The OR Resource Index

Operations Research: Applications and Algorithms

Wayne Winston. Applied OR text with many modeling examples.

Operations Research: An Introduction

Hamdy Taha. Accessible survey of optimization, networks, IP, DP, queues, simulation.

Operations Research: Models and Methods

Jensen & Bard. Modeling-oriented OR reference.

Advanced#convex#optimization

Convex Optimization

Boyd & Vandenberghe. The standard open text for convex optimization.

Introduction to Linear Optimization

Bertsimas & Tsitsiklis. Rigorous introduction to LP and network flows.

Integer and Combinatorial Optimization

Nemhauser & Wolsey. Foundational IP reference.

Integer Programming

Wolsey. Compact reference for integer programming.

Numerical Optimization

Nocedal & Wright. Standard reference for continuous optimization.

Lectures on Modern Convex Optimization

Ben-Tal & Nemirovski. Conic and robust optimization perspective.

Introduction to Probability Models

Sheldon Ross. Probability, Markov chains, Poisson, queues, reliability.

Fundamentals of Queueing Theory

Gross, Shortle, Thompson & Harris. Queueing reference for service systems.

Simulation Modeling and Analysis

Averill Law. Discrete-event simulation methodology.

Dynamic Programming and Optimal Control

Bertsekas. DP, approximate DP, optimal control.

The Theory and Practice of Revenue Management

Talluri & van Ryzin. Revenue management models and applications.

Pricing and Revenue Optimization

Robert Phillips. Applied pricing and revenue optimization.

Network Flows

Ahuja, Magnanti, Orlin. Network optimization algorithms and applications.

Scheduling: Theory, Algorithms, and Systems

Pinedo. Scheduling models and methods.

Foundations of Inventory Management

Zipkin. Inventory models and policies.

Algorithms for Decision Making

Kochenderfer et al. Open book on planning, uncertainty, and decision algorithms.

Approximation Algorithms

Williamson & Shmoys. Open book on approximation algorithms.

Beginner#least squares#linear algebra

Vector, Matrix, and Least Squares

Boyd & Vandenberghe. Open text on applied linear algebra and least squares.

MOSEK Modeling Cookbook

Practical modeling guide for linear, conic, quadratic, and semidefinite optimization.

Advanced#conic#QP#SDP

Advanced#stochastic programming

Lectures on Stochastic Programming

Shapiro, Dentcheva, and Ruszczynski. Modeling and theory for stochastic programming.

Advanced#robust optimization

Robust Optimization

Bertsimas, Brown, and Caramanis survey of robust optimization.

Intermediate#DEA#efficiency

Data Envelopment Analysis

Cooper, Seiford, and Zhu. DEA models and applications.

Intermediate#facility location

Facility Location: Applications and Theory

Facility location models and applications.

Intermediate#risk#simulation

Risk Analysis: A Quantitative Guide

Vose. Quantitative guide to risk analysis and uncertainty modeling.

Behavioral Operational Research

Text on human behavior, judgment, and intervention design in OR practice.

Advanced#behavioral OR

Advanced#complementarity#equilibrium

Linear Complementarity, Linear and Nonlinear Programming

Murty. Internet edition on complementarity and related optimization models.

Intermediate#manufacturing#production

Factory Physics

Manufacturing systems, bottlenecks, variability, flow, and operations principles.

Essentials of Metaheuristics

Open text on metaheuristic search methods.

Advanced#metaheuristics

Courses & Lecture Notes

23 items

MIT 15.053 Optimization Methods in Management Science

Introductory optimization with LP, networks, IP, NLP.

MIT 15.093J Optimization Methods

Graduate-level optimization methods and applications.

MIT 6.231 Dynamic Programming and Stochastic Control

DP and stochastic control.

MIT 6.262 Discrete Stochastic Processes

Probability, Markov chains, stochastic processes.

Stanford EE364A Convex Optimization

Convex optimization lectures and assignments.

Stanford EE364B Convex Optimization II

Decomposition, robust optimization, advanced topics.

