Operations Research

Scheduling, queueing, network design, and decision analysis.


foundation tier

Operations Research. Scheduling, queueing, network design, and decision analysis. This page collects canonical references that organise the subject and provide entry points to its main techniques.

Foundations and canonical references

The standard treatments of operations research approach the subject from complementary angles. Hillier, Introduction to Operations Research (2014) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Taha, Operations Research: An Introduction (2017) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.

Open methodological questions for operations research include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2014
    Introduction to Operations Research
    hillier-2014, lieberman-2014
  • textbook · primary · 2017
    Operations Research: An Introduction
    taha-2017

In context

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Explore

  1. 01

    Queueing Theory

    M/M/1, networks of queues, and heavy-traffic limits.

  2. 02

    Scheduling Theory

    Job-shop, flow-shop, and online scheduling algorithms.

  3. 03

    Network Optimization

    Shortest paths, max flow, and multi-commodity flow.

  4. 04

    Markov Decision Processes

    Dynamic programming, value/policy iteration, and average-reward MDPs.


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