मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता ११

The following table gives the characteristics of the project Activity 1 - 2 1 - 3 2 - 3 3 - 4 3 - 5 4 - 6 5 - 6 6 - 7 Duration(in days) 5 10 3 4 6 6 5 5 Draw the network for the project, - Business Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

The following table gives the characteristics of the project

Activity 1 - 2 1 - 3 2 - 3 3 - 4 3 - 5 4 - 6 5 - 6 6 - 7
Duration
(in days)
5 10 3 4 6 6 5 5

Draw the network for the project, calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and find the critical path. Compute the project duration.

बेरीज
Advertisements

उत्तर

E1 = 0

E2 = 0 + 5 = 5

E3 = (5 + 3) or (0 + 10)

Whichever is maximum

= 10

E4 = 10 + 4 = 14

E5 = 10 + 6 = 16

E6 = (14 + 6) or (16 + 5)

Whichever is maximum

= 21

E7 = 21 + 5 = 26

L7 = 26

L6 = 26 − 5 = 21

L5 = 21 − 5 = 16

L4 = 21 − 6 = 15

L3 = (15 − 4) or (16 − 6)

Whichever is minimum

= 10

L2 = 10 − 3 = 7

L1 = (7 − 5) or (10 − 10)

Whichever is minimum

L1 = 0

Activity Duration
tij
EST EFT = EST + tij LST = LFT – tij LFT
1 - 2 5 0 5 7 − 5 = 2 7
1 - 3 10 0 10 10 − 10 = 0 10
2 - 3 3 5 8 10 − 3 = 7 10
3 - 4 4 10 14 15 − 4 = 11 15
3 - 5 6 10 16 16 − 6 = 10 16
4 - 6 6 14 20 21 − 6 = 15 21
5 - 6 5 16 21 21 − 5 = 16 21
6 - 7 5 21 26 26 − 5 = 21 26

Since EFT and LFT values are same in 1 - 3, 3 - 5, 5 - 6 and 6 - 7.

Hence the critical path is 1 - 3 - 5 - 6 - 7 and the duration of time taken is 26 days.

shaalaa.com
Network Analysis
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Operations Research - Miscellaneous Problems [पृष्ठ २५२]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 10 Operations Research
Miscellaneous Problems | Q 10 | पृष्ठ २५२

संबंधित प्रश्‍न

Draw the event oriented network for the following data:

Events 1 2 3 4 5 6 7
Immediate Predecessors - 1 1 2, 3 3 4, 5 5, 6

A project schedule has the following characteristics

Activity 1 - 2 1 - 3 2 - 4 3 - 4 3 - 5 4 - 9 5 - 6 5 - 7 6 - 8 7 - 8 8 - 10 9 - 10
Time 4 1 1 1 6 5 4 8 1 2 5 7

Construct the network and calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and determine the Critical path of the project and duration to complete the project.


Draw the network and calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and determine the Critical path of the project and duration to complete the project.

Jobs 1 - 2 1 - 3 2 - 4 3 - 4 3 - 5 4 - 5 4 - 6 5 - 6
Duration 6 5 10 3 4 6 2 9

The following table gives the activities of a project and their duration in days

Activity 1 - 2 1 - 3 2 - 3 2 - 4 3 - 4 3 - 5 4 - 5
Duration 5 8 6 7 5 4 8

Construct the network and calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and determine the Critical path of the project and duration to complete the project.


Which of the following is not correct?


In the context of network, which of the following is not correct


In critical path analysis, the word CPM mean


Draw a network diagram for the following activities.

Activity code A B C D E F G H I J K
Predecessor activity - A A A B C C C, D E, F G, H I, J

Draw the network diagram for the following activities.

Activity code A B C D E F G
Predecessor activity - - A A B C D, E

A Project has the following time schedule

Activity 1 - 2 2 - 3 2 - 4 3 - 5 4 - 6 5 - 6
Duration
(in days)
6 8 4 9 2 7

Draw the network for the project, calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and find the critical path. Compute the project duration.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×