# Time optimal car problem

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Time optimal car problem | |
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State dimension: | 1 |

Differential states: | 2 |

Continuous control functions: | 1 |

Path constraints: | 6 |

Interior point equalities: | 4 |

The Time optimal car problem "consists of starting and stopping a car in minimum for a fixed distance (300 units)" and can be found e.g. in [Cuthrell1987]The entry doesn't exist yet. and [Logsdon1992]**Author: ** *Logsdon, J.S.; L.T. Biegler***Journal: ** *Chemical Engineering Science***Number: ** *4***Pages: ** *851--864***Title: ** *Decomposition strategies for large-scale dynamic optimization problems***Volume: ** *47***Year: ** *1992*

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## Mathematical formulation

where .

## Source Code

Model descriptions are available in

- AMPL/TACO code at Time optimal car problem (TACO)
- GEKKO Python code at Time optimal car problem (GEKKO)

## References

[Cuthrell1987] | The entry doesn't exist yet. | |

[Logsdon1992] | Logsdon, J.S.; L.T. Biegler (1992): Decomposition strategies for large-scale dynamic optimization problems. Chemical Engineering Science, 47, 851--864 |