Academic and research administration

Research instrument booking contention calculator

One instrument, first-come order, setup before every experiment. No preemption or parallel use; timestamps are offsets from session start.

Your numbers

Use the units shown. Results update as you change valid inputs.

YOUR RESULT

One instrument, first-come order, setup before every experiment. No preemption or parallel use; timestamps are offsets from session start.

THE NUMBERS, EXPLAINED

How to use this calculator.

One instrument, first-come order, setup before every experiment. No preemption or parallel use; timestamps are offsets from session start.

Start with your inputs

Enter experiment run durations (minutes), instrument setup per run (minutes), available instrument session (minutes). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.

InputExample value
Experiment run durations (minutes)30,45,15
Instrument setup per run (minutes)5
Available instrument session (minutes)90

A worked example

With the example inputs above, experiment start offsets (minutes) is 5, 40, 90. Change the inputs to explore your own scenario.

All results for the example inputs above
ResultExample answer
Experiment start offsets (minutes)5, 40, 90
Experiment finish offsets (minutes)35, 85, 105
Session overflow (minutes)15

How this is calculated

Experiment start offsets (minutes)

Add all previous runs and setups including the current setup.

Experiment finish offsets (minutes)

Add current run duration to its start.

Session overflow (minutes)

Subtract available session from total instrument occupancy.

Symbols and units
a
Experiment run durations (minutes)
b
Instrument setup per run (minutes)
c
Available instrument session (minutes)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions and limits

One instrument, first-come order, setup before every experiment. No preemption or parallel use; timestamps are offsets from session start.

Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.

Questions about this tool

What does the result tell me?

Experiment start offsets (minutes); Experiment finish offsets (minutes); Session overflow (minutes). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.

Why might another calculator differ?

Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: One instrument, first-come order, setup before every experiment. No preemption or parallel use; timestamps are offsets from session start.

Are my inputs stored or sent to AI?

Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.

Further reading

OpenStax Prealgebra 2e — arithmetic and proportions ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Review status

Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.

Read the quality report →