calc_target_capacity: Target Capacity

In NHSRwaitinglist: Waiting List Metrics Using Queuing Theory

Target Capacity

Description

Applies Kingman/Marchal's Formula :

 capacity = demand + (cvd**2 + cvc**2) / waiting_time

where cvd = coefficient of variation of time between arrivals cvd = coefficient of variation of service times waiting_time = target_wait / factor

Usage

calc_target_capacity(
  demand,
  target_wait,
  factor = 4,
  cv_demand = 1,
  cv_capacity = 1
)

Arguments

demand	Numeric value of rate of demand in same units as target wait e.g. if target wait is weeks, then demand in units of patients/week.
target_wait	Numeric value of number of weeks that has been set as the target within which the patient should be seen.
factor	the amount we divide the target by in the waiting list e.g. if target is 52 weeks the mean wait should be 13 for a factor of 4
cv_demand	coefficient of variation of time between arrivals
cv_capacity	coefficient of variation between removals due to operations completed

Value

numeric. The capacity required to achieve a target waiting time.

Examples

demand <- 4 # weeks
target_wait <- 52 # weeks

# number of operations per week to have mean wait of 52/4
calc_target_capacity(demand, target_wait)

NHSRwaitinglist documentation built on April 3, 2025, 10:28 p.m.