calc_relief_capacity: Relief Capacity

In NHSRwaitinglist: Waiting List Metrics Using Queuing Theory

Relief Capacity

Description

Calculates required relief capacity to achieve target queue size in a given period of time as a function of demand, queue size, target queue size and time period. Relief Capacity is required if Queue Size > 2 * Target Queue Size.

Relief Capacity = Current Demand + (Queue Size - Target Queue Size)/Time Steps

WARNING!: make sure units match. I.e. if demand is measured per week then time_to_target should be weeks or if demand is per day then time_to_target is per day

Usage

calc_relief_capacity(
  demand,
  queue_size,
  target_queue_size,
  time_to_target = 26,
  num_referrals = 0,
  cv_demand = 0
)

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.
queue_size	Numeric value of current number of patients in queue.
target_queue_size	Numeric value of desired number of patients in queue.
time_to_target	Numeric value of desired number of time-steps to reach the target queue size by.
num_referrals	Numeric value of the number of referrals per time step.
cv_demand	To be completed

Value

A numeric value of the required rate of capacity to achieve a target queue size in a given period of time.

Examples

# If demand is 30 patients per week, the current queue size is 1200 and the
# target is to achieve a queue size of 390 in 26 weeks, then

# Relief Capacity = 30 + (1200 - 390)/26 = 61.15 patients per week.

calc_relief_capacity(30, 1200, 390, 26)

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