INTRODUCTION TO LINEAR PROGRAMMING

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What do you mean by general LPP?

  • Linear Programming is a mathematical technique for choosing the best alternative from a set of feasible alternatives, in situations where the objective function as well as the restrictions or constraints can be expressed as linear mathematical function.

Define Slack, Surplus variables

  • Slack Variable: If the constraints of a given LPP be S aij xj £ bi   then the non-negative variable Si which are introduced to convert the inequalities to equalities
                           S aij xj  + Si  =   bi      are called slack variables.

  • Surplus variable: If the constraints of a given LPP be S aij xj ³ bi    then the nonnegative variable Si which are introduced to convert the inequality  
                           constraints to the equations S aij xj  -  Si   =   bi   are called surplus variables.

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