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Operations Management - Network Problems

Construction Of Project Network Diagrams - Project Network

   Posted On :  23.06.2018 09:43 am

Construct the network diagram for a project with the following activities:

Construction Of Project Network Diagrams
 
 
Problem 1
 
 
Construct the network diagram for a project with the following activities:



Solution
 
 
The start event is node 1.
 
 
The activities A, B, C start from node 1 and none of them has a predecessor activity. A joins nodes1 and 2; B joins nodes 1 and 3; C joins nodes 1 and 4. So we get the following:



This is a part of the network diagram that is being constructed. Next, activity D has A as the predecessor activity. D joins nodes 2 and 5. So we get



Next, activity E has B as the predecessor activity. E joins nodes 3 and 6. So we get





Problem 2
 
 
Develop a network diagram for the project specified below:



Solution
 
 
Activity A has no predecessor activity. i.e., It is the first activity. Let us suppose that activity A takes the project from event 1 to event 2. Then we have the following representation for A:





G is the last activity.

Putting all the pieces together, we obtain the following diagram the project network:



The diagram is validated by referring to the given data.
 
Note: An important point may be observed for the above diagram. Consider the following parts in the diagram



We took nodes 6 and 6l as one and the same. Instead, we can retain them as different nodes. Then, in order to provide connectivity to the network, we join nodes 6l and 6 by a dummy activity. Then we arrive at the following diagram for the project network:



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