How few nurses can cover every hour of your unit?

Your unit needs 8 nurses at breakfast, 9 at midday, and 4 overnight, and every shift you post costs a different amount once evening and night differentials kick in. Which mix of start times covers every hour for the least money? This template turns that question into a one-click solve.

Operations Advanced Optimization free

After you install, this is the model to open.

How Many Nurses Does Each Shift Need?

  1. In your spreadsheet, click the Sortia icon in the strip of icons down the right-hand edge. No strip? Click the arrow at the bottom-right to open it. You can also use Extensions, then Sortia, then Open Sortia.
  2. Click Start from a template and put that name in the search box.
  3. Pick the card with that name and click Load this template. It arrives on a new tab with real numbers already in it.

The answer

Starting from the usual day/evening/night roster, one click restaggers the start times:

Optimized daily cost
$7,648 vs $8,040 on a three-shift roster
Nurses per day
20 down from 21
Daily savings
$392 4.9% of payroll
Annual savings
$143,080 at 365 days

The optimizer covers every 4-hour block with 20 nurses at $7,648 a day, while the usual three-shift roster takes 21 nurses and $8,040. That is $392 saved every day, about $143,080 a year, and no block ever dips below its minimum. Swap in your own coverage minimums and differentials, then re-run.

The model

Six overlapping 8-hour shift patterns each cover two 4-hour blocks of the day. The optimizer picks how many nurses start on each pattern so every block meets its minimum headcount.

Day rate (7am-3pm)$45/hr
Evening differential (3pm-11pm)+$4/hr
Night differential (11pm-7am)+$7/hr
Shift patterns6 overlapping 8-hour starts
Peak minimum (11am-3pm)9 nurses on duty
Overnight minimum (11pm-7am)4 nurses on duty
Starting rosterDay 9, Evening 8, Night 4 (21 nurses)

Once it is in your sheet

  1. The model arrives with real numbers in it and runs as it stands, so you can press the button first and understand it second.
  2. Change the numbers to yours. The sheet marks which cells are inputs and which hold formulas, and most labels carry a note explaining the row.
  3. Press the run button at the bottom of the panel. It is labeled for the tool you are in, and the result lands on its own tab, with a written reading of it beside the figures.

Never used Google Sheets? Start here goes the whole way, in seven steps, and assumes nothing.