# computeExpectedRunningTime: Compute the Expected Running Time (ERT) performance measure. In smoof: Single and Multi-Objective Optimization Test Functions

## Description

The functions can be called in two different ways

• 1. Pass a vector of function evaluations and a logical vector which indicates which runs were successful (see details).

• 2. Pass a vector of function evaluation, a vector of reached target values and a single target value. In this case the logical vector of option 1. is computed internally.

## Usage

 ```1 2 3``` ```computeExpectedRunningTime(fun.evals, fun.success.runs = NULL, fun.reached.target.values = NULL, fun.target.value = NULL, penalty.value = Inf) ```

## Arguments

 `fun.evals` [`numeric`] Vector containing the number of function evaluations. `fun.success.runs` [`logical`] Boolean vector indicating which algorithm runs were successful, i. e., which runs reached the desired target value. Default is `NULL`. `fun.reached.target.values` [`numeric` | `NULL`] Numeric vector with the objective values reached in the runs. Default is `NULL`. `fun.target.value` [`numeric(1)` | `NULL`] Target value which shall be reached. Default is `NULL`. `penalty.value` [`numeric(1)`] Penalty value which should be returned if none of the algorithm runs was successful. Default is `Inf`.

## Details

The Expected Running Time (ERT) is one of the most popular performance measures in optimization. It is defined as the expected number of function evaluations needed to reach a given precision level, i. e., to reach a certain objective value for the first time.

## Value

[`numeric(1)`] Estimated Expected Running Time.

## References

A. Auger and N. Hansen. Performance evaluation of an advanced local search evolutionary algorithm. In Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2005), pages 1777-1784, 2005.

smoof documentation built on Aug. 14, 2017, 5:02 p.m.