A Bi-Objective Optimization for Integrated Berth Allocation and Quay Crane Assignment With Preventive Maintenance Activities

Abstract

Growing global trade brings an increasing challenge to intelligent maritime transportation, which is an important branch of the intelligent transportation system. Developing efficient technologies to improve the performance of intelligent maritime transportation is especially important. Most existing works for integrated berth allocation and quay crane assignment assume that all the equipment is available over the time horizon, however, there exists frequently time-consuming quay crane maintenance activities in the maritime port. It is recognized that maintenance activities can impact the loading/unloading activities. In this paper, we study a new bi-objective optimization model of integrated berth allocation and quay crane assignment with preventive quay crane maintenance activities. The two objectives are minimizing the total turnaround time of vessels and the total penalty cost of quay crane maintenance earliness and tardiness. For the considered problem, an appropriate integer linear programming model is formulated, and an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula> -constraint-based two-phase iterative heuristic is designed based on the characteristics of our problem. Computational results on a case study and randomly generated instances show the efficiency of the proposed algorithm.