CMU Convex Optimization

Lecture material by Ryan Tibshirani.

Cornell Optimization Wiki

Topic explanations across mathematical programming.

NEOS Guide

Optimization problem types and solver guidance.

CVXPY Short Course

Hands-on convex optimization modeling in Python.

MIT Supply Chain Planning

Planning models for supply chain decisions.

Intermediate#analytics#optimization#MIT

MIT 15.071 The Analytics Edge

Analytics course covering regression, trees, clustering, visualization, and optimization.

Advanced#queues#stochastic#MIT

MIT 15.072J Queues: Theory and Applications

Queueing systems with Markovian queues, queueing networks, fluid models, and heavy traffic.

MIT 6.041 Probabilistic Systems Analysis

Probability foundations for stochastic modeling and OR.

Beginner#probability#MIT

Stanford MS&E 212

Stanford management science and engineering OR course page.

Intermediate#Stanford#OR

Intermediate#Princeton#optimization#QP

Princeton ORF307 Optimization

Optimization course covering least squares, LP, duality, simplex, networks, IP, and uncertainty.

Intermediate#Cornell#LP#optimization

Cornell ORIE 320/520 Optimization I

Optimization I syllabus covering LP formulation, simplex, interior point, sensitivity, transportation, and NLP.

Intermediate#Georgia Tech#deterministic OR

Georgia Tech ISyE 3231 Deterministic OR

Deterministic OR syllabus covering LP, IP, NLP, goal programming, sensitivity, and network structures.

UC Berkeley IEOR 160 Operations Research I

Operations Research I course page with assignments and software pointers.

Intermediate#Berkeley#OR

Intermediate#Columbia#deterministic OR

Columbia IEOR E4004 Deterministic Models

Deterministic OR syllabus covering modeling, LP, networks, IP, DP, NLP, decomposition, multiobjective optimization, and CP.

Intermediate#Waterloo#deterministic OR

University of Waterloo CO 370 / CM 443

Deterministic OR models course page.

Intermediate#Lehigh#LP#IP

Lehigh IE 316 Advanced Operations Research Techniques

Lecture slides and assignments on LP geometry, simplex, duality, sensitivity, network flows, IP, and strong formulations.

University of Michigan IOE 510 Linear Programming

Linear programming syllabus and lecture notes covering polyhedra, simplex, duality, sensitivity, transportation, and interior-point methods.

Intermediate#Michigan#LP

Python Libraries

13 items

Pyomo

Python-based algebraic modeling for optimization.

#modeling

PuLP

LP modeler with multiple solver backends.

#LP#MIP

python-mip

MIP modeling with access to CBC and Gurobi.

#MIP

CVXPY

Disciplined convex programming in Python.

#convex

Google OR-Tools

Optimization toolkit: CP-SAT, routing, LP/MIP.

#CP-SAT#VRP

SciPy Optimize

Numerical optimization routines.

NetworkX

Graph algorithms and network analysis.

SimPy

Process-based discrete-event simulation.

Mesa

Agent-based modeling and simulation.

Gurobi Python API

Python interface to Gurobi.

DOcplex

Python modeling API for IBM Decision Optimization.

PySP

Stochastic programming extension historically associated with Pyomo.

#stochastic programming

OR-Tools Routing

Google OR-Tools guide for routing and vehicle routing models.

#VRP#routing

Julia Libraries

10 items

JuMP

High-performance algebraic modeling language for Julia.

MathOptInterface

Abstraction layer between JuMP and solvers.

HiGHS.jl

Julia interface to HiGHS.

Cbc.jl

Julia interface to the CBC mixed-integer solver.

Ipopt.jl

Julia interface to Ipopt for nonlinear optimization.

Convex.jl

Disciplined convex programming in Julia.

Graphs.jl

Graph algorithms and data structures.

StochasticPrograms.jl

Stochastic programming in Julia.

SDDP.jl

Stochastic dual dynamic programming for multistage optimization.

PowerModels.jl

Julia/JuMP package for power network optimization formulations.

