Tanker deck at night under a clear starfield

Overview

The useful output is a decision boundary: how much delay the current commercial comparison can absorb, which input needs confirmation and when the team should reassess its preferred option.

Key takeaways

  • Separate observed port information from assumed waiting scenarios.
  • Change both time and relevant expenses when the scenario requires it.
  • Keep uncertain demurrage or other recoveries outside the base case.
  • Avoid double counting the effect of extra days.

Define the waiting event

Identify the location and activity affected. Waiting before a berth, interruption during cargo work and delay after completion may have different operational and contractual implications. A single field labelled congestion can hide those differences.

Record what the current information actually says. An agent's observation of a queue does not automatically establish the nominated vessel's waiting time. A terminal estimate is also an estimate unless the relevant party has made a different kind of commitment.

Use the best available information to construct scenarios, while preserving its source and timestamp. If the team lacks a defensible estimate, show a range of hypothetical delays as a planning exercise instead of attaching an unsupported probability to each one.

Separate commercial consequence from entitlement

The earnings model asks what happens if the ship spends longer in the defined employment. A claim analysis asks whether a party can recover an amount under the agreement. They are related but different questions.

Do not automatically offset waiting costs with assumed demurrage. The actual commencement, counting provisions, evidence and relevant contractual terms need review. A possible recovery can be presented separately if the responsible team supplies a defensible basis.

Likewise, distinguish the economic effect on an owner from the cost allocation in a particular charter. The same event can appear differently in different parties' models. State whose decision the sensitivity is designed to support.

Choose inputs that can be explained

A simple model needs a base contribution, a base duration and the incremental expense assumed for each extra day. Explain what that incremental expense includes. It should not silently duplicate costs already deducted elsewhere.

Keep the calculation narrow enough to understand. If longer waiting changes several other activities, either include those dependencies explicitly or state that the simple model holds them constant. Complexity hidden in a formula makes the result harder to challenge.

The Baltic Exchange guide to shipping identifies port delays among the factors that can affect vessel supply and freight conditions. The exercise below addresses one voyage's hypothetical economics, not the wider market impact.

Compare illustrative waiting cases

ILLUSTRATIVE — invented teaching inputs; not market data.

Assume a base contribution of 360,000 USD over 24 days, with extra waiting expenses of 3,000 USD per day. For d extra days, contribution = 360,000 − 3,000 × d; duration = 24 + d; daily earnings = (360,000 − 3,000 × d) ÷ (24 + d).

Extra waiting daysContribution, USDTotal daysDaily earnings, USD
0360,0002415,000.00
2354,0002613,615.38
5345,0002911,896.55
8336,0003210,500.00

All figures in the table are invented for teaching. The incremental daily expense is an assumption, not a benchmark for a vessel class or port. The example holds revenue and all other model boundaries constant.

The daily result falls for two reasons: the contribution reduces through extra expenses, and the employment lasts longer. Showing both effects helps the reviewer understand why a delay can matter even when the additional cash expenditure looks modest beside total voyage revenue.

Find a conditional decision boundary

ILLUSTRATIVE — invented teaching inputs; not market data.

Assume a comparable alternative earns 13,000 USD per day. Equate the delayed case to that figure:

(360,000 − 3,000 × d) ÷ (24 + d) = 13,000.

Solving gives d = (360,000 − 24 × 13,000) ÷ (13,000 + 3,000) = 3.00 extra days. Above this illustrative delay, the modelled daily result falls below the assumed alternative.

This boundary compares two stated model results. It is not a recommendation to switch employment or a forecast that the delay will occur. The alternative also needs a compatible calculation boundary and its own verified assumptions.

Use the boundary to focus the next question. If the decision changes under a plausible waiting scenario, better information about timing may be more valuable than refining a minor cost input. If it does not, the team can still document the uncertainty without pretending it disappears.

Create an escalation matrix

New informationWhat changes in the modelAppropriate response
Revised arrival forecastTiming relative to the current port situationRecheck the waiting assumption
New terminal estimateEvidence supporting expected delayPreserve the update and revise the case
Changed cargo sequencePossible duration and expense dependenciesRebuild affected activities
Possible contractual recoverySeparate contingent commercial scenarioRefer entitlement for qualified review
Different employment optionComparison basis and opportunity setReconcile boundaries before ranking
Unverified market rumourNo confirmed operational inputRecord uncertainty without treating it as fact

The matrix prevents every message from being treated as an instruction to change the approved model. It identifies which decision needs attention and who should supply the missing evidence.

Avoid double counting opportunity cost

Dividing the voyage contribution by a longer duration already changes the daily earnings measure. If the analyst also deducts a full hypothetical next-employment income for each extra day, the model may count the same economic concern twice or mix incompatible boundaries.

There may be a valid reason to model a lost follow-on opportunity, but it needs a separate, explicit framework. Describe the actual alternative, its timing and what is being forgone. Do not attach an unexplained opportunity-cost line merely to make the delay scenario look more conservative.

Similarly, do not add a daily expense that is already included in the base cost for the same period. The reviewer should be able to trace each deduction to an activity or stated assumption.

Make the sensitivity useful to operations

The receiving operator does not need every formula, but does need to know which timing changes would trigger a new commercial decision. Provide a short note with the relevant threshold and the information that must be reported.

  1. Identify the particular waiting event being monitored.
  2. Name the source used for the current forecast.
  3. State the scenario that materially changes the comparison.
  4. Assign the contact who can approve a revised plan.
  5. Record when the model must be reviewed again.

Keep this note subordinate to safe operations and authorised instructions. An earnings sensitivity is not authority to change navigation, loading or port procedures.

Common mistakes

Avoid turning a queue observation into a precise arrival-to-berth promise. Do not describe invented delay cases as historical port performance. Do not credit a claim before its basis has been reviewed or attach probabilities without evidence.

Another mistake is carrying the same waiting assumption into every option despite different arrival timing or operating circumstances. A fair comparison uses consistent methodology while allowing the underlying facts to differ.

Where Zeaclub fits

Zeaclub supports agentic, AI-assisted operations with a human in control.

Zeaclub provides a multi-party shared workspace for owners, charterers, brokers and port agents.

Explore Zeaclub

Visit the Zeaclub website

Educational information only; not legal, financial or trading advice. Contract wording and applicable rules control. Verify current requirements and obtain qualified advice before acting.

Frequently asked questions

Is this a forecast of port congestion?

No. It is a method for examining conditional outcomes. A forecast would require current, relevant evidence and an explicit explanation of its limitations.

Should every waiting day produce the same extra cost?

Only if that is a defensible simplification for the exercise. A real model may need different assumptions as activities and operating conditions change.

Can demurrage be included as revenue?

Do not assume entitlement. Obtain the appropriate contractual review and show uncertain recoveries separately from a base case that relies on confirmed inputs.

What does a decision boundary tell the team?

It identifies when a stated comparison changes under the model's assumptions. It helps prioritise information and reassessment, but does not replace commercial judgment or operational authority.

Primary sources