Using A Network Diagram To Minimize Cost

For which the network diagram is reproduced below. In the online pmp training its purpose is explained as visualizing the project activities in boxes with the activity ids and showing the interrelationship of activities with arrows network diagrams tell if an activity will start before after or at the same. Arcs minimize c j x j of course the solution must respect all of the constraints.

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If you work in it you will most likely use the arrow diagram depicted above.

Using a network diagram to minimize cost. The arrow diagram depicts nodes for events and arrows for activities. A and b each represents an event. Normal time n t. This will reduce the length duration of the critical path 1 3 5 7 8 9 11 by one week i e.

It is the lowest cost of completing an activity in the minimum time employing normal means i e not using overtime or other special resources. Networkdiagrams paint a clear picture of how varying tasks fit in to a project and their specific interdependencies. In actual practice we assume the time cost curve to be linear between crash point a and nor mal point b. Normal cost n c.

There are two types of network diagrams. From 24 weeks to 23 weeks. The term cost slope is defined as the in crease in the cost of the activity per unit decrease in the time. Network analysis cost time tradeoff.

Network diagrams help validate the time estimation for your project. Network diagrams are useful in project management in many ways. The curve has shown in fig. Flow conservation at the nodes and the upper and lower flow bounds on the arcs.

Some of the benefits of using network diagrams include. 29 5 shows that there is a change in cost for change in time. The arrow diagram and the precedence diagram. A network diagram not only allows a project manager to track each element of a project and quickly share its status with others but since research shows depicting data in a visual way can improve comprehension and enhance retention a network diagram can also boost performance and productivity while reducing stress among your team members.

Using the framework of project life cycle the course covers various aspects pertaining to i project initiation ii project planning and scheduling iii project monitoring and control and iv project termination. For planning and scheduling of projects the use of project network and estimation of time and cost are covered in detail. So in this case we would choose to crash activity 8 by one week at an additional cost of 20. Crash cost c o.

The following terms need to be explained before actually crashing the network. In the sequence activities process of project time management the major output is a network diagram but what is a network diagram. This allows for useful duration estimation. In a minimum cost network flow problem the objective is to find the values of the variables the x j that minimize the total cost of the flows over the network.

The precedence diagram depicts activities in the order they occur. It is the minimum time required to achieve the normal cost.