Critical Path Network Diagram & Probability Values (CPNDPV)

Case study

It is known that the software development activity table is.

| KEGIATAN |                                    | PENDAHULU | DURASI |
|----------|------------------------------------|-----------|--------|
| A        | Analisis sistem yang berjalan      | -         | 10     |
| B        | Studi kelayakan                    | A         | 12     |
| C        | Analisis kelemahan sistem yang ada | -         | 15     |
| D        | Analisis kebutuhan sistem          | C         | 5      |
| E        | Desain data                        | A         | 14     |
| F        | Desain user interface              | B, D      | 8      |
| G        | Desain proses                      | E         | 15     |
| H        | Instalasi program                  | F, G      | 10     |

Based on the table, then determine!

  1. Network diagram image
  2. Critical path diagram and table image
  3. The probability value, if the time limit is known (n) = 90 days and the estimated time table is as follows.
| KEGIATAN |                                    | PENDAHULU | DURASI |
|----------|------------------------------------|-----------|--------|
| A        | Analisis sistem yang berjalan      | -         | 10     |
| B        | Studi kelayakan                    | A         | 12     |
| C        | Analisis kelemahan sistem yang ada | -         | 15     |
| D        | Analisis kebutuhan sistem          | C         | 5      |
| E        | Desain data                        | A         | 14     |
| F        | Desain user interface              | B, D      | 8      |
| G        | Desain proses                      | E         | 15     |
| H        | Instalasi program                  | F, G      | 10     |

Completion

1 ]. Network Diagram

2 ]. a ]. Critical Path Diagram

2 ]. b ]. Critical Path Table

| Kegiatan | Mulai Terdahulu ES | Selesai Terdahulu EF | Mulai Terakhir LS | Selesai Terakhir LF | Slack LSES | Jalur Kritis |
|----------|--------------------|----------------------|-------------------|---------------------|---------------|--------------|
| A        | 0                  | 10                   | 5                 | 13                  | 5             | Tidak        |
| B        | 15                 | 27                   | 15                | 27                  | 0             | Ya           |
| C        | 10                 | 15                   | 10                | 15                  | 0             | Ya           |
| D        | 15                 | 27                   | 15                | 27                  | 0             | Ya           |
| E        | 10                 | 24                   | 13                | 27                  | 3             | Tidak        |
| F        | 27                 | 42                   | 27                | 42                  | 0             | Ya           |
| G        | 27                 | 42                   | 27                | 42                  | 0             | Ya           |
| H        | 42                 | 52                   | 42                | 52                  | 0             | Ya           |

3 ]. Probability

Estimated Time Table

| Kegiatan | Waktu Optimis (a) | Waktu Realistis (m) | Waktu Pesimis (h) | Waktu Yg Diharapkan t = (a+4m+b)/6 | Varians [(b – a) / 6]2 |
|----------|-------------------|---------------------|-------------------|------------------------------------|------------------------|
| A        | 0                 | 10                  | 5                 | 13                                 | 0,25                   |
| B        | 15                | 27                  | 15                | 27                                 | 0,11                   |
| C        | 10                | 15                  | 10                | 15                                 | 0,69                   |
| D        | 15                | 27                  | 15                | 27                                 | 0,25                   |
| E        | 10                | 24                  | 13                | 27                                 | 0,45                   |
| F        | 27                | 42                  | 27                | 42                                 | 0,25                   |
| G        | 27                | 42                  | 27                | 42                                 | 0,45                   |
| H        | 42                | 52                  | 42                | 52                                 | 0,25                   |

S2 = B variance + C variance + D variance + F variance + G variance + H variance
S2 = 0.11 + 0.69 + 0.25 + 0.25 + 0.45 + 0.25
S2 = 2
S = ? 2
S = 1.41

Z = (deadline -- completion time) / 1.41
Z = (90 -- 88.5) / 1.41
Z = 1.06
Z table = 0.3554

P = Z table + 0.5000
P = 0.3554 + 0.5000
P = 0.8554

So the probability of completing the project in 90 days is  0.8554


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