#energy#power systems

R Libraries

9 items

ompr

Modeling language for MILP in R.

ROI

R Optimization Infrastructure.

lpSolve

Linear and integer programming.

Rsymphony

Interface to the SYMPHONY MILP solver.

CVXR

Disciplined convex optimization in R.

nloptr

R interface to NLopt.

igraph

Graph algorithms and network analysis.

simmer

Discrete-event simulation in R.

forecast

Time series forecasting.

Modeling Languages

7 items

AMPL

Mature algebraic modeling language with broad solver support.

GAMS

Algebraic modeling system for large-scale optimization.

AIMMS

Modeling and application development platform.

MiniZinc

Constraint modeling language with many solver backends.

Mosel

Modeling language for FICO Xpress.

OPL

IBM Optimization Programming Language.

MiniZinc Handbook

Documentation and modeling guide for constraint programming in MiniZinc.

#constraint programming

Commercial Solvers

8 items

Gurobi Optimizer

High-performance LP, MIP, QP, QCP solver.

IBM ILOG CPLEX

Math programming and constraint programming suite.

FICO Xpress

Commercial optimization solver and environment.

MOSEK

Conic, convex, quadratic, SDP, and mixed-integer solver.

Artelys Knitro

Nonlinear optimization solver.

Hexaly Optimizer

Hybrid optimization solver (LP, MILP, NLP, MINLP, CP).

Octeract Engine

Deterministic global optimization solver.

Frontline Systems Solver

Optimization tools for Excel and analytics workflows.

Open-Source Solvers

14 items

HiGHS

High-performance open-source LP, MIP, QP solver.

SCIP

Constraint integer programming and MINLP framework.

CBC

COIN-OR branch-and-cut MIP solver.

CLP

COIN-OR LP solver.

Ipopt

Interior-point solver for nonlinear optimization.

Bonmin

Mixed-integer nonlinear programming solver.

Couenne

Global optimization for nonconvex MINLP.

GLPK

GNU Linear Programming Kit.

ECOS

Embedded conic solver.

SCS

Splitting conic solver.

OSQP

Operator splitting QP solver.

Clarabel

Interior-point conic solver.

CP-SAT

Constraint programming and integer optimization in OR-Tools.

NLopt

Open-source library for nonlinear optimization.

Datasets & Benchmarks

14 items

MIPLIB

Benchmark instances for mixed-integer programming.

Netlib LP Test Set

Classic LP benchmark collection.

QPLIB

QP benchmark library.

MINLPLib

MINLP benchmark instances.

TSPLIB

TSP and related routing instances.

VRP-REP

Vehicle routing problem repository.

OR-Library

Classic OR datasets by J. E. Beasley.

PSPLIB

Project scheduling problem library.

Solomon VRPTW

Vehicle routing with time windows.

CVRPLIB

Capacitated VRP instances.

DIMACS Implementation Challenges

Benchmark challenges for combinatorial optimization.

ROADEF/EURO Challenge

Industrial optimization challenge instances.

Kaggle Operations Research Datasets

Public datasets for applied OR practice.

RobinX Sports Timetabling

Sports timetabling data and validation resources.

#sports scheduling

Journals & Conferences

24 items

Operations Research

INFORMS flagship OR journal.

Management Science

Management, analytics, economics, decisions.

M&SOM

Manufacturing & service operations management.

Transportation Science

Transportation, logistics, mobility.

INFORMS Journal on Computing

Algorithms, software, analytics.

Mathematical Programming

Optimization theory, algorithms, applications.

Mathematics of Operations Research

Mathematical foundations of OR.

European Journal of Operational Research

Broad OR methods and applications.

Computers & Operations Research

Computational OR and algorithms.

IISE Transactions

Industrial and systems engineering research.

Naval Research Logistics

Logistics, optimization, and stochastic models.

Queueing Systems

Queueing theory and stochastic service systems.

INFORMS Annual Meeting

Large OR and analytics conference.

EURO Conference

European operational research conference series.

IFORS Conference

International OR conference organized by IFORS.

