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Car sequencing is NP-hard: a short proof

Author

Listed:
  • B Estellon

    (Université Aix-Marseille 2—Faculté des Sciences de Luminy, Marseille, France)

  • F Gardi

    (Bouygues e-lab, Paris, France)

Abstract

In this note, a new proof is given that the car sequencing (CS) problem is NP-hard. Established from the Hamiltonian Path problem, the reduction is direct while closing some gaps remaining in the previous NP-hardness results. Since CS is studied in many operational research courses, this result and its proof are particularly interesting for teaching purposes.

Suggested Citation

  • B Estellon & F Gardi, 2013. "Car sequencing is NP-hard: a short proof," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(10), pages 1503-1504, October.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:10:p:1503-1504
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    Cited by:

    1. Rui Zhang, 2017. "Environment-Aware Production Scheduling for Paint Shops in Automobile Manufacturing: A Multi-Objective Optimization Approach," IJERPH, MDPI, vol. 15(1), pages 1-32, December.
    2. Pontes, Lara & Neves, Carlos & Subramanian, Anand & Battarra, Maria, 2024. "The maximum length car sequencing problem," European Journal of Operational Research, Elsevier, vol. 316(2), pages 707-717.

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