GCRI · Food Nexus

Optimisation for food supply chains

Optimisation and operations research help allocate scarce food, water, storage and transport under constraints. In food systems they design reserve networks, route relief, schedule irrigation and plan supply chains that keep working when a port, road or supplier fails, with the trade-offs between cost, speed and robustness stated.

01Register

Optimisation for food supply chains on the record.

Method recordSTEM method
  1. MethodOptimisation and operations research
  2. Applied inFood Nexus
  3. Canonical pageSTEM Commons
02Application

What optimisation and operations research does here.

Optimisation and operations research develop mathematical methods for allocating resources and making decisions under constraints. They support planning and logistics in complex, interconnected systems. In food and agriculture, trade, resources and supply chains and climate and hazards, optimisation supports prepositioning of supplies, network investment and recovery sequencing. Robust formulations help choose options that perform acceptably across many scenarios. The canonical description is on the STEM Commons.

Humanitarian supply and prepositioning

Network models choose warehouse locations, stock levels and routes that minimise delivery time and cost across a set of shock scenarios, with access constraints and road conditions included.

Strategic reserve design

Stochastic programming sizes and places grain reserves against harvest and import scenarios, balancing storage cost, spoilage and the cost of a shortfall.

Irrigation scheduling and allocation

Optimisation allocates water between schemes and crops under supply, energy and environmental-flow constraints, stating the loss each user bears in a dry year.

03Monitor

Optimisation run.

The screen a team would use to follow this method: its measures, states and decisions. Names are examples and values are illustrative.

Optimisation run

Food · Optimisation for food supply · Run R-2497

Feasible, gap closingGCRI · Food Nexus

Convergence

Method card

Method
Optimisation and operations research
Variables
67,403
Optimality gap
1.1 pct
Label
MODELLED

Binding constraints

Capacity027Binding
Budget01.0Binding
Service level40Slack
Optimisation run: the screen’s structure, terms and states for Food.Example names and illustrative values; a design, not a record or a live system.
04Data

What the method consumes.

Datasets and records used by optimisation and operations research on this platform, with the role each plays and the label its values carry. Sources are listed in the source register.

DataRoleLabel
Logistics network and road condition dataNetwork topology and costsREPORTED
Needs and demand estimatesTargets and constraintsESTIMATED
Storage capacity and cost recordsFacility parametersPublished statistics
Shock scenario setsSupply uncertaintyMODELLED
05Simulator

A shock through an input-output economy.

A loss of output in one sector propagates through the technical coefficients to its suppliers and customers, and recovers at the rate you set; the coefficients are teaching values, not national accounts. Teaching model with stated illustrative values, not a prediction.

Controls

Sector hit first (position in the list)
0
Size of the shock
30% of its output
Duration of the shock
30 days
Recovery rate
0.08 per day
Days simulated
180 days

Readouts

Output lost over the run
0.82% of a year’s output
Total over direct (multiplier)
1.46 times
Most affected other sector
Food processing
Its peak inoperability
1.6%
Numbers, methods and sources
SectorPeak inoperability (%)Output weight (%)
Farming33.8723.7
Fertiliser and inputs0.2222.6
Food processing1.5611.3
Transport0.1112.2
Wholesale and retail0.0516.2
Energy0.1114.0

Methods

  1. Input-output analysis Leontief (1936); Miller and Blair (2009), Input-Output Analysis, Cambridge University Press
  2. Inoperability input-output model Haimes and Jiang (2001), Journal of Infrastructure Systems 7
  3. Dynamic inoperability and recovery Lian and Haimes (2006), Systems Engineering 9
  4. Uncertainty fan (parameter Monte Carlo) Spiegelhalter, Pearson and Short (2011), Visualising uncertainty about the future, Science 333
  5. One-at-a-time sensitivity (tornado) Saltelli and others (2008), Global Sensitivity Analysis: The Primer, Wiley

