# Operational Research

Tags | BusinessComputer scienceMathScience |
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Created | |

Updated |

# Resources

#### The Canon

Name | Author |
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Principles of Operations Research with applications to managerial decicisions | Harvey M. Wagner |

Operations Research: Applications and Algorithms. | W. L. Winston |

Introduction to Management Science | B. W. Taylor III |

#### Complement

Name | Author |
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The OR Society | |

Untitled | |

Untitled |

## Others

- Advanced - Search Methodologies >> Search Methodologies. Introductory Tutorials in Optimization and Decision Support Techniques (2005), by E. K. Burke

- Advanced - Scheduling problems >> Scheduling: Theory, Algorithms, and Systems (2016), by M. Pinedo

- Advanced - Integer programming >> Integer Programming (2014), by M. Conforti

- Advanced - Nonlinear Programming >> Nonlinear Programming (2016), by D. P. Bertsekas

- Advanced - Supply Chain >> Management and Advanced Planning: Concepts, Models, Software and Case Studies (2014), by H. Stadtler

- Advanced - Data Analysis >> Guide to Intelligent Data Analysis: How to Intelligently Make Sense of Real Data (2010), By M. R. Berthold

- Advanced - Artificial Intelligence >> Artificial Intelligence a Modern Approach (AIMA) (2010), by S. J. Russell

Here are a few societies that I like (look at their blogs, magazines, and journals):

- The OR Society (The Operational Research Society);

- INFORMS (The Institute For Operations Research and The Management);

- CORMSIS (Centre for Operational Research, Management Science and Information Systems). It is one of the largest groups of OR/MS researchers in the UK.

# What is Operation Research (OR)?

What is O.R. >> http://www.theorsociety.com/Pages/Careers/WhatIsOR.aspx

https://www.youtube.com/watch?v=ILWbaWrjgU4

## What is a system?

# All of my exercises

https://github.com/sanchezcarlosjr/uabc/tree/main/essays/operations research

# Linear programming

## Terminology

**Linear programming**. Mathematical technique in which a linear function is maximized or minimized subject to linear constraints.

**Objective function. **Linear function to be maximized or minimized.

**The Standard Maximum Problem. **Find a $x=(x_1,...,x_n)^T$ such that

**Feasible set. **Set of $x=(x_1,...,x_n)$ such that checks the functional constraints and constraints.

**The Standard Maximum Feasible Set. **Set of $x=(x_1,...,x_n)$ such that

## References

[1] “LINEAR PROGRAMMING. A concise introduction” [Online]. Available: https://www.math.ucla.edu/~tom/LP.pdf.

## Lagrange method

https://ebrary.net/134819/mathematics/constrained_optimization_method_lagrange_multipliers

# Markov chains

## Ergodic Markov Chains

Ergodic. Involving or relating to the probability that any state will recur; especially: having zero probability that any state will never recur.

**: **involving or relating to the probability that any state will recur *especially***: **having zero probability that any state will never recur

## Stability

# Waiting Line (Queue) Management