Project 1 · Methodology

Methodology

A reproducible analytical framework for graph-based combinatorial optimization of agricultural supply networks in Burundi.

Research design

From market prices to network optimization

1. Market price layer

The analytical system uses agricultural market-price observations to identify potential price differentials between market pairs.

2. Road-network layer

OpenStreetMap road data are transformed into a routable analytical network and used to estimate road distance between market nodes.

3. Opportunity screening

Ordered origin-destination pairs are evaluated using gross price gaps and transport-cost scenarios.

4. Flow optimization

Linear programming is used to maximize normalized net margins subject to product-level supply, demand and shared-corridor constraints.

5. Robustness analysis

Candidate routes are evaluated across multiple transport-cost scenarios to distinguish robust, strong, moderate and sensitive opportunities.

6. Spatial prioritization

Corridor-level indicators combine robustness, product breadth, optimization persistence and spatial efficiency to produce a research-priority hierarchy.

Optimization model

Constrained network allocation

The core allocation problem is solved with linear programming. Decision variables represent normalized flows on profitable product-specific origin-destination arcs.

Constraints include normalized origin supply limits, destination demand limits and shared corridor-capacity scenarios. The objective is to maximize total normalized net margin after transport costs.

Reproducibility

Controlled analytical workflow

The project records data preparation, network construction, optimization, sensitivity analysis, corridor prioritization, validation checks and research limitations as separate stages.

All normalized optimization quantities are analytical units and should not be interpreted as observed tonnes or transaction volumes.

Scientific status

What the methodology does — and does not — establish

Important: The analytical model is finalized and reproducible, but it has not been empirically validated with a sufficient independent set of primary freight, supply, demand, transaction-cost and holdout observations. Recalibration therefore remains blocked pending empirical evidence.