Scheduling double-track gantry cranes to minimize the overall loading/ unloading time

Author:

Wang Jie1,Chen Guangting2,Xuan Xinle3,Zhang An3,Chen Yong3,Wang Yuehuan4,Zhang Hecheng3

Affiliation:

1. School of Electronics and Information Engineering, Taizhou University, Linhai 317000, P. R. China

2. Zhejiang University of Water Resources and Electric Power, Zhejiang, Hangzhou 310018, P. R. China

3. Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, P. R. China

4. School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P. R. China

Abstract

In this paper, we consider the gantry crane scheduling problem at a single storage block where a total of [Formula: see text] gantry cranes are mounted on double tracks so that cranes on different tracks can pass each other while those on the same track cannot. Containers at the storage block are divided into bays and each bay of containers has to be loaded/unloaded together due to the same shipping destination or the same customer. To minimize the overall loading/ unloading time of containers, we first formulate the problem to a mixed integer linear programming (MILP) model, and compute the optimal solutions of small instances by the Gurobi solver. Then we design several heuristic algorithms and test their efficiency and performance by a series of large instances. In particular, we present a polynomial time approximation algorithm for the case where all but one gantry crane is mounted on the same track. We show that the algorithm has a worst case ratio of [Formula: see text], outperforming the partition-based algorithms in the single-track scenario.

Funder

Fundamental Research Funds for the Provincial Universities of Zhejiang

Zhejiang Provincial NSF

NSFC

Publisher

World Scientific Pub Co Pte Ltd

Subject

Management Science and Operations Research,Management Science and Operations Research

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