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NHSRwaitinglistsimulator

This repository is a work in progress.

The aim of the repository is to provide the functionality to simulate waiting lists under user provided assumptions. The main function is the wl_simulator which has the following inputs:

- start_date - the first day to be simulated (this should be in date format)
- end_date - the final day to be simulated (this should be in date format)
- demand - the arrival rate of referrals per unit of time 
- capacity - the number of removals from the waiting list per unit of time 
- waiting_list - the initial waiting list if available. If not available use NULL.
- timebase - the unit of time used in defining demand and capacity. 
        This could be  "day","week","month","quarter" or "annual" and is converted to
        days within the code.
- withdrawal_prob - the probability a waiter leaves the waiting list without
        treatment for example a reneg or death.

Outputs: - Single experiment - a data frame of clock starts (referrals) and clock stops (removals) This data frame can be summarised using the function wl_queue_size() to give the queue length each day of the simulation.

To run an example:

sim <- wl_simulator(start_date = "2026-04-01" , end_date = "2026-07-01" , demand = 10 , capacity = 11 , waiting_list = NULL , timebase = "week" , withdrawal_prob = NA_real_)

Acknowledgements: This code expands upon code initially written in the NHSwaitinglist CRAN package https://github.com/nhs-r-community/NHSRwaitinglist

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