Introduction to Quantitative Methods
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<< Chapter 6
Linear Programming : Chapter 7
SUMMARY:
The emerging business scenario coupled with the tremendous growth in competition have necessitated all the production organizations, to allocate the scarce resources effectively among competing ends. Linear programming is an effective tool to deal with such allocation problems. The principles of linear programming were developed to meet the destructive purposes of World War II. However, the principles were later used by industries for constructive purposes. The techniques of linear programming simplify the otherwise complicated procedures of decision making.
The principles of linear programming are based on certain assumptions like proportionality, additivity, divisibility, and certainty. This chapter discussed the methods of formulating a real world problem as linear programming
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model. It also discussed the various methods of solving the linear programming problems and the other issues in the linear programming concepts.
Linear Programming - An Overview
Requirements of a Linear Programming Problem
Assumptions of Linear Programming Models
Proportionality
Additivity
Divisibility
Certainty
Formulating a Linear Programming Model
Identifying Decision Variables
Defining the Objective Function
Identifying the Relevant Constraints
Solving Linear Programming Problems
Graphical Method
Simplex Method
Issues in Linear Programming
Infeasible Solutions
Unbounded Solution
Redundancy
Multiple Solutions
Duality
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