Data

The model runs on the teaching values set by the controls. To calibrate it for a place, read it against these admitted layers and series, which this page’s map can draw:

  • Seaports Natural Earth
  • Maritime chokepoints Nexus (named straits and canals at their published coordinates)
  • Railways Natural Earth
  • Major roads Natural Earth
A shock through an input-output economy. Illustrative teaching model: it runs on the values set by the controls, not on measured data. Methods: Input-output analysis (Leontief (1936); Miller and Blair (2009), Input-Output Analysis, Cambridge University Press); Inoperability input-output model (Haimes and Jiang (2001), Journal of Infrastructure Systems 7); Dynamic inoperability and recovery (Lian and Haimes (2006), Systems Engineering 9).

Across the six pillars, led by Nexus Consortium

06Validation

How results are checked.

Solutions are checked for feasibility, tested through simulation and compared with historical decisions. Sensitivity analysis examines how results change with parameters.

CheckHow it is done
Feasibility and simulationSolutions are simulated under scenarios not used in the optimisation to test how they perform
Comparison with past decisionsPlans are compared with what operators actually did in past events
Sensitivity to assumptionsCosts, demand and capacity are varied to show how fragile a recommended plan is

Optimal solutions can be fragile when assumptions are wrong. Objectives may omit values that are hard to quantify.

07Sector signature

The sector signature of optimisation for food supply chains.

The sectors optimisation for food supply chains touches and how strongly they depend on each other: what a study has to observe and model together.

Select corners · hover lines6 / 15 relations

Signature

Food and its partners

Food gives nutrition to health (0.7), land conversion to biodiversity (0.6) and withdrawals and runoff to water (0.3).

W · E · I · F · H · B

Sectors
4 of 6
Relations
6 of 15
Coupling
0.46 share of total

Strongest relations in play

  • Food → Biodiversity · land conversion0.6
  • Water → Food · irrigation0.8
  • Water → Biodiversity · environmental flows0.6
  • Food → Health · nutrition0.7
Teaching values for a typical city-region, not measurements for any place. Coupling is the summed strength of the relations in play, as a share of all fifteen.
09Methods and evidence

How optimisation for food supply chains is modelled, measured and tested.

The model, its assumptions, its data and its uncertainty, in the form a scientist or engineer would check. Structures follow published methods. The values drawn are illustrative, not findings.

System model

The couplings between the systems in optimisation for food supply chains: signs of influence, a reinforcing and a balancing loop, and cross-links where stress jumps.

++−++FoodTradeClimateCommunitiesEconomyR reinforcingB balancing
Causal loop diagram from the page’s systems; signs show the direction of influence. Illustrative structure for a system dynamics or network model, not estimated couplings.
FAIR guiding principles · GO FAIR and FORCE11W3C PROV · World Wide Web ConsortiumGuidance on consistent treatment of uncertainties · IPCCCEOS Analysis Ready Data · Committee on Earth Observation Satellites
10Stewardship

Who maintains the method.

Systems Science and Modelling stewards optimisation and operations research for the Consortium and reviews how it is applied across platforms.

12Questions

Questions and answers.

What are the limits of optimisation and operations research in this field?
Optimal solutions can be fragile when assumptions are wrong. Objectives may omit values that are hard to quantify.
How are results checked?
Solutions are checked for feasibility, tested through simulation and compared with historical decisions. Sensitivity analysis examines how results change with parameters.
Are the values on this page real?
The data names, roles and checks are real descriptions of practice. The canvas shows a design of the method’s use, not a run; no result is reported here.
Where else is this method applied?
The canonical method page lists every platform that applies it.
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Reports is the Consortium’s quarterly publication. What you know about this subject can become evidence, a case or a correction in the next edition, credited to you and published under CC BY 4.0 where it is your own work.

GCRIFood NexusGlobal Sector Risk and ResilienceCountry Systems Risk and ResilienceEvidence Brief
Food Nexus

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