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qt decision theory.
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Decision theory Decision-making means a process
which results in the selection from a set
of alternative courses of action, that
course of action which is regarded to
meet the objectives of the decision
problem more satisfactorily as compared
to others.
Process of decision making includes:
Defining the problem, Analysis of the
problem, Identification of alternatives,
Evaluation of alternatives, Decision
environment.
Terminology: Acts or alternatives- denoted by a1,a2,a3.
Events- denoted by e1,e2,e3.
Pay off-measures the net benefit to
decision maker, which results from a given
combination.
Pay-off table- various pay-off can be put in
a shape of table to form a pay off table.
Opportunity loss or regret-the difference
between pay off realized and the maximum
payoff which could have been realized if
another strategy was chosen.
SITUATIONS OF DECISION
MAKING
DECISION-MAKING
UNDER CERTAINTY DECISION-MAKING
UNDER
UNCERTAINTY
DECISION-MAKING
UNDER RISK
Decision making under
certainty: In decision making under certainty, the
decision maker knows with certainty the consequences of every alternative. The decision maker has to choose the alternative with the maximum pay-off in terms of utility under event which will occur. The main techniques used in it :
Liner programming
Input-output analysis
Inventory models
Goal programming
Break-even analysis etc.
Decision making under
uncertainty: The choice of a decision is very largely
based on company’s policy, experience and the judgment of the decision maker. The methods used in it are:
Maxi-max criterion: under this criterion it is assumed, the decision maker is optimistic. First the maximum outcome within every alternative is located and then the alternative with maximum pay-off is selected.
Maxi-min criterion: under this method it is assumed that the decision maker is pessimist and chooses the strategy which gives the highest minimum pay-off.
Contd.. Mini-max criterion: under this criterion the
decision maker would select the strategy in which the maximum regret is the lowest.
Coefficient of optimism criterion-Hurwicz criterion- under this criterion the decision maker’s degree of optimism is represented by α(alpha), the coefficient of optimism varying between 0 and 1.
Laplace criterion: under this criterion three steps are followed, assigning equal opportunity to each event, calculating the expected pay-offs, selecting the strategy with maximum expected pay-off.
Decision making under risk:
Under this condition, the decision maker faces several events and he cannot predict the outcome of an event. Under this the following decision criterions are used:
Expected monetary value criterion(EMV):under this criterion the decision maker chooses that strategy which has highest EMV.
Expected opportunity loss criterion(EOL): under this criterion the expected opportunity loss is minimized.
Expected value of perfect information(EVPI):under this it is assumed that the decision maker has authentic and perfect information available. EVPI=EPPI-EMV=MINIMUM EOL
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