Economic Speed, Fuel Curve, Voyage Days, Bunker Cost, Time Value, Deadline Constraint & Sensitivity

Ship Speed vs Fuel Cost Optimizer

Find the speed that minimizes the combined economic cost of fuel and voyage time across an operational speed range. Compare slower and faster sailing against a known vessel fuel point, see the fuel/time trade-off, enforce an arrival-time limit, and in Advanced mode separate propulsion from auxiliary load, calibrate the fuel curve, account for current, hull and weather penalties, and stress-test bunker price and time value.

Figures represent Currency
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Need propulsion/auxiliary separation, current, deadline logic, two-point curve calibration or scenario cases? Click Advanced above.Simple uses one known total daily fuel-burn point and a speed exponent. It is built for a fast commercial comparison, not a vessel-specific resistance or engine-load model.
DecisionEconomic speed
Trade-offFuel vs voyage time
Stress testPrice and time sensitivity

Voyage & Economic Inputs

Exactly ten inputs define the Simple case.

nautical miles.
knots through the water.
MT/day including the constant sea load you wish to include.
currency per MT.
currency/day. TC hire, contribution opportunity cost, or another entered value of time.
Daily fuel burn scales approximately with speed^n in the Simple model.
knots.
knots.
% applied to modeled daily fuel at all tested speeds.
0 = no deadline. A positive value sets a hard sea-passage time limit.

Voyage Envelope

nm.
knots through water.
knots added to speed over ground. Negative = adverse.
0 = no hard deadline.
knots between tested speeds.

Fuel Curve

Separate speed-dependent propulsion fuel from constant sea auxiliary/hotel fuel. Advanced can use a manual exponent or derive one from a second observed point.

MT/day.
MT/day at sea, held constant across speed.
knots.
MT/day propulsion fuel only.
%.
%.

Economic Inputs

currency/MT.
currency/day.
currency per tonne of fuel burned. User-defined economic adder, not an emissions-factor calculation.

Advanced Economic Cases

Each row re-optimizes speed under a different economic/current case. Case types are categorical so the Tool Data payload does not require route, vessel, customer or project names.

UseCase typeBunker priceTime value/dayCurrent knMax days
Planning limitation: this tool optimizes an entered economic model, not safe navigation. It does not determine safe speed, weather routing, engine minimum-load limits, charterparty speed/consumption warranties, CII compliance, ETA obligations, traffic-separation requirements or machinery operating limits. Use vessel-specific speed-power/fuel data and the approved operational basis for real decisions.
Model basis: ship propulsion power is commonly screened with a speed-power relationship near P ∝ V³ at lower Froude numbers, but actual curves vary and can become steeper at higher speeds. The Advanced model therefore separates constant auxiliary fuel from propulsion fuel and allows the exponent to be entered or calibrated from two observed propulsion-fuel points. The optimizer minimizes entered bunker/regulatory fuel cost plus entered daily time value over the feasible speed range. IMO GreenVoyage2050 speed management · MAN propulsion principles
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