Introduction
of Decision Tree
The
aim of this paper is to provide deep insights regarding the decision tree
approach and how decision tree helps the management of the organization to take
right decision. In the paper the whole process of making a decision tree is
described. The decision tree approach is adopted in the response of the
situation which is experienced by the operational manager of cereal producer. Through creating the decision tree, the
operation manager will have enough information regarding which option should be
selected and how that option will create profit for the organization. Below
is the complete process of developing a decision tree in detail.
Process of developing a decision tree
The
operation manager of the cereal producer has three options to choose from,
which include a large scale investment, a small scale project, and continue
operation with no change. In order to take the best project the operation
manager has decided to utilize the decision tree approach. A decision tree is a
decision support instrument that helps the manager of the organization to make
the right decision. The decision tree approach includes various steps which are
explained in detail as follows:
1. Drawing decision tree that represents
investment options to the operation manager
The
first phase of the design tree development process is to begin tree by creating
the decision point and node. It means that the tree begins with a square. As
there are three options available to the operation manager, three lines will be
radiating from the square that will represent three options that are available
to the manager (Mittal, Khanduja, & Tewari, 2017). The first can be
easily understood from the following figure which represents decision options.
2. Adding Chance Nodes, Probability
& Outcomes
The
second phase of the decision tree is to add chance nodes. In the decision tree,
the options have different outcomes. So the option will end with outcome. This
is marked by creating circle. The operation manager has two outcomes for the
investment options, whereas the third option of no change as no outcome, so its
outcome will not be shown in the decision tree (Mittal, Khanduja, & Tewari, 2017). The below figure is
showing the decision tree with options & their respective probabilities.
3. Evaluating the expected values
of Decision Tree
The
third step in the decision tree making process is evaluating the expected
values of the options. At the right side of the decision tree, the expected values
are calculated by multiplying the probability of the options with the outcome
of the option. After this the answers should be added for every option. The
answers should be mentioned in the appropriate circle in the decision tree (SONG & LU, 2015). The figure below is
showing the decision trees diagram with returns and outcomes.
4. Evaluating the Net Expected Value
of Decision Tree
The
last step of the decision tree process is to find out the net expected value of
the options or the actual costs of the options. The initial investor, the cost
of each option, is subtracted from the expected value of each option. After
subtracting the cost calculations are presented on the decision tree. Those
options will be rejected which have lower net expected value and that option
will be selected which has the highest net expected value. The decision
regarding the option is taken on the basis of net expected value of the option (SONG & LU, 2015). The below figure is
showing a complete decision tree diagram.
Final Decision for Operation Manager
of Decision Tree
If
the complete decision tree is analyzed critically than it can be seen that the
large scale investment have the net expected value of 1,800,000 Saudi Riyal
which is higher than the net expected value of small scale project that is 5,62,500
Saudi Riyal. Therefore it is advised to the operational manager to select large
scale investment because it has a higher net expected value than the small
scale project. The small scale project and continue without change options
should be rejected, and large scale investment should be perused because this
decision will be more profitable than other decisions (Mittal, Khanduja, & Tewari, 2017).
References of
Decision Tree
Mittal, K., Khanduja, D., & Tewari, P. C. (2017).
An Insight into “Decision Tree Analysis.” World Wide Journal of
Multidisciplinary Research and Development, 3(12), 111-115.
SONG, Y.-y., & LU, Y. (2015). Decision tree methods:
applications for classification and prediction. 27(2), 130–135.