Annual bed turnover rate from occupancy and average length of stay

Expresses the annual turnover rate through bed occupancy and average length of stay. It follows from dividing both sides of the throughput identity on the Average Length of Stay page (HE-FM-ALOS-002) by the number of beds, with o equal to U divided by 365 times B_bar and L_bar equal to U divided by D. A high turnover rate can come from short stays, from full beds or from both, so the rate is ambiguous on its own. On a Pabón Lasso chart, which plots T against o, each line from the origin joins points with the same L_bar.

Signature

T = 365 * o / L_bar
Inputs
InputsDefinitionUnit
oAverage bed occupancy, occupied bed-days divided by available bed-daysproportion, for example 0.85
L_barAverage length of stay, occupied bed-days divided by discharges, on the same counts as odays, above zero
Output
TAnnual bed turnover ratepatients per bed per year

Function

Bed turnover rate and turnover interval function

Maps the discharges, available beds and occupied bed-days of a period to the two measures reported as bed turnover: the turnover rate, the number of patients each bed served, and the turnover interval, the average time a bed stands empty between one patient and the next. It also expresses both through bed occupancy and average length of stay, and spreads the annual cost of a staffed bed over the patients it served. The records follow the notation of the Bed Turnover article. The throughput identity linking annual discharges to beds, occupancy and average length of stay is held on the Average Length of Stay page (HE-FM-ALOS-002) and is referenced here, not repeated.

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Implementations

  • Excel

    Annual bed turnover rate from occupancy and stay in one cell

    Excel multiplies 365 by the named occupancy cell, entered as a proportion, and divides by the named average length of stay cell.

    =365*Occupancy/ALOS

Assumptions

  • Occupancy, stay and turnover rate from the same counts

    The relation holds exactly only when o, L_bar and T come from the same discharge, bed-day and bed counts, as when average length of stay is bed-days divided by discharges on the same data as occupancy. Series that compute stay or occupancy on other bases do not satisfy it.

  • A 365-day year for the annual bed turnover rate

    The constant 365 converts occupancy into occupied bed-days per bed per year. For a leap year or another period, 365 is replaced by the number of days in the period, and T is then the rate for that period.

Worked examples

  • Annual bed turnover rate at 85% occupancy and a 5-day stay

    At the illustrative baseline, 85% occupancy and an average stay of 5.0 days give a turnover rate of 62.05 patients per bed, the same as discharges divided by beds.

    o = 0.85; L_bar = 5; T = 62.05
  • Route A bed turnover rate with stays cut to 4.25 days

    In route A, the average stay falls by 15% to 4.25 days and extra demand keeps occupancy at 85%, so the turnover rate rises to 73 and discharges from the 400 beds rise to 29,200.

    o = 0.85; L_bar = 4.25; T = 73

Common errors

  • Bed turnover rate from averaged occupancy and stay

    Averaging hospital-level ratios does not reproduce the ratio of group totals. Applying the formula to Aloh and colleagues' mean occupancy of 42.14% and mean stay of 8.15 days gives about 18.9 patients per bed, against their reported mean turnover of 21.27, because each mean is an average across hospital-years. Pooled figures come from summed discharges, bed-days and beds.

  • Occupancy entered as a percentage in the bed turnover rate

    Entering occupancy as 85 instead of 0.85 multiplies the result by 100, giving 6,205 patients per bed a year at a 5-day stay instead of 62.05.

Sources

  • Occupancy, stay and turnover definitions that combine into the turnover relation

    Aloh HE, Onwujekwe OE, Aloh OG, Nweke CJ. Is bed turnover rate a good metric for hospital scale efficiency? A measure of resource utilization rate for hospitals in Southeast Nigeria. Cost Effectiveness and Resource Allocation. 2020;18:21. Methods: bed occupancy rate is occupied bed-days over active bed-days, average length of stay is occupied bed-days over discharges and bed turnover rate is discharges in one year over active beds; the relation follows from combining the three. Table 2 gives the hospital-year means used in the common error.

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  • Pabón Lasso chart relating occupancy, turnover and stay

    Mehrtak M, Yusefzadeh H, Jaafaripooyan E. Pabon Lasso and Data Envelopment Analysis: a complementary approach to hospital performance measurement. Global Journal of Health Science. 2014;6(4):107-116. Section 1.1: occupancy on the horizontal axis, turnover on the vertical axis, and a line from zero through each point showing average length of stay.

    View source →

Canonical Identity

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