Linear programming solution to steady state optimisation

Usage

optimise_steady_state_lp(
  renege_params,
  referrals,
  gamma,
  percentile,
  theta,
  s_given
)

renege_params: numeric; proportion (0 ≤ r_m &leq; 1) of waiting patients reneging in the m-th month of waiting, where r₂ = 0.1 refers to 10% of those in the second month of waiting reneging.
referrals: numeric of length 1; value representing the steady-state number of referrals.
gamma: numeric vector, length equal to length(renege_params); must take values between 0 and 1. Vector represents the proportion of the corresponding compartment that the `percentile` target refers. For example, if the data has five compartments and the target percentile was at exactly 3.5 months, the corresponding vector would be c(1, 1, 1, 0.5, 0, 0)
percentile: numeric value between 0 and 1 indicating the desired percentile (default is 0.92).
theta: numeric value of length 1, must be a value between 0 and 1 which is equal to the proportion of all departures that are reneges
s_given: numeric vector, length equal to length(renege_params); values must be between 0 and 1 and must represent the proportion of total treatments that are applied to each compartment. This is used as a constraint in the optimisation and the output should follow the same profile