 5 18 23R 5 20 25S 3 22 25T 3 23 26U 1 25 26V 5 25 30W 2 26 28X 3 30 33Y 8 33 41Z 6 41 47

Weekly Project requirementCumulative Project requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

2

4

6

8

10

12

14

16

18

20

22

24

26

ES labor

Week Week Week Week1 2 3 4

5 5 5 5 54 0 0 0 08 0 0 0 02 0 0 0 06 0 0 0 03 0 0 0 02 0 0 0 05 0 0 0 06 0 0 0 02 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 09 0 0 0 0

14 0 0 0 06 0 0 0 06 0 0 0 0

14 0 0 0 05 0 0 0 0

5 5 5 55 10 15 20

Weekly labor requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

2

4

6

8

10

12

14

16

18

20

22

24

26

ES labor

Week Week Week Week Week5 6 7 8 95 5 5 5 50 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 05 5 5 5 5

25 30 35 40 45

Week Week Week Week Week10 11 12 13 145 0 0 0 00 4 4 4 40 8 8 8 80 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 05 12 12 12 12

50 62 74 86 98

Week Week Week Week Week15 16 17 18 190 0 0 0 04 4 4 4 08 8 0 0 00 0 2 2 20 0 6 6 00 0 3 3 30 0 0 0 20 0 0 0 50 0 0 0 60 0 0 0 20 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

12 12 15 15 20110 122 137 152 172

Week Week Week Week Week20 21 22 23 240 0 0 0 00 0 0 0 00 0 0 0 02 0 0 0 00 0 0 0 03 0 0 0 02 2 2 0 05 5 5 5 06 6 6 6 02 2 2 2 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

20 15 15 13 0192 207 222 235 235

Week Week Week Week Week25 26 27 28 290 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 9 0 0 00 14 14 14 140 0 6 6 00 0 0 0 00 0 0 0 00 0 0 0 00 23 20 20 14

235 258 278 298 312

Week Week Week Week Week30 31 32 33 340 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

14 0 0 0 00 0 0 0 00 6 6 6 00 0 0 0 140 0 0 0 0

14 6 6 6 14326 332 338 344 358

Week Week Week Week Week35 36 37 38 390 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

14 14 14 14 140 0 0 0 0

14 14 14 14 14372 386 400 414 428

Week Week Week Week Week40 41 42 43 440 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

14 14 0 0 00 0 5 5 5

14 14 5 5 5442 456 461 466 471

Week Week45 460 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 05 55 5

476 481

Template for PERT/Cost

Estimated

Duration Week Week

Activity (weeks) LS LF 1 2

H 10 0 10 5 5 5

I 8 15 23 4 0 0

J 6 10 16 8 0 0

K 4 21 25 2 0 0

L 2 31 33 6 0 0

M 4 16 20 3 0 0

N 4 23 27 2 0 0

O 5 25 30 5 0 0

P 5 28 33 6 0 0

Q 5 33 38 2 0 0

R 5 20 25 0 0 0

S 3 27 30 0 0 0

T 3 38 41 0 0 0

U 1 30 31 9 0 0

V 5 25 30 14 0 0

W 2 31 33 6 0 0

X 3 30 33 6 0 0

Y 8 33 41 14 0 0

Z 6 41 47 5 0 0Weekly Project requirementt 5 5

Cumulative Project requirement 5 10

Weekly labor requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

5

10

15

20

25

30LS labor

Week Week Week Week Week Week Week Week

3 4 5 6 7 8 9 10

5 5 5 5 5 5 5 5

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 05 5 5 5 5 5 5 5

15 20 25 30 35 40 45 50

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

5

10

15

20

25

30LS labor

Week Week Week Week Week Week Week Week

11 12 13 14 15 16 17 18

0 0 0 0 0 0 0 0

0 0 0 0 0 4 4 4

8 8 8 8 8 8 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 3 3

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 08 8 8 8 8 12 7 7

58 66 74 82 90 102 109 116

Week Week Week Week Week Week Week Week

19 20 21 22 23 24 25 26

0 0 0 0 0 0 0 0

4 4 4 4 4 0 0 0

0 0 0 0 0 0 0 0

0 0 0 2 2 2 2 0

0 0 0 0 0 0 0 0

3 3 0 0 0 0 0 0

0 0 0 0 0 2 2 2

0 0 0 0 0 0 0 5

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 14

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 07 7 4 6 6 4 4 21

123 130 134 140 146 150 154 175

Week Week Week Week Week Week Week Week

27 28 29 30 31 32 33 34

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 6 6 0

0 0 0 0 0 0 0 0

2 0 0 0 0 0 0 0

5 5 5 5 0 0 0 0

0 0 6 6 6 6 6 0

0 0 0 0 0 0 0 2

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 9 0 0 0

14 14 14 14 0 0 0 0

0 0 0 0 0 6 6 0

0 0 0 0 6 6 6 0

0 0 0 0 0 0 0 14

0 0 0 0 0 0 0 021 19 25 25 21 24 24 16

196 215 240 265 286 310 334 350

Week Week Week Week Week Week Week Week

35 36 37 38 39 40 41 42

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

2 2 2 2 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

14 14 14 14 14 14 14 0

0 0 0 0 0 0 0 516 16 16 16 14 14 14 5

366 382 398 414 428 442 456 461

Week Week Week Week

43 44 45 46

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

5 5 5 55 5 5 5

466 471 476 481

Template for PERT/Cost

Estimated

DurationActivity (weeks) ES EF

H 10 0 10I 8 10 18J 6 10 16K 4 16 20L 2 16 18M 4 16 20N 4 18 22O 5 18 23P 5 18 23Q 5 18 23R 5 20 25S 3 22 25T 3 23 26U 1 25 26V 5 25 30W 2 26 28X 3 30 33Y 8 33 41Z 6 41 47

