Resources

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

• Convex Optimization – Boyd and Vandenberghe

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.

• https://orc.mit.edu/

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

Optimization

https://fmin.xyz/

Linear programming

Gurobi, Lindo, and Cplex

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 systems and Queue theory

When you encounter systems displaying characteristics of waiting phenomena, like distributed systems and queues in real life, you often resort to applying queue theory. This approach entails evaluating and enhancing system performance by characterizing these phenomena through mathematical models and simulations.

More concretely, queue theory is used to model systems that exhibit concurrent access to a shared resource such as highway toll station, line at a restaurant, airport check, bandwidth, server, disk, memory,

Discrete-time Markov chains, Continuous-time Markov chains, Multi server and finite capacity queues.

Simulators

TODO

• Bayesian statistics: STAN.

• Impact analysis: IMPLAN, REMI, to name a few.

• DSGE: Dynare backed by GNU Octave.

• Agent-based modelling: NetLogo.

• Optimisation: GAMS.

• Legacy spreadsheet: Excel VBA.

• System modelling: Vensim and a whole lot of dynamic modelling software.

https://ccl.northwestern.edu/netlogo/