Q1. Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research.
Operations Research Methodology
The basic dominant characteristic feature of operations research is that it employs mathematical representations or models to analyse problems. This distinct approach represents an adaptation of the scientific methodology used by the physical sciences. The scientific method translates a real given problem into a mathematical representation which is solved and retransformed into the original context. The OR approach to problem solving consists of the following steps: Defining the problem, Constructing the model, Solving the model, Validating the model and Implementing the final result.
Figure: Steps in the OR methodology
Definition
The first and the most important step in the OR approach of problem solving is to define the problem. You need to ensure that the problem is identified properly because this problem statement will indicate three major aspects.
Construction Based on the problem definition, you need to identify and select the most appropriate model to represent the system.
Solution After deciding on an appropriate model you need to develop a solution for the model and interpret the solution in the context of the given problem.
Validation You can test the validity of a model by comparing its performance with some past data available from the actual system.
Implementation You need to apply the optimal solution obtained from the model to the system and note the improvement in the performance of the system. You need to validate this performance check under changing conditions.
Operations Research Techniques and Tools
Linear programming: You can use linear programming to find a solution for optimising a given objective. The objective may be to maximise profit or