海運在國際物流中扮演著重要的角色，對於定期船運公司而言，如何增加船舶利用率、降低成本及提高收益是十分重要的議題。而重櫃運送及空櫃調度則常是分屬不同部門管理，實務上除非櫃務部門提出空櫃運送需求，否則空櫃皆是等到有剩餘艙位才思考是否運送，時常有累積過多貨櫃的情況發生，此情形對於船公司造成浪費。因此，本文以最大化利潤為目標建構一數學模型，探討各起迄對重櫃艙位數量分配及空櫃數量調度，並將租櫃、還櫃及各港口持有貨櫃納入模型，希藉此提高運具之使用率及公司的利潤。本研究首先設計一簡單情境來測試所建構之數學模型確認其處理效能及適用性，再以某航商往返遠東及美西區之航線為例，進行相關分析，找出各情況下之最適運量。

Ocean shipment plays an important role in international trade and internationallogistics. How to improve revenue, reduce cost and improve utilization of ships hasa significant impact to the liner shipping industry. For the liner shipping industry,slot allocation problems of loaded container and empty container usually are notconsidered at the same time. If a container department wants to ship emptycontainers, they need to find unused slots. Sometimes the container department hasto ship empty containers by using an empty container ship. This situation is usuallyincreases cost for liner shipping industry. This research discusses slot allocationtransportation problems by considering container loading, container emptying,container renting, container returning and container holding by constructing amathematic model. Two examples are developed to illustrate the mathematic model.The first only considers the program with six ports and one liner. The secondexample elaborates the details of a liner which operates routes between Far East andthe west coast of the U.S. Several scenarios are discussed and the correspondingcomputational results are presented.