Operations management
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The Maser is a new custom-designed sports car. An analysis of the task of building the Maser reveals the following list of relevant activities, their immediate predecessors, and their duration.
(see chart in attached file)
a) Draw a network diagram for the project.
b) Mark the critical path and state its length.
c) If the Maser had to be completed 2 days earlier, would it help to
i) Buy preassembled transmissions and drivetrains?
ii) Install robots to halve engine-building time?
iii) Speed delivery of special accessories by 3 days?
d) How might resources be borrowed from activities on the non-critical path to speed activities on the critical path?
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Solution Summary
This solution is comprised of a detailed explanation to draw a network diagram for the project, mark the critical path and state its length, answer if the Maser had to be completed 2 days earlier, would it help to buy preassembled transmissions and drivetrains, install robots to halve engine-building time, speed delivery of special accessories by 3 days, and how might resources be borrowed from activities on the non-critical path to speed activities on the critical path.
Solution Preview
Please see the attached file.
Job
Letter Description Immediate Predecessor(s) Normal Time (days)
A Start -- 0
B Design A 8
C Order special accessories B 0.1
D Build frame B 1
E Build doors B 1
F Attach axles, wheels, gas tank D 1
G Build body shell B 2
H Build transmission and drivetrain B 3
I Fit doors to body shell G, E 1
J Build engine B 4
K Bench-test engine J 2
L Assemble chassis F, H, K 1
M Road-test chassis L 0.5
N Paint body I 2
O Install wiring N 1
P Install interior N 1.5
Q Accept delivery of special accessories C 5
R Mount body and accessories on chassis M, O, P, Q 1
S Road test car R 0.5
T Attach exterior trim S 1
U Finish T 0
a) Draw a network diagram for the project.
b) Mark the critical path and state its length.
c) If the Maser had to be completed 2 days earlier, would it help to
i) Buy preassembled transmissions and drivetrains?
ii) Install robots to halve engine-building time?
iii) Speed delivery of special accessories by 3 days?
d) How might resources be borrowed from activities on the non-critical path to speed activities on the critical path?
a) Draw a network diagram for the project.
To find the critical path, we need to determine the following quantities for each activity in the
network.
1. Earliest start time (ES): the earliest time an activity can begin without violation of immediate
predecessor requirements
2. Earliest finish time (EF): the earliest time at which an activity can end
3. ...
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