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Operational Research

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Resources

Complement

NameAuthor
The OR Society
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Papers

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Others

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

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=(x1,...,xn)Tx=(x_1,...,x_n)^TÔĽŅ such that

Objetive¬†function:¬†Max¬†cTxFunctional¬†constraints:¬†Ax‚ȧbConstraints:¬†x‚Č•0\text{Objetive function: }\text{Max }c^Tx \\ \text{Functional constraints: } Ax\le b\\ \text{Constraints: }x \ge 0

Feasible set. Set of x=(x1,...,xn)x=(x_1,...,x_n)ÔĽŅ such that checks the functional constraints and constraints.

The Standard Maximum Feasible Set. Set of x=(x1,...,xn)x=(x_1,...,x_n)ÔĽŅ such that

Functional¬†constraints:¬†Ax‚ȧbConstraints:¬†x‚Č•0\text{Functional constraints: } Ax\le b\\ \text{Constraints: }x \ge 0

References

[1] ‚ÄúLINEAR PROGRAMMING. A concise introduction‚ÄĚ [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