Operational Research

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

Resources

Name	Author
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

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 - 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):

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

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

\text{Objetive function: }\text{Max }c^Tx \\ \text{Functional constraints: } Ax\le b\\ \text{Constraints: }x \ge 0

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

\text{Functional constraints: } Ax\le b\\ \text{Constraints: }x \ge 0

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

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