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Precedence Diagram and Resource Allocation Solution, Lab Reports of Engineering

Sana'a UniversityEngineering

A solution to a project management problem involving the determination of a precedence diagram, cycle time, minimum number of workstations, task assignments, and resource utilization. The problem includes task dependencies, task times, and workstation capacities.

Typology: Lab Reports

2020/2021

Uploaded on 05/13/2022

amer-mohia
amer-mohia 🇾🇪

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bg1
ab
c
d
e
f
g
h
1.4 0.5
0.6
0.7
0.8
0.5
1.0
0.5
Assignment (Solution)
Name:
Task Immediate Predecessor Task time (min)
a - 1.4
b a 0.5
c b 0.6
d b 0.7
e b 0.8
f c 0.5
g e, d 1.0
h f, g 0.5
(1) Draw a precedence diagram.
Solution
(2) Assume an 8hour workday, compute cycle time to obtain an output rate of 266
units a day.
Solution
CycleTime=Work time per da y
Output per day =8×(60 min)
266 units
CycleTime=1.8045 minutes
(3) Determine the minimum number of workstations.
pf3

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a (^) b c d e f g h 1.4 (^) **0.

0.**

Assignment (Solution)

Name:

Task Immediate Predecessor Task time (min) a - 1. b a 0. c b 0. d b 0. e b 0. f c 0. g e, d 1. h f, g 0.

(1) Draw a precedence diagram.

Solution

(2) Assume an 8hour workday, compute cycle time to obtain an output rate of 266

units a day.

Solution

CycleTime = Work time per da y Output per day

8 × ( 60 min ) 266 units CycleTime =1.8045 minutes

(3) Determine the minimum number of workstations.

Solution

N =

∑ task^ time

cycletime N =

∴ Minimum Number of Workstations =3.325 ≈ 4

(4) Assign tasks to workstations using this rule: Assign tasks in order of the most

following tasks. In case of a tie, use a tiebreaker which is assigning tasks in

order of the greatest positional weight.

Solution

Table 1 : Terms of Greatest Positional Weight Task Task Time in minutes Number of Following Tasks Positional Weight (Highest to Lowest)

a 1.4 4 1.4+0.5+0.8+1+0.5=4.

b 0.5 3 0.5+0.8+1+0.5=2.

e 0.8 2 0.8+1+0.5=2.

d 0.7 2 0.7+1+0.5=2.

c 0.6 2 0.6+0.5+0.5=1.

g 1.0 1 1+0.5=1.

f 0.5 1 0.5+0.5=

h 0.5 0 0.