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.
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
Capacity
0
27
Binding
Budget
0
1.0
Binding
Service level
4
0
Slack
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.
Data
Role
Label
Logistics network and road condition data
Network topology and costs
REPORTED
Needs and demand estimates
Targets and constraints
ESTIMATED
Storage capacity and cost records
Facility parameters
Published statistics
Shock scenario sets
Supply uncertainty
MODELLED
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
Sector
Peak inoperability (%)
Output weight (%)
Farming
33.87
23.7
Fertiliser and inputs
0.22
22.6
Food processing
1.56
11.3
Transport
0.11
12.2
Wholesale and retail
0.05
16.2
Energy
0.11
14.0
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
Uncertainty fan (parameter Monte Carlo) Spiegelhalter, Pearson and Short (2011), Visualising uncertainty about the future, Science 333
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).
Solutions are checked for feasibility, tested through simulation and compared with historical decisions. Sensitivity analysis examines how results change with parameters.
Check
How it is done
Feasibility and simulation
Solutions are simulated under scenarios not used in the optimisation to test how they perform
Comparison with past decisions
Plans are compared with what operators actually did in past events
Sensitivity to assumptions
Costs, 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.
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.
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.
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.
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
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Food Nexus
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