Problems

The table below enumerates every problem in FormulationBench and the source it was adapted from. Each problem page provides detailed information about the problem and every formulation of it. This documentation is automatically generated from the dataset to ensure it is up-to-date.

Problem

Name

Source

p1

Amusement Park Ticket Machines

EquivaFormulation

p2

Electricity Generation Experiment

EquivaFormulation

p3

Summer Camp Science Experiment

EquivaFormulation

p4

Employee Transportation

EquivaFormulation

p5

Garden Bed Soil Hydration

EquivaFormulation

p6

Capacitated Warehouse Location Problem (CWLP)

EvoCut

p7

Rectangular Tiling with One Hole per Row and Column (IMO6)

EvoCut

p8

Job Shop Scheduling Problem (JSSP)

EvoCut

p9

Multi-Commodity Network Design (MCND)

EvoCut

p10

Pickup and Delivery Problem with Time Windows (PDPTW)

EvoCut

p11

Sub-Hour Unit Commitment (SHUC)

EvoCut

p12

Traveling Salesman Problem (TSP)

EvoCut

p13

Air Traffic Flow Management

Ferchtandiker2025

p14

Blood Bank Netherlands

Ferchtandiker2025

p15

Dutch Housing Problem

Ferchtandiker2025

p16

Park and Bike Hub Location (Mobian)

Ferchtandiker2025

p17

Open-Pit Mine Production Scheduling

Ferchtandiker2025

p18

Timor-Leste Hospital Location

Ferchtandiker2025

p19

UN Humanitarian Disaster Response Hub Location (UNHDR)

Ferchtandiker2025

p20

World Food Program Food Distribution

Ferchtandiker2025

Citations

@article{yazdani2025,
  title = {EvoCut: Strengthening Integer Programs via Evolution-Guided Language Models},
  author = {Yazdani, Milad and Mostajabdaveh, Mahdi and Aref, Samin and Zhou, Zirui},
  journal = {arXiv preprint arXiv:2508.11850},
  year = 2025
}

@inproceedings{zhai2025a,
  title = {EquivaMap: Leveraging LLMs for Automatic Equivalence Checking of Optimization Formulations},
  author = {Haotian Zhai and Connor Lawless and Ellen Vitercik and Liu Leqi},
  booktitle = {Forty-second International Conference on Machine Learning},
  year = 2025
}

@mastersthesis{ferchtandiker2025,
  title = {Generating Efficient Optimization Formulations Using Large Language Models},
  author = {Ferchtandiker, Nathan},
  school = {Universiteit van Amsterdam},
  year = 2025
}