The maintenance department of RDB Company has devised the following set of tasks to replace a major component in its most important equipment. Determine how long the normal maintenance work will take. Management requires that the machine would be operational at the earliest possible time. How long will this take and what would be the equivalent increase in maintenance cost? Remember to prepare the network diagram with computed Time Estimates (ES, LS, EF, LF and Slack) and formulate LP model before and after crashing. Task Predecessor Normal Time (days) Max. Possible Compression Days Expediting Cost Day (Pesos) 6 2 12 8 7 16 23 25 AB A B A A C. D D D, E I F.G.H с D E F HOM G 0 1 2 2 1 0 1 3 1 500 800 1,750 1.000 1,000 3,000 10,000

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The maintenance department of RDB Company has devised the following set of tasks to replace a major
component in its most important equipment. Determine how long the normal maintenance work will take.
Management requires that the machine would be operational at the earliest possible time. How long will this
take and what would be the equivalent increase in maintenance cost? Remember to prepare the network diagram
with computed Time Estimates (ES, LS, EF, LF and Slack) and formulate LP model before and after crashing.
Task
ABCDEFGH
I
Predecessor Normal Time (days) Max. Possible Compression Days Expediting Cost Day (Pesos)
-
6
2
12
8
7
A
B
A
A
C.D
D
D.E
F.G.H
6354
16
23
25
0
1
2
2
1
0
1
3
1
500
800
1,750
1.000
1.000
3,000
10,000
Transcribed Image Text:The maintenance department of RDB Company has devised the following set of tasks to replace a major component in its most important equipment. Determine how long the normal maintenance work will take. Management requires that the machine would be operational at the earliest possible time. How long will this take and what would be the equivalent increase in maintenance cost? Remember to prepare the network diagram with computed Time Estimates (ES, LS, EF, LF and Slack) and formulate LP model before and after crashing. Task ABCDEFGH I Predecessor Normal Time (days) Max. Possible Compression Days Expediting Cost Day (Pesos) - 6 2 12 8 7 A B A A C.D D D.E F.G.H 6354 16 23 25 0 1 2 2 1 0 1 3 1 500 800 1,750 1.000 1.000 3,000 10,000
The Province of Laguna is planning to build a new sports facility. The design has the parking lot separated
form the main stadium with the stadium only having one entrance gate for security reasons. People from the
parking area can go to the stadium via several footpaths through landscaped garden areas, in keeping with
the green design. The network of footpaths is composed of different sizes and converges on specific
junctions. The table below indicates the design capacity of each pair of path between junctions with blank
cells representing unavailable links. Note that the forward and backward capacities may differ. The intent
of the design is to enable 100,000 people to move from the parking areas to the stadium within an hour.
Should the footpath network be redesigned?
From To
Parking Lot Gate (PLG)
Junction 1 (J1)
Junction 2 (12)
Junction 3 (33)
Junction 4 (14)
Junction 5 (15)
Junction 6 (16)
Stadium Entrance (SE)
-
15
60
30
2...3
PLG J1 32 33 34 35 36 SE
40 30 45
35 10
25.90.
40
15 20
60
50 25
.
40 45
S
・・
40
60
30
10
15 15 35-
Transcribed Image Text:The Province of Laguna is planning to build a new sports facility. The design has the parking lot separated form the main stadium with the stadium only having one entrance gate for security reasons. People from the parking area can go to the stadium via several footpaths through landscaped garden areas, in keeping with the green design. The network of footpaths is composed of different sizes and converges on specific junctions. The table below indicates the design capacity of each pair of path between junctions with blank cells representing unavailable links. Note that the forward and backward capacities may differ. The intent of the design is to enable 100,000 people to move from the parking areas to the stadium within an hour. Should the footpath network be redesigned? From To Parking Lot Gate (PLG) Junction 1 (J1) Junction 2 (12) Junction 3 (33) Junction 4 (14) Junction 5 (15) Junction 6 (16) Stadium Entrance (SE) - 15 60 30 2...3 PLG J1 32 33 34 35 36 SE 40 30 45 35 10 25.90. 40 15 20 60 50 25 . 40 45 S ・・ 40 60 30 10 15 15 35-
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