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Agriculture Operations

Supply‑chain · decision horizons · fourteen models

Agricultural operations research asks how a farm, cooperative, or agri-food supply chain can allocate land, labor, water, seed, equipment, and time to produce food reliably, profitably, and sustainably — across horizons that stretch from a single day's tractor schedule to a decade-long infrastructure investment. This section presents fourteen canonical OR problems, each as a live interactive solver grounded in a real agricultural decision, organized along the supply-chain-function × decision-horizon taxonomy of Ahumada & Villalobos (2009).

Why agricultural OR matters

Scale of the problem · three anchor statistics

~70%
of global freshwater withdrawals are used by agriculture — water-allocation decisions have outsized environmental and economic consequences.
FAO AQUASTAT · fao.org/aquastat
~14%
of food produced globally is lost between post-harvest and retail — an opportunity space for better storage, scheduling, and routing models.
FAO, State of Food and Agriculture 2019 · fao.org
~22%
of total anthropogenic greenhouse-gas emissions come from agriculture, forestry, and other land use — climate-smart optimization is a first-order lever.
IPCC AR6 WG3 (2022), Ch. 7 · ipcc.ch/ar6/wg3

Decision framework

Four lenses on the same fourteen applications

The primary taxonomy of Ahumada & Villalobos (2009) decomposes agri-food planning along two axes: the supply-chain function (production, harvesting, storage, distribution) and the decision horizon (strategic, tactical, operational). Every application in this section occupies one cell. Dashed cells are honest gaps — decisions that exist in practice but are not yet modelled here.

The FAO sustainable food value chain framework follows the flow of value from agricultural inputs through production, processing, and distribution to the consumer. Our site currently covers the first, second, and fourth stages strongly; processing remains an open area (e.g., beverage, baking, milling optimization).

Precision agriculture wraps a closed-loop management cycle around every in-field operation: Sense (soil, weather, crop status) → Analyze (aggregate, predict) → Prescribe (variable-rate plan) → Apply (execute) → Monitor (validate, learn). Our current applications mostly sit in the Prescribe and Apply stages — the cycle shows the surrounding steps where telemetry and analytics complete the loop.

Sense soil · weather Analyze predict · map Prescribe VR-rate plan Apply route · spray Monitor validate · learn

The FAO Climate-Smart Agriculture framework organizes interventions around three pillars: sustainably increasing productivity, building adaptation to climate change, and reducing greenhouse-gas emissions. Each application below may contribute to one or more pillars — the classification reflects the pillar most strongly advanced by the model.

Application catalog

All fourteen pages · click a card to open the interactive solver

Robust QP Strategic
Crop Portfolio Selection
Choose a diversified crop mix that balances expected gross margin against yield and market-price risk, with ellipsoidal uncertainty on returns.
Linear Assignment Tactical
Field-to-Crop Assignment
Match each field to one crop to maximize total expected margin, respecting soil suitability and rotation preferences (Hungarian method).
Linear Programming Tactical
Seasonal Workforce Planning
Plan monthly farm labor across the growing season to meet peak-period demand at minimum cost, with hire, retain, and overtime levers.
Newsvendor Tactical
Seed Inventory Planning
Order seed quantities before the planting window under uncertain demand, germination rates, and lead times (critical-fractile order quantity).
Minimum Spanning Tree Strategic
Irrigation Network Design
Design a minimum-cost pipeline network connecting a water source to all fields, balancing pipeline length against elevation and flow constraints.
VRPTW Operational
Fertilizer Delivery Routing
Route tractors or spreader trucks from a depot to fertilize all fields within their application time windows, minimizing total travel.
Single-Machine Scheduling Operational
Pest Control Scheduling
Sequence pest-scouting or spray treatments across fields on a single sprayer to minimize weighted tardiness against pressure-driven due dates.
Linear Programming Tactical
Water Resource Allocation
Allocate a scarce seasonal water budget across crops and time periods to maximize crop-value yield under evapotranspiration demand curves.
Flow Shop Operational
Harvest Processing Line
Sequence harvest lots through a multi-stage processing line (reception → cleaning → grading → storage) to minimize makespan.
Parallel Machines Tactical
Farm Equipment Scheduling
Assign harvesting and tillage tasks across a fleet of parallel machines to balance workload and minimize completion time.
1D Bin Packing Tactical
Grain Silo Packing
Pack grain lots of varying size into silos with fixed capacity, minimizing the number of silos opened while keeping lot identity intact.
CVRP Operational
Crop Transport Routing
Route trucks from fields to a collection depot respecting load capacity and delivery time windows, minimizing total distance travelled.
Facility Location Strategic
Distribution Centre Location
Select which candidate sites to open as distribution centres, minimizing fixed opening plus farm-to-centre assignment cost (UFLP).
Stochastic DP Tactical
Market Timing & Sales
Decide when to sell stored crop quantities across a price-uncertain horizon, balancing storage cost, quality decay, and expected price gain.

Crop cycle timeline

The seasonal view · complementary to the decision matrix above

The same fourteen applications, laid out in the order they typically fire during an annual production cycle. Useful when the question is “what decisions am I making right now?” rather than “which OR problem family do I need?”.

2 · Workforce Planning

3 · Planting Season

7 · Market & Sales

Current research frontiers

Where agricultural OR is actively evolving

Climate-adaptive planning under deep uncertainty

Distributionally robust and multi-stage stochastic formulations for long-horizon crop choice, irrigation, and insurance under shifting climate baselines (Ahumada & Villalobos 2009; FAO CSA Sourcebook).

Precision agriculture & variable-rate prescriptions

Coupling sensor data (UAV multispectral, soil-probe networks) with per-zone optimization for fertilizer, pesticide, and irrigation application — closing the Sense–Analyze–Prescribe–Apply–Monitor loop.

Circular & low-emission agri-food systems

Nutrient-recycling routing, manure valorization, reverse-logistics for food waste, and carbon-aware supply-chain design across farm, processor, and retailer (FAO sustainable food value chains).

Key references

Cited above · DOIs & permanent URLs

Ahumada, O., & Villalobos, J. R. (2009).
“Application of planning models in the agri-food supply chain: A review.”
European Journal of Operational Research, 196(1), 1–20. doi:10.1016/j.ejor.2008.02.014
Plà-Aragonés, L. M. (Ed.). (2015).
Handbook of Operations Research in Agriculture and the Agri-Food Industry.
Springer, International Series in Operations Research & Management Science, 224. doi:10.1007/978-1-4939-2483-7
Weintraub, A., Romero, C., Bjørndal, T., Epstein, R., & Miranda, J. (Eds.). (2007).
Handbook of Operations Research in Natural Resources.
FAO.
“Sustainable food value chain framework.”
Food and Agriculture Organization of the United Nations. fao.org/sustainable-food-value-chains
FAO.
Climate-Smart Agriculture Sourcebook — three pillars: productivity, adaptation, mitigation.
FAO. (2019).
The State of Food and Agriculture 2019: Moving forward on food loss and waste reduction.
IPCC. (2022).
“Agriculture, Forestry and Other Land Uses (AFOLU).” In AR6 WGIII Report, Chapter 7.
Intergovernmental Panel on Climate Change. ipcc.ch/ar6/wg3/chapter-7
UF/IFAS EDIS.
“Variable Rate Technology and Its Application in Precision Agriculture” (AE607).
University of Florida. edis.ifas.ufl.edu/AE607

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Data and numerical examples are illustrative. Pages on this site are educational tools, not production software.