## Operations Research Calculations HandbookThe field of Operations Research (OR) covers a wide range of mathematical topics. Because it is so broad, results and formulas relevant to the field are widely scattered in different texts and journals and can be hard to find. As the field continues to grow, OR practitioners and students need a convenient, one-stop source for the results relevant to their work. The Operations Research Calculations Handbook meets that need. It contains more than 300 results in a single, concise volume. Organized by topic and listed in a convenient summary format, it allows readers to have frequently used results at their fingertips. Although based on the author's experience in the manufacturing industry, many of the results are basic to system modeling. They carry over easily to applications in other areas of operations research and management science. While modern software packages are useful for obtaining numerical results, formulas continue to play a significant role in systems modeling. They allow one to draw general conclusions about system behavior, reveal the underlying system model, and help provide an understanding of system performance. Whether you are a student, professor, or seasoned professional, the Operations Research Calculations Handbook offers not only a handy reference that will save time, but also a tool that will help build the intuitive understanding you need to apply systems models with confidence. |

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### Contents

Chapter 1 Introduction | 1 |

Chapter 2 Means and Variances | 3 |

Chapter 3 Discrete Probability Distributions | 15 |

Chapter 4 Continuous Probability Distributions | 29 |

Chapter 5 Probability Relationships | 57 |

Chapter 6 Stochastic Processes | 73 |

Chapter 7 Queueing Theory Results | 79 |

Chapter 8 Production Systems Modeling | 91 |

Chapter 12 Mathematical Functions | 151 |

Chaper 13 Calculus Results | 155 |

Chapter 14 Matrices | 173 |

Chapter 15 Combinatorics | 177 |

Chapter 16 Summations | 179 |

Chapter 17 Interest Formulas | 181 |

183 | |

191 | |

Chapter 9 Inventory Control | 99 |

Chapter 10 Distance Formulas for Logistics Analysis | 123 |

Chapter 11 Linear Programming Formulations | 131 |

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### Common terms and phrases

approximation Bernoulli distribution beta distribution Binmore Boes constant constraints cumulative distribution function denotes density function f(x destination distributed random variables distribution are given distribution function F(x distribution if f(x DISTRIBUTION Let EPQ model Erlang distribution exponential distribution Figure formulas gamma distribution geometric distribution given by E[X given by Equation Graybill Gumbel distribution Hillier and Lieberman Hoel Hopp and Spearman independent random variables integer linear programming interval items per unit jobs per unit linear programming problem mean and variance mean E[X Mood negative binomial distribution number of customers number of items number of jobs optimal order is placed order quantity order-up-to level ordering cost Poisson distribution positive integer Pr(X Pr{X probability density function probability distribution quantity Q reorder point replenishment review period service level factor Simpson’s rule station throughput transportation problem variables X1 variance Var[X VarX Weibull distribution σ σ

### Popular passages

Page 186 - C. and Candea, D. (1984). Production and Inventory Management.