Task No. Task Name Task Duration(Days) Immediate Predecessor task 1 Preliminary system description 40 — 2 Develop specifications 100 1 3 Client approval 50 2 4 Develop input-output summary 60 2 5 Develop alarm list 40 4 6 Develop log formats 40 3, 5 7 Software definition 35 3 8 Hardware requirements 35 3 9 Finalize input-output summary 60 5, 6 10 Analysis performance calculations 70 9 11 Automatic turbine startup analysis 65 9 12 Boiler guides analysis 30 9 13 Fabricate and ship 200 10, 11, 12 14 Software preparation 80 7, 10, 11 15 Install and check 130 13, 14 16 Termination and wiring lists 30 9 17 Schematic wiring lists 60 16 18 Pulling terminals and cables 60 15, 17 19 Operational test 125 18 20 First firing 1 19 Therefore, Critical Path = 1-2-4-5-6-9-10-13-15-18-19-20 Note: tj is the original duration of task j; dj is the minimum duration of task j. Expediting Costs ($1,000) and Limits Task no. current tj min dj cost to decrease tj by X days 2 100 70 1.5x^1.8 6 40 20 2x^2.0 7 35 20 1.x^2.0 10 70 40 1.8x^1.9 14 80 60 1.9x^1.6 15 130 120 0.95x^2.7 19 125 80 0.9x^2.9 Expediting tasks can be profitable and necessary to meet deadlines, although employees do not really like it. Task completion quality is a function of the task completion time, and we would like to have a high quality. This may conflict with our objective of maximizing profit. Because quality affects future revenues, it is difficult to estimate the dollar impact of poor quality. If tj is the original duration of task j and Xj is the expedited duration time for task , then quality, measured on a scale of 0–100 (with 100 being the best), can be represented by the function 100 − min [100,(tj − xj)^2.2] This is only the quality for a task. It is unclear how one might quantify the quality of the project. How are you measuring system quality, and how does your recommendation measure up relative to that objective?
Task No. | Task Name | Task Duration(Days) | Immediate Predecessor task |
1 | Preliminary system description | 40 | — |
2 | Develop specifications | 100 | 1 |
3 | Client approval | 50 | 2 |
4 | Develop input-output summary | 60 | 2 |
5 | Develop alarm list | 40 | 4 |
6 | Develop log formats | 40 | 3, 5 |
7 | Software definition | 35 | 3 |
8 | Hardware requirements | 35 | 3 |
9 | Finalize input-output summary | 60 | 5, 6 |
10 | Analysis performance calculations | 70 | 9 |
11 | Automatic turbine startup analysis | 65 | 9 |
12 | Boiler guides analysis | 30 | 9 |
13 | Fabricate and ship | 200 | 10, 11, 12 |
14 | Software preparation | 80 | 7, 10, 11 |
15 | Install and check | 130 | 13, 14 |
16 | Termination and wiring lists | 30 | 9 |
17 | Schematic wiring lists | 60 | 16 |
18 | Pulling terminals and cables | 60 | 15, 17 |
19 | Operational test | 125 | 18 |
20 | First firing | 1 | 19 |
Therefore, Critical Path = 1-2-4-5-6-9-10-13-15-18-19-20
Note: tj is the original duration of task j; dj is the minimum duration of task j.
Expediting Costs ($1,000) and Limits
Task no. | current tj | min dj | cost to decrease tj by X days |
2 | 100 | 70 | 1.5x^1.8 |
6 | 40 | 20 | 2x^2.0 |
7 | 35 | 20 | 1.x^2.0 |
10 | 70 | 40 | 1.8x^1.9 |
14 |
80 | 60 | 1.9x^1.6 |
15 |
130 | 120 | 0.95x^2.7 |
19 |
125 | 80 | 0.9x^2.9 |
Expediting tasks can be profitable and necessary to meet deadlines, although employees do not really like it. Task completion quality is a function of the task completion time, and we would like to have a high quality. This may conflict with our objective of maximizing profit. Because quality affects future revenues, it is difficult to estimate the dollar impact of poor quality. If tj is the original duration of task j and Xj is the expedited duration time for task , then quality, measured on a scale of 0–100 (with 100 being the best), can be represented by the function 100 − min [100,(tj − xj)^2.2] This is only the quality for a task. It is unclear how one might quantify the quality of the project.
- How are you measuring system quality, and how does your recommendation measure up relative to that objective?
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