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Consider the following project network and cost/time information. This project has a $100/day indirect cost. Draw the network, including all steps and critical paths. Create a table with detail for cycles; and crash the project for 6 days, i.e., total duration of project 24 days. Highlight the column with minimum total cost. Please explain how all conclusions were obtained.Duration (days) Cost ($)Activity IPA Normal Crash Normal CrashA - 7 5 500 640B A 6 5 550 630C A 8 5 800 935D B 10 7 1,200 1,440E B,C 6 4 600 700F C 4 3 500 590G D,F 4 2 700 1000H E,F 7 4 650 950I G,H 2 2 300 300Paths are:ABDGI 29ABEHI 28ACEHI 30ACFGI 25ACFHI 28

Respuesta :

SuchandraC

The minimum total cost for Normal duration is $4850, for crash C by 1 period if $4795, for crash A by 2 period is $4735, for crash C and B by 1 period if $4760, for crash C and D by 1 period is $4785 and crash D and  E by 1 period is $4815.

For activity A,B,C,D,E,F,G,H and I

The normal duration are 7,6,8,10,6,4,4,7 and 2 respectively

The crashed duration are 5,5,5,7,4,3,2,4 and 2 respectively.

The normal cost are $500, $550, $800, $1,200, $600, $500, $700, $650 and $300 respectively

The crashing cost are $640, $630, $935, $1,400, $700, $590, $1000, $950 and $300 respectively

The time available for crashing = normal duration - crashed duration.

Thus for each A,B,C,D,E,F,G,H and I, are 2,1, 3,3,2,1,2,3 and 0 respectively.

The cost of crashing per period= (Crashing cost-normal cost)/ periods available for crashing.

Thus for each it is $70, $80, $45, $80, $50, $90, $150, $100 and none

Steps for crashing a project

1) Select the critical path and find the process with the least cost of crashing per week

2) If there are multiple critical paths, look for processes that are common, common process may have low effective cost as common process crashes more than 1 path at once

3) one can only crash an activity depending on the time available for crashing. If an activity is only crashed that much time, choose another activity.

4) add the cost of crashing later

Crashing

For path, ABDG1- The normal duration is 29, crash C by 1 period is 29, crash A by 2 period is 27, crash  C and B by 1 period is 26, crash C and D by 1 period is 25, crash D and E by 1 period is 24

For path, ABEHI- The normal duration is 28, crash C by 1 period is 28, crash A by 2 period is 26, crash  C and B by 1 period is 25, crash C and D by 1 period is 25, crash D and E by 1 period is 24

For path, ACEHI- The normal duration is 30, crash C by 1 period is 29, crash A by 2 period is 27, crash  C and B by 1 period is 26, crash C and D by 1 period is 25, crash D and E by 1 period is 24

For path, ACFGI- The normal duration is 25, crash C by 1 period is 24, crash A by 2 period is 22, crash  C and B by 1 period is 21, crash C and D by 1 period is 20, crash D and E by 1 period is 20

For path, ACFH1- The normal duration is 29, crash C by 1 period is 29, crash A by 2 period is 27, crash  C and B by 1 period is 26, crash C and D by 1 period is 25, crash D and E by 1 period is 24

For path, ABDG1- The normal duration is 28, crash C by 1 period is 27, crash A by 2 period is 25, crash  C and B by 1 period is 24, crash C and D by 1 period is 23, crash D and E by 1 period is 23

The cost for Normal duration is $4850, for crash C by 1 peiord if $45, for crash A by 2 period is $140, for crash C and B by 1 period if $125, for crash C and D by 1 period is $125 and crash D and  E by 1 period is $130.

The minimum total cost is

$4850, 4795, 4735, 4760, 4785 and 4815 respectively.

     

     

     

     

     

     

     

     

   

     

     

     

     

     

     

     

     

     

     

     

     

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