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NETWORKS, PERT AND CPM EXERCISE SOLUTION, Summaries of Computer Networks

University of Cebu (UC)Computer Networks

This document summarizes the answers to the exercise so that students can evaluate their work by comparing their answers to the ones in this document. 1. Gantt ...

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NETWORKS, PERT AND CPM EXERCISE SOLUTION
DESCRIPTION
This document summarizes the answers to the exercise so that students can evaluate their work by comparing their answers to the ones in
this document.
1. Gantt diagram (notice that there are no dependencies shown on a Gantt diagram)
PERT, CPM EXERCISE
Start
Producer s asoci ation or ganiz ation
70 d ays
Histori cal featur es develo pmen t
33 d ays
To hi re ex peditor
30 d ays
Twenty ben eficiari es iden tification
40 d ays
Producer s asoci ation fo rmal ization
51 d ays
Cultural features develop ment
33 d ays
Techni cal no rm p ropo sal dev elopm ent
38 d ays
Techni cal no rm p ropos al app roval
Ten ben efici aries d iagnosis
40 d ays
Techin ical assi stance to five ben eficiari es
70 d ays
Jo inin g of five entrep reneur s with ex por ters
35 d ays
Ten ben efici aries d iagnosis
40 d ays
Techin ical assi stance to five ben eficiari es
70 d ays
Jo inin g of five entrep reneur s with ex por ters
35 d ays
03 04 05 06 07 08 09 10 11 12 01 02 03 04 05 06
Q1 / 201 Q2 / 2013 Q3 / 2013 Q4 / 2013 Q1 / 2014 Q2 / 2014
0PERT, CPM EXERCISE 01/07/ 13 03/ 06/ 14
1Start 01/ 07/ 13 01/ 07/ 13
2Producer s asociatio n org aniz ation 70 days 01/07/ 13 04/ 10/ 13
3Histori cal featur es develo pment 33 days 01/07/ 13 14/ 08/ 13
4To h ire ex peditor 30 days 01/07/ 13 09/ 08/ 13
5Twenty b eneficiari es iden tification 40 days 01/07/ 13 23/ 08/ 13
6Producer s asociatio n fo rmali zation 5 1 days 16/ 10/ 13 25/ 12/ 13
7Cultural features develop ment 33 days 16/08/ 13 01/ 10/ 13
8Techni cal no rm p ropos al devel opmen t 3 8 days 01/ 01/ 14 21/ 02/ 14
9Techni cal no rm p ropos al appr oval 54 days 03/ 03/ 14 15/ 05/ 14
10 Ten b enefici aries d iagnosis 40 days 02/ 09/ 13 25/ 10/ 13
11 Techin ical assi stance to five ben eficiaries 70 days 01/ 11/ 13 06/ 02/ 14
12 Jo ini ng of five entrep reneur s with ex porters 35 days 17/02/ 14 04/ 04/ 14
13 Ten b enefici aries d iagnosis 40 days 01/ 11/ 13 26/ 12/ 13
14 Techin ical assi stance to five ben eficiaries 70 days 01/ 01/ 14 08/ 04/ 14
15 Jo ini ng of five entrep reneur s with ex porters 35 days 16/04/ 14 03/ 06/ 14
Ex pected En dEx pected StartGiven Plann ed
Duration
Title#
pf3
pf4
pf5

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NETWORKS, PERT AND CPM EXERCISE SOLUTION

DESCRIPTION

This document summarizes the answers to the exercise so that students can evaluate their work by comparing their answers to the ones in

this document.

1. Gantt diagram (notice that there are no dependencies shown on a Gantt diagram)

PERT, CPM EXERCISE Start Producers asociation organization 70 days Historical features developm ent 33 days To hire ex peditor 30 days Twenty benefi ciaries identifi cation 40 days Producers asociation form alization 51 days Cultural features development 33 days Tech nical n orm proposal developm ent 38 days Technical n orm proposal approv al 54 days Ten benefi ciaries diag nosis 40 days Techinical assistance to fi ve benefi ciaries 70 days Joining of fi ve entrepreneurs with ex porters 35 days Ten benefi ciaries diag nosis 40 days Techinical assistance to fi ve benefi ciaries 70 days Joining of fi ve entrepreneurs with ex porters 35 days 03 04 05 06 07 08 09 10 11 12 01 02 03 04 05 06 Q1 / 201 Q2 / 2013 Q3 / 2013 Q4 / 2013 Q1 / 2014 Q2 / 2014 0 PERT, CPM EXERCISE 01/ 07/ 13 03/ 06/ 14 1 Start 01/ 07/ 13 01/ 07/ 13 2 Producers asociation organization 70 days 01/ 07/ 13 04/ 10/ 13 3 Historical features developm ent 33 days 01/ 07/ 13 14/ 08/ 13 4 To hire ex peditor 30 days 01/ 07/ 13 09/ 08/ 13 5 Twenty benefi ciaries identifi cation 40 days 01/ 07/ 13 23/ 08/ 13 6 Producers asociation form alization 51 days 16/ 10/ 13 25/ 12/ 13 7 Cultural features developm ent 33 days 16/ 08/ 13 01/ 10/ 13 8 Technical norm proposal developm ent 38 days 01/ 01/ 14 21/ 02/ 14 9 Technical norm proposal approval 54 days 03/ 03/ 14 15/ 05/ 14 10 Ten benefi ciaries diag nosis 40 days 02/ 09/ 13 25/ 10/ 13 11 Techinical assistance to fi ve benefi ciaries 70 days 01/ 11/ 13 06/ 02/ 14 12 Joining of fi ve entrepreneurs with ex porters 35 days 17/ 02/ 14 04/ 04/ 14 13 Ten benefi ciaries diag nosis 40 days 01/ 11/ 13 26/ 12/ 13 14 Techinical assistance to fi ve benefi ciaries 70 days 01/ 01/ 14 08/ 04/ 14 15 Joining of fi ve entrepreneurs with ex porters 35 days 16/ 04/ 14 03/ 06/ 14 Given Planned Ex pected Start Ex pected End Duration

