# An Introduction To Management Science Essay

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## Question:

Explain about the Report for An Introduction To Management Science?

1:

Here, Expected duration = (Best case + 4 * Most typical case + Worst case) / 6

Standard deviation = sqrt (((Best case – Worst case)/6) ^2)

 Schedule mode Best case Most typical case Worst case Expected duration Variance Standard deviation ID speaker topics ASAP 1 3 5 3.000 0.444 0.667 Contact speakers ASAP 8 9 12 9.333 0.444 0.667 Select hotel ASAP 4 5 7 5.167 0.250 0.500 Arrange hotel accommodations ASAP 2 4 4 3.667 0.111 0.333 Arrange catering ASAP 4 5 7 5.167 0.250 0.500 Develop brochure ASAP 7 9 12 9.167 0.694 0.833 Print and mail brochure ASAP 4 8 8 7.333 0.444 0.667 Develop exhibit material ASAP 10 12 15 12.167 0.694 0.833 Develop workbook ASAP 4 5 7 5.167 0.250 0.500 Print and bind workbook ASAP 3 5 6 4.833 0.250 0.500 Final set-up for conference ALAP 2 3 5 3.167 0.250 0.500

2: According to the critical path analysis, the critical path of the project is as follow:

Start -> ID speaker topics -> Contact speakers -> Develop brochure -> Print and mail brochure -> Develop workbook -> Print and bind workbook -> Finish

Hence, the duration of the project will be

3 + 9.333 + 9.167 + 7.333 + 5.167 + 4.833 = 39

3: The standard deviation of the critical path will be

0.667+ 0.667 + 0.833 + 0.500 + 0.500 = 3.167

4: Let the duration of the project is D1 when 1? is added.

Since, about 68% of observations lie within ±1 ?, we have z value is 1

Therefore, (D1 – 39) / 3.167 = 1

Or, D1 = 39 + 3.167 = 42.167

Let the duration of the project is D2 when 2? is added.

Since, about 68% of observations lie within ±2 ?, we have z value is 1.96

Therefore, (D1 – 39) / 3.167 = 1.96

Or, D1 = 39 + 6.21 = 45.21

5:

 Expected duration Latest Start Earliest Start Float ID speaker topics 3 0 0 0 Contact speakers 9 3 3 0 Select hotel 5 9 0 9 Arrange hotel accommodations 4 15 5 10 Arrange catering 5 18 9 9 Develop brochure 9 12 12 0 Print and mail brochure 7 21 21 0 Develop exhibit material 12 23 14 9 Develop workbook 5 29 29 0 Print and bind workbook 5 34 34 0 Final set-up for conference 3 36 26 10

6:
Since, both “Develop workbook” and “Print workbook” are critical activities, any changes in these activities will influence the overall duration of the project. Note that the activity “Develop workbook” will start as soon as “ID speaker topics” is complete. Hence, it will reduce the overall duration. Initially the duration was 39 days. Now it reduced to 29 days. At the same time the critical path will also change.

## Bibliography

Anderson, D., Sweeney, D., Williams, T., Camm, J. and Cochran, J., 2015.An Introduction To Management Science: quantitative approaches to decision making. Cengage Learning.

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