Weekly Project requirementCumulative Project requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

2

4

6

8

10

12

14

16

18ES Equipment

Week Week Week Week1 2 3 4

8 8 8 8 82 0 0 0 06 0 0 0 01 0 0 0 02 0 0 0 02 0 0 0 00 0 0 0 00 0 0 0 06 0 0 0 00 0 0 0 04 0 0 0 04 0 0 0 00 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 0

8 8 8 88 16 24 32

Weekly labor requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

2

4

6

8

10

12

14

16

18ES Equipment

Week Week Week Week Week5 6 7 8 98 8 8 8 80 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 8 8 8

40 48 56 64 72

Week Week Week Week Week10 11 12 13 148 0 0 0 00 2 2 2 20 6 6 6 60 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 8 8 8

80 88 96 104 112

Week Week Week Week Week15 16 17 18 190 0 0 0 02 2 2 2 06 6 0 0 00 0 1 1 10 0 2 2 00 0 2 2 20 0 0 0 00 0 0 0 00 0 0 0 60 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 7 7 9

120 128 135 142 151

Week Week Week Week Week20 21 22 23 240 0 0 0 00 0 0 0 00 0 0 0 01 0 0 0 00 0 0 0 02 0 0 0 00 0 0 0 00 0 0 0 06 6 6 6 00 0 0 0 00 4 4 4 40 0 0 4 40 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 09 10 10 14 8

160 170 180 194 202

Week Week Week Week Week25 26 27 28 290 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 04 0 0 0 04 0 0 0 00 0 0 0 00 8 0 0 00 8 8 8 80 0 8 8 00 0 0 0 00 0 0 0 00 0 0 0 08 16 16 16 8

210 226 242 258 266

Week Week Week Week Week30 31 32 33 340 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 0 0 0 00 0 0 0 00 8 8 8 00 0 0 0 80 0 0 0 08 8 8 8 8

274 282 290 298 306

Week Week Week Week Week35 36 37 38 390 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 8 8 80 0 0 0 08 8 8 8 8

314 322 330 338 346

Week Week Week Week Week40 41 42 43 440 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 0 0 00 0 8 8 88 8 8 8 8

354 362 370 378 386

Week Week45 460 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 08 88 8

394 402

Template for PERT/Cost

Estimated

DurationActivity (weeks) LS LF

H 10 0 10I 8 15 23J 6 10 16K 4 21 25L 2 31 33M 4 16 20N 4 23 27O 5 25 30P 5 28 33Q 5 33 38R 5 20 25S 3 27 30T 3 38 41U 1 30 31V 5 25 30W 2 31 33X 3 30 33Y 8 33 41Z 6 41 47

Weekly Project requirementCumulative Project Cummulative

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

5

10

15

20

25

30 LS Equipment

Week Week Week Week1 2 3 4

8 8 8 8 82 0 0 0 06 0 0 0 01 0 0 0 02 0 0 0 02 0 0 0 00 0 0 0 00 0 0 0 06 0 0 0 00 0 0 0 04 0 0 0 04 0 0 0 00 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 08 0 0 0 0

8 8 8 88 16 24 32

Weekly labor requirement

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 450

5

10

15

20

25

30 LS Equipment

Week Week Week Week Week5 6 7 8 98 8 8 8 80 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 8 8 8

40 48 56 64 72

Week Week Week Week Week10 11 12 13 148 0 0 0 00 0 0 0 00 6 6 6 60 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 6 6 6 6

80 86 92 98 104

Week Week Week Week Week15 16 17 18 190 0 0 0 00 2 2 2 26 6 0 0 00 0 0 0 00 0 0 0 00 0 2 2 20 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 06 8 4 4 4

110 118 122 126 130

Week Week Week Week Week20 21 22 23 240 0 0 0 02 2 2 2 00 0 0 0 00 0 1 1 10 0 0 0 02 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 4 4 4 40 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 04 6 7 7 5

134 140 147 154 159

Week Week Week Week Week25 26 27 28 290 0 0 0 00 0 0 0 00 0 0 0 01 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 60 0 0 0 04 0 0 0 00 0 0 4 40 0 0 0 00 0 0 0 00 8 8 8 80 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 05 8 8 12 18

164 172 180 192 210

Week Week Week Week Week30 31 32 33 340 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 2 2 00 0 0 0 00 0 0 0 00 0 0 0 06 6 6 6 00 0 0 0 00 0 0 0 04 0 0 0 00 0 0 0 00 8 0 0 08 0 0 0 00 0 8 8 00 8 8 8 00 0 0 0 80 0 0 0 0

18 22 24 24 8228 250 274 298 306

Week Week Week Week Week35 36 37 38 390 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 8 8 80 0 0 0 08 8 8 8 8

314 322 330 338 346

Week Week Week Week Week40 41 42 43 440 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 08 8 0 0 00 0 8 8 88 8 8 8 8

354 362 370 378 386

Week Week45 460 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 08 88 8

394 402