Graph-based Modelling Interface for Domain-Independent Dynamic Programming
Project description
GRID
GRID (Graph-based modelling Interface for Domain-Independent Dynamic Programming) is a Python interface for high-level, declarative modelling of Vehicle Routing Problems on top of Domain-Independent Dynamic Programming (DIDP).
A routing problem is described as a directed graph of nodes, edges, and vehicle types. Routing requirements are configured either through native features (predefined attributes with built-in semantics covering common VRP variants such as CVRP, VRPTW, and PDPTW) or through custom features (user-defined variables and expressions for variants beyond the native catalogue, such as the Electric CVRP). GRID compiles the resulting model to a DyPDL model and solves it with a DIDP solver.
GRID was introduced at CP 2026; see Citation for details.
Installation
GRID requires Python >= 3.10 and is available on PyPI:
pip install pygridopt
The dependencies (DIDPPy, NetworkX, and NumPy) are installed automatically.
Example
A minimal Capacitated VRP with three customers, two vehicles of capacity 10, and a fully connected symmetric graph:
import grid
demands = {1: 3, 2: 5, 3: 2}
distances = {
(0, 1): 4, (0, 2): 6, (0, 3): 5,
(1, 2): 3, (1, 3): 7, (2, 3): 4,
}
distances.update({(j, i): d for (i, j), d in distances.items()})
model = grid.RoutingModel()
model.add_vehicle_type(id=0, count=2, capacity=10)
model.add_node(id=0, depot=True)
for customer, demand in demands.items():
model.add_node(id=customer, demand=demand)
for (i, j), d in distances.items():
model.add_edge(
node_from=model.get_node(i),
node_to=model.get_node(j),
distance=d,
)
model.set_objective(metric="distance")
result = model.solve(solver="CABS", time_limit=10)
print(f"Optimal: {result['Optimal']}")
print(f"Cost: {result['Cost']}")
print(f"Routes: {result['Solution']}")
Documentation
The documentation is available at pygridopt.readthedocs.io. It includes a quickstart, a guide to native and custom features with worked PDPTW and ECVRP examples, and an API reference.
Citation
If you use GRID in your research, please cite:
@InProceedings{giordana_et_al:LIPIcs.CP.2026.26,
author = {Giordana, Fabio and Kiziltan, Zeynep and Kuroiwa, Ryo},
title = {{GRID: Graph-Based Modelling Interface for Domain-Independent Dynamic Programming}},
booktitle = {32nd International Conference on Principles and Practice of Constraint Programming (CP 2026)},
pages = {26:1--26:23},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-432-1},
ISSN = {1868-8969},
year = {2026},
volume = {379},
editor = {Beldiceanu, Nicolas},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2026.26},
URN = {urn:nbn:de:0030-drops-266584},
doi = {10.4230/LIPIcs.CP.2026.26},
annote = {Keywords: Modelling \& Modelling Languages, Dynamic Programming}
}
License
GRID is distributed under the Apache License 2.0.
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