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# Operational Research

Tags BusinessComputer scienceMathScience @August 11, 2021 1:54 PM @April 19, 2022 7:15 PM

# Resources

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The OR Society
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## 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):

• 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

# 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 especiallyhaving zero probability that any state will never recur