Title

2. In the following table, the three-point estimating technique is used to calculate the expected duration (tE) for each activity as tE =

(tO + 4tM + tP) / 6.

ID Description Predecesor Optimistic duration Most likely duration Pesimistic duration Expected duration 1 Start NA 0 0 0 0 2 Producers asociation organization 1 59 70 93 72 3 Historical features development 1 22 33 56 35 4 To hire expeditor 1 22 30 50 32 5 Twenty beneficiaries identification 1 31 40 61 42 6 Producers asociation formalization 2 30 51 90 54 7 Cultural features development 3 22 33 56 35 8 Technical norm proposal development 6 , 7 25 38 51 38 9 Technical norm proposal approval 8 36 54 102 59 10 Ten beneficiaries diagnosis 4 , 5 25 40 55 40 11 Techinical assistance to five beneficiaries 10 59 70 93 72 12 Joining of five entrepreneurs with exporters 11 25 35 45 35 13 Ten beneficiaries diagnosis 10 25 40 55 40 14 Techinical assistance to five beneficiaries 13 59 70 93 72 15 Joining of five entrepreneurs with exporters 14 25 35 45 35

4 - Critical path (shown in red and calculated based on the pass forward and backward in order to determine float (F)

Start (0) Producers association organization (72) Historical features development (35) To hire expeditor (32) Twenty beneficiaries identification (42) Producers association formalization (54) Cultural features development (35) Technical norm proposal development (38) Technical norm proposal approval (59) Ten beneficiaries diagnosis (40) Technical assistance to five beneficiaries (72) Joining of five entrepreneurs with exporters (35) Ten beneficiaries diagnosis (40) Technical assistance to five beneficiaries (72) Joining of five entrepreneurs with exporters (35) End (0)

F:6 F: F:6 F: F: F: F: F: F: F: F:0 F:0 F: F: F:

5 – Critical path duration with a probability of 84%

Once the critical path is identified (see Section 4), the variance is calculated using the formula, σ 2 = ((tP - tO) / 6)^2 for each activity on the critical

path.

Once the variances for each critical path activity are calculated, they are added up to obtain the critical path variance and finally the standard

deviation is calculated using the formula, σ = σ^2.

To calculate the 84% probability, we just need to add one standard deviation to the critical path duration (229 days + 10.87 days = 239.

days).

ID Description Predecesor Optimistic duration Most likely duration Pesimistic duration Expected duration Variance 1 Start NA 0 0 0 0 0 , 00 2 Producers asociation organization 1 59 70 93 72 32 , 11 3 Historical features development 1 22 33 56 35 32 , 11 4 To hire expeditor 1 22 30 50 32 21 , 78 5 Twenty beneficiaries identification 1 31 40 61 42 25 , 00 6 Producers asociation formalization 2 30 51 90 54 100 , 00 7 Cultural features development 3 22 33 56 35 32 , 11 8 Technical norm proposal development 6 , 7 25 38 51 38 18 , 78 9 Technical norm proposal approval 8 36 54 102 59 121 , 00 10 Ten beneficiaries diagnosis 4 , 5 25 40 55 40 25 , 00 11 Technical assistance to five beneficiaries 10 59 70 93 72 32 , 11 12 Joining of five entrepreneurs with exporters 11 25 35 45 35 11 , 11 13 Ten beneficiaries diagnosis 10 25 40 55 40 25 , 00 14 Technical assistance to five beneficiaries 13 59 70 93 72 32 , 11 15 Joining of five entrepreneurs with exporters 14 25 35 45 35 11 , 11 Critical path variance 118 , 22 Critical path standard deviation 10 , 87