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时间:2021-09-06 17:51 来源: Essay代写

摘要:3. The details of a project consisting of twelve activities appear in the following table. All dependencies are of the Finish-to-Start type with  =......

MANAGING PROJECTS         MATH09006               COURSEWORK 1

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Prepare answers to question 3 from last year's final examination paper, namely:

3. The details of a project consisting of twelve activities appear in the following table.  All dependencies are of the Finish-to-Start type with  = 0  in all cases so that, for example activity  C  may start immediately upon the completion of activity  A.  The durations are given in days and the human resource requirements are in numbers of people required over the whole duration of an activity.  It may be assumed that all people are interchangeable and can work on any activity.

Activity A B  D E F G H I J K L
Dependencies - - A A,B C C D,F E,G D,F  G,H,I B J,K
Durations  1 4 7 10 2 2 3 4 3 5 12 6
Human Resource Requirements 5 7 6 4 8 8 3 7 2 9 8 14


 i) Draw an Activity-on-Arrow (AoA) OR an Activity-on-Node (AoN)   representation of this project.  Identify and state the critical path and its duration (12 MARKS)

ii) Draw a Gantt chart and resource profile to show that if each activity starts as early as possible, then the maximum number of people required at any point in time is 28. (5 MARKS)

iii) Determine the theoretically smallest maximum number of people required at any point in time without lengthening the duration of the critical path.  Explain why it is not feasible to reduce the number of people required down to this level and state with reasons, the practical minimum for this project.     (5 MARKS)

iv) Determine a schedule such that the maximum number of people required at any point in time may be reduced to 17 without lengthening the duration of the critical path. (3 MARKS)
 

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