IPCO

Integer programming and combinatorial optimization.

Winter Simulation Conference

Major conference for simulation research and practice.

TRB Annual Meeting

Transportation research and policy conference.

Mathematical Optimization Society Meetings

MOS meeting calendar including IPCO, ICCOPT, ICSP, ISMP, and MIP workshops.

#optimization#conference

INFORMS Journal on Applied Analytics

Applied OR and analytics case-study journal, formerly Interfaces.

#applied analytics

Decision Analysis

INFORMS journal for decision analysis theory and applications.

#decision analysis

INFORMS Journal on Optimization

INFORMS journal for optimization theory, computation, and applications.

#optimization

MIP Workshop

Workshop focused on mixed-integer programming research and computation.

#MIP#conference

SIGMETRICS

Conference and community for performance analysis and modeling of computing systems.

#queueing#performance

Societies & Communities

18 items

INFORMS

Largest professional society for OR and analytics.

The OR Society

UK professional society for operational research.

Mathematical Optimization Society

International society for mathematical optimization.

EURO — Association of European OR Societies

Federation of European OR societies.

IFORS

International Federation of OR Societies.

SIAM Activity Group on Optimization

SIAM community for optimization research.

IISE

Institute of Industrial and Systems Engineers.

POMS

Production and Operations Management Society.

Operations Research Stack Exchange

Q&A site for OR modeling, algorithms, and software.

COIN-OR

Community for open-source operations research software.

Stochastic Programming Community

Community site for stochastic programming researchers and practitioners.

#stochastic programming

INFORMS Optimization Society

INFORMS society for optimization methods, software, and applications.

#optimization

INFORMS Simulation Society

INFORMS society promoting simulation research and practice.

#simulation

#revenue management#pricing

INFORMS Revenue Management and Pricing Section

INFORMS community for revenue management and pricing.

#transportation#logistics

INFORMS Transportation Science and Logistics Society

INFORMS society for transportation science, freight logistics, air transportation, urban transportation, facility logistics, and ITS.

#operations management#service operations

INFORMS MSOM Society

Manufacturing and Service Operations Management society.

INFORMS Health Applications Society

INFORMS community for healthcare OR applications.

#healthcare

INFORMS Public Sector OR Section

INFORMS community for public-sector OR and policy applications.

#public sector#policy

Blogs & Online Resources

16 items

NEOS Guide — Algorithms

Guide to optimization algorithms including SQP, interior point, QP, Newton, and trust-region methods.

#algorithms

NEOS Guide — Complementarity Problems

Overview of linear and nonlinear complementarity problems and applications.

#complementarity

NEOS Guide — Quadratic Programming

Overview of QP models and algorithms.

#QP

#solver engineering#numerics

Gurobi Numerical Guidelines

Practical guidance on numerical issues in optimization models.

Research Groups

14 items

MIT Operations Research Center

Graduate program and research center in OR.

Cornell Operations Research and Information Engineering

OR, information engineering, analytics, and applied probability.

Columbia Industrial Engineering and Operations Research

Optimization, analytics, logistics, finance, and OR.

Stanford Management Science and Engineering

Decision analysis, optimization, organizations, and technology.

UC Berkeley Industrial Engineering and Operations Research

OR, data science, logistics, and industrial engineering.

Georgia Tech ISyE

Industrial and systems engineering with strong OR programs.

Princeton Operations Research and Financial Engineering

OR, financial engineering, probability, and optimization.

University of Michigan Industrial and Operations Engineering

OR, ergonomics, data analytics, and systems engineering.

Northwestern Industrial Engineering and Management Sciences

Optimization, analytics, and operations.

ETH Zurich Institute for Operations Research

Mathematical optimization and OR research group.

University of Waterloo Combinatorics and Optimization

Combinatorial optimization, graph theory, cryptography, and OR.

University of Toronto Operations Research

OR in mechanical and industrial engineering.

Penn State Operations Research

Intercollege graduate program in OR.

NC State Operations Research

OR graduate degrees and applied research.