Abstract

In the Multi-tier Shuttle Warehousing System (MSWS), shuttles are responsible for horizontal movements and lifts are responsible for vertical movements. In this paper, a retrieval task scheduling problem for a tier-captive MSWS under single command cycle is considered. This paper aims to determine the sequence of retrieval tasks to minimize the makespan. A mixed integer programming model is developed for the retrieval task scheduling problem. When the number of tasks is less than 10, the mixed integer programming model can be solved by the GUROBI solver to find the exact solutions within a short period. Moreover, a tabu search algorithm, an ant colony algorithm and a simulated annealing algorithm are designed and applied to solve large size problems with up to 200 tasks. By analyzing experimental results, the ant colony algorithm shows stable and superior performance in solving large size problems.

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