码头起重机调度问题的np -完备性

Artificial intelligence and applications (Commerce, Calif.) Pub Date : 2022-10-29 DOI:10.5121/csit.2022.121802

A. Skaf, Samir Dawaliby, Arezki Aberkane

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摘要

本文讨论了港口码头起重机调度问题的计算复杂度。为了证明一个问题是np完全的，不应该有精确解的多项式时间算法，而只能使用启发式方法在合理的时间复杂度下获得接近最优解。为了解决这个问题，我们首先将QCSP表述为一个混合整数线性规划来求解到最优，然后我们从理论上证明了所检查的问题是np完全的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The NP-Completeness of Quay Crane Scheduling Problem

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.

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Artificial intelligence and applications (Commerce, Calif.)

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