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techniques of operation_research with Example

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MB0032
OPERATION RESEARCH
(Assignment 1)
Q1. Explain the different phases used in O.R study?
Ans. Operations research is the use of scientific, method to
provide criteria for decisions regarding man, machine
systems involving repetitive operations.
The scientific method in OR study generally
involves the following three phases:
1. Judgment Phase: - This phase consists of:-
a) Determination of the operation.
b) Establishment of the objectives and values
related to the operation.
c) Determination of the suitable measures of effectiveness
and
d) Formulation of the problems relative to the objectives.
2. Research Phase: - This phase utilizes: -
a) Operations and data collection for a better
understanding of the problems.
b) Formulations of hypothesis and model.
c) Observation and experimentation to test the
hypothesis on the basis of additional data.
d) Analysis of the available information and verification
of the hypothesis using pre-established measure of
effectiveness.
3. Action Phase: - It consist of making recommendations
for the decision process by those who first posed the
problem for considerations, influencing the operation in
which the problem is occurred.

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Q2. Solve the L.P.P
Maximize Z = 50x1+80x2
Subject to constraints
1.0x1+1.5x2 < 600
0.2x1+0.2x2 < 100
0.1x1 < 30
x1 > 0 , x2 > 0 by graphical method
Ans. Solving these equations through linear equation:
eq i) 1.0x1 + 1.5x2 = 600
considering x2 = 0, then ,
1.0x1 + 1.5*0 = 600
1.0x1 = 600
x1 = 600/1
x1 = 600
now consider x1 = 0, then,
1.0*0 + 1.5x2 = 600
1.5x2 = 600
x2 = 600/1.5
x2 = 40
Therefore x1 = 600 & x2 = 400 in equation (i).
eq ii) 0.2x1 + 0.2x2 = 100
considering x2 = 0 then,
0.2x1 + 0.2*0 = 100
0.2x1 = 100
x1 = 100/0.2
x1 = 500
now consider x1 = 0, then,
0.2*0 + 0.2x2 = 100
0.2x2 = 100
x2 = 100/0.2
x2 = 500
Therefore x1 = 500 & x2 = 500 in equation (ii).

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MB0032 OPERATION RESEARCH (Assignment 1) Q1. Explain the different phases used in O.R study? Ans. Operations research is the use of scientific, method to provide criteria for decisions regarding man, machine systems involving repetitive operations. The scientific method in OR study generally involves the following three phases: 1. Judgment Phase: - This phase consists of:- a) Determination of the operation. b) Establishment of the objectives and values related to the operation. c) Determination of the suitable measures of effectiveness and d) Formulation of the problems relative to the objectives. 2. Research Phase: - This phase utilizes: - a) Operations and data collection for a better understanding of the problems. b) Formulations of hypothesis and model. c) Observation and experimentation to test the hypothesis on the basis of additional data. d) Analysis of the available information and verification of the hypothesis using pre-established measure of effectiveness. 3. Action Phase: - It consist of making recommendations for the decision process by those who first posed the problem for considerations, influencing the operation in which the problem is occurred. Q2. Solve the L.P.P Maximize Z = 50x1+80x2 Subject to constraints 1.0x1+1.5x2 < 600 0.2x1+0.2x2 < 100 0.1x1 < 30 x1 > 0 , x2 > 0 by graphic ...
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