Introduction to Operation Research

Operations Research models have been implemented like linear programming formulation and graphical solution with solved examples. Simplex method-Artificial variable techniques Two-phase method Big-M method are study with problems useful for industrial applications. On other hand transportation and assignment problem with balanced and unbalanced . </br> </br> Introduction to Flow-Shop sequencing- n jobs through two machines – n jobs through three machines- Job shop sequencing-two jobs through ‘m’ machines are emphasis with practices problems. </br> </br> Replacement of items that deteriorate with time- when money value is not counted and counted- Replacement of items that fail completely- Group and individual Replacement theory and derivations were high lighted in the context. </br> </br> Theory of Games terminology with solution of games with saddle points and without saddle points. 2 x 2 games- dominance principle- m x 2 & 2 x n games with help of graphical method was discussed in detailed. </br> </br> Inventory introduction with single item Deterministic models- purchase inventory models with one price break and multiple price breaks- Stochastic models _ Demand may be discrete variable or continuous variable- single period model and no setup cost were presented with user friendly problems. </br> </br> Waiting lines terminology- Single channel- Poisson arrivals and Exponential service times with infinite population were executed with modern empirical equations. Dynamic Programming terminology Bellman’s principle of optimality- Applications of Dynamic programming- shortest path problem- linear programming problem. Moreover the forward and backward recursive methods were used in solving the problems.