## Mathematical Methods of Operations ResearchThe first graduate-level text devoted to the subject, this classic offers a concise history and overview of methods as well as an excellent exposition of the mathematical foundations underlying classical operations research procedures. It begins with a review of historical, scientific, and mathematical aspects; examples and ideas related to classical methods of forming models introduce discussions of optimization, game theory, applications of probability, and queuing theory. Carefully selected exercises illustrate important and useful ideas. This text is an ideal introduction for students to the basic mathematics of operations research as well as a valuable source of references to early literature on operations research. 1959 edition. |

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### Contents

Operations ResearchHistory and Concepts | 1 |

Scientific MethodTruth Mathematics and LogicValidity | 19 |

Optimization | 99 |

Linear and Quadratic Programming | 165 |

The Theory of Games | 209 |

Some Optimization Problems | 228 |

Probability | 235 |

Some Applications | 275 |

Resume of Queueing Theory | 331 |

Some Probability and Statistics Problems | 375 |

Some Thoughts on Creativity | 381 |

Elementary Analytical Problems and Projects | 400 |

The Analytic Hierarchy Process | 415 |

451 | |

459 | |

Fundamental Statistics | 302 |

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analysis Analytic Hierarchy Process applied approximation arrivals assumed calculated coefficients column components condition constant constraints convex corresponding cost creative cumulative distribution function defined derivative desired determine differential equation eigenvector elements equal estimate Euler's equation example expected number exponential expression F T F factors finite function given gives hypothesis ideas illustrated input integral interval Journal large number Linear Inequalities Linear Programming Mathematical matrix maximize maximum means measurement method minimize minimum mixed strategy Monte Carlo Method nonnegative normal distribution Note obtained Operations Research Society optimization optimum parameters payoff matrix Poisson Poisson distribution possible priority probability queue queueing theory random variables respect sample satisfied scientific solution solving Statistical Stochastic Processes strategy theorem theory tion truth tables U.S. Air Force Unabridged republication variance vector waiting yields York zero