## Introductory Operation ResearchThis book on Operation Research has been specially written to meet the requirements of the M.Sc., M.Com and M.B.A. students. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and fairly large number of solved examples, sufficient problems have also been selected from various universities examination papers. Contents: Introduction to Operation Research, Integer Programming, Dual Problem, Goal Programming, Sequencing Problem. |

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### Contents

Introduction to Operation Research | 1 |

Integer Programming | 47 |

Programming Problem Gomorys all Integer Cutting Plane | 56 |

Dual Problem | 99 |

Coal Programming | 219 |

Sequencing Problem | 251 |

### Common terms and phrases

achieved algorithm assignment problem basic variables Branch and Bound CB WB coefficients constraints corresponding cost cutting plane decision problem decision variables decision-maker deviational variables dual problem dual variables equation Example feasible solution finite optimal solution Formulate and solve given L.P.P. given problem goal programming Gomory's idle incoming vector integer linear programming integer LP problem integer programming problem integer solution integer values linear programming problem machine mathematical model matrix Max ZD maximization Maximize Z maximum Mini minimize the total minimum elapsed non-integer non-negative objective function obtained operation research models optimal sequence optimum overtime primal problem priority processing production sequencing problem shadow price simplex method slack variable standard primal form Step subject to 2x surplus variables Table Cj Theorem total elapsed unbounded solution unrestricted in sign Write the dual written as Max zero