Project Management Assignment: Scheduling, Capacity, and Analysis

This document presents a solution to a project management assignment, addressing key concepts such as scheduling operations, capacity planning, and critical path analysis. The solution includes a Gantt chart, makespan calculation, machine idle time analysis, and machine utilization. The assignment also involves network diagrams, forward and backward passes, and identification of the critical path. The document provides detailed calculations and answers related to job delivery times, bottleneck identification, and waiting times for different jobs, offering a comprehensive understanding of project management principles. This assignment is a good resource for understanding project management concepts and preparing for similar assignments.

Running head: PROJECT MANAGEMENT
PROJECT MANAGEMENT
Name of the Student
Name of the University
Author Note

1PROJECT MANAGEMENT
Question 1
Job Work Center/Machine Hours
Due Date (days)
1 A/3, B/2, C/2 3
2 C/2, A/4 2
3 B/6, A/1, C/3 4
4 C/4, A/1, B/2 3
a. Gantt chart using finite capacity scheduling
Mahchine/
Hr
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
A 1 1 1 2 2 2 2 4 3
B 1 1 3 3 3 3 3 3 4 4
C 2 2 4 4 4 4 1 1 3 3 3
b. Makespan = 18 hour
c. Machine idle time:
For machine A= 9 hrs, B= 10 hrs and C= 11 hrs.
Total Idle Time = 30 hrs.
d. Waiting time for each job:
Job 1 = 2 hrs.

2PROJECT MANAGEMENT
Job 2 = 1 hr.
Job 3 = 8 hrs.
Job 4 = 7 hrs.
e. Job delivery Time
Job 1 = 9 hrs.
Job 2 = 7 hrs.
Job 3 = 18 hrs.
Job 4 = 14 hrs.
f. Bottleneck = Machine C.
g. Machine Utilization:
Machine utilization = Total machine idle time/ total hours = 30/54 = 55.55%
Question 2:
Activity Immediate Predecessor Activity time
A - 3
B A 2
C - 5
D B, C 2
E A 4
F B, C 6
G E, D 5
a. Network of the Project

3PROJECT MANAGEMENT
b. Forward pass and backward pass
c. Critical path:
ABDG
AEG