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Erciyes K Discrete Mathematics And Graph Theory 2021
This thoroughly revised and enlarged Central edition of the book which is not a new edition but a new book, is meant for the students of three year Degree, General, Honours, Postgraduate, Engineering students of all Indian Universities. However it can be used as a basic text-book by M.B.A. students as well. The chapters of the book have been rearranged thoroughly to make the development of the subject of Linear Programming and Game Theory more consistent and to solve the Linear Programming Problem (LPP) by simplex method the computations have been made in such a way as will definitely save both time and labour. So far, we have solved the LPP by algebraic method or by graphical method and the components of the optimal feasible solution's may be all integers or some of them be integers and the remaining components fractions or all of them may be fractions. But from the practical points of view, there are problems where the components of the optimal solution must be all non-negative integers or some of its components may be fractions. When the components of the optimal feasible solution are all non-negative integers, the problem is called a pure integer programming. Mathematical Background Motivation and Mathematical Formulation of Linear Programming Problems Slack and Surplus Variables Basie!Solutions of a Set of Simultaneous Une&I'. Equations N-Dimensional Euclidean Space and Convex Set Fundamental Properties of Simplex Method Graphical or Geometrical Method of Solving a L.P.P. Simplex Method or Simplex Algorithm (I) Simplex Method or Simplex Algorithm (II) Simplex Method or Simplex Algorithm (III) Resolution of Degeneracy Duality Theory Transportation, Assignment and Travelling Salesman Problems Revi8ed Simplex Algorithm Dual Simplex Method Sensitivity Analysis Parametric Programming Integer Programming Theory of Games Queuing (Deterministic and probabilistic) Models Development of the Simplex Theory Determination of the improved value of the objective function
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