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Port productivity: one call, three clocks, three readings

The same port call reads fast by the crane clock, slow by the berth clock, and different again by the vessel clock. Pick the denominator before you praise the number.

Live result

On the vessel hours basis, the calls read 33.333 and 34.615. The denominator is part of the result.
On the vessel hours basis, the calls read 33.333 and 34.615. The denominator is part of the result.

One call, three denominators

One call, three denominatorsCall A moved 800 container move in 24 vessel hours, 16 berth hours and 32 crane hours, which read 33.333, 50.000 and 25.000 moves per hour.

Try a record

2

Add a crane and only the crane hour bar moves.

Call shown

Rate denominator

Edit the port call records
Call 1
Call 2

hours in the denominator

Call A
Moves
800
Vessel hours
24
Berth hours
16
Crane hours
32
Call B
Moves
900
Vessel hours
26
Berth hours
20
Crane hours
40

Rate denominator

Call A
Moves per vessel hour
33.333
Moves per berth hour
50.000
Moves per crane hour
25.000
Call B
Moves per vessel hour
34.615
Moves per berth hour
45.000
Moves per crane hour
22.500

Equation trace, boundary, source, and version

Equations

Hv=td−taH_v=t_d-t_a
where HvH_v is vessel hours, tdt_d departure, and tat_a arrival.
Hb=tu−tbH_b=t_u-t_b
where HbH_b is berth hours, tut_u unberth, and tbt_b berth.
Hc=∑ini×hiH_c=\sum_i n_i\times h_i
where HcH_c is crane hours, nin_i the number of cranes, and hih_i interval hours.
r=MHr=\frac{M}{H}
where rr is the rate, MM cargo moves, and HH declared hours.
  1. Keep calls in the order entered.
  2. Subtract arrival from departure for vessel hours.
  3. Subtract berth from unberth for berth hours.
  4. Multiply each crane count by its interval duration, then add the parts for crane hours.
  5. Divide the same cargo move count by each declared denominator.

Boundary

The comparison is valid only when every call uses the same move definition and event rules, and it does not decide which denominator an operating agreement requires.

Source anchor

UN Trade and Development port performance series. The published series describes port performance measures and the need to define the time basis behind a rate.

Calculation version

1.0.0

The whole record prints. Your browser can save it as a PDF instead of printing it.

This page exposes three arithmetic denominators. Contractual, terminal, and reporting definitions still govern any published performance figure.

Related

Port call denominator record

Port productivity: one call, three clocks, three readings

Accepted inputs

What one move means
container move
Call A Arrival hour
0
Call A Berth hour
4
Call A Unberth hour
20
Call A Departure hour
24
Call A Cargo moves
800
Call B Arrival hour
0
Call B Berth hour
2
Call B Unberth hour
22
Call B Departure hour
26
Call B Cargo moves
900

All denominator results

Call A moves per vessel hour
33.333
Call A moves per berth hour
50.000
Call A moves per crane hour
25.000
Call B moves per vessel hour
34.615
Call B moves per berth hour
45.000
Call B moves per crane hour
22.500

Record fields

Calculation version
1.0.0
Boundary
The comparison is valid only when every call uses the same move definition and event rules, and it does not decide which denominator an operating agreement requires.
Ordered calculation trace
Keep calls in the order entered. Subtract arrival from departure for vessel hours. Subtract berth from unberth for berth hours. Multiply each crane count by its interval duration, then add the parts for crane hours. Divide the same cargo move count by each declared denominator.
Source anchor
UN Trade and Development port performance series

This page exposes three arithmetic denominators. Contractual, terminal, and reporting definitions still govern any published performance figure.

Calculation version: 1.0.0

Badr Alghamdi · badralghamdi.com/tools/port-call-denominators