The NP-completeness of quay crane scheduling problem

octobre 2022
CESI - Hors LINEACT
Communications avec actes dans un congrès international
Auteurs : Ali SKAF (FEMTO-ST)
Conférence : CS & IT Conference Proceedings, 28 octobre 2022

This paper discusses the computational complexity of the quay crane scheduling problem (QCSP) in a maritime port. To prove that a problem is NP-complete, there should be no polynomial time algorithm for the exact solution, and only heuristic approaches are used to obtain near-optimal solutions but in reasonable time complexity. To address this, first we formulate the QCSP as a mixed integer linear programming to solve it to optimal, and next we theoretically prove that the examined problem is NP-complete.