A Multi-Objective Model for the Simultaneous Planning Problems: Dock Courtyard Formulations and a Case Study

A Multi-Objective Model for the Simultaneous Planning Problems: Dock Courtyard Formulations and a Case Study

Kallel Lobna (LOGIQ ISGI, University of Sfax, Sfax, Tunisia), Kamoun Hichem (MODELIS FSEG, University of Sfax, Sfax, Tunisia) and Benaissa Mounir (REGIM ENIS, University of Sfax, Sfax, Tunisia)
DOI: 10.4018/978-1-7998-0268-6.ch007

Abstract

This chapter examines two of the most important operational problems in seaport terminals, first, the berth allocation problem (BAP) which finds an optimal assignment of ships to the berths that minimise the total waiting time of all ships. Then we consider the ships containers to storage areas assignment problem (SSAP) which finds an allocation of ship containers to storage area that minimises the travelling time and containers dispersion. In the first step, a mixed integer linear program model is designed to address the BA problem with the aim of minimising the ships stay time in the port (known as the scheduling theory by the flow time). In a second step, the output of the first model is used in another mixed integer linear program model to solve the SSA problem with a view at reducing both travelling time and containers dispersion while satisfying storage capacities for the case where the containers of one ship can be partitioned into two different and consecutive storage area when needed. The experimental part is conducted on a real case, namely the Tunisian port of Radès.
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Literature Review

The substantial increase of international trade dependent on maritime transport, and more particularly containerization, has placed the maritime container shipping industry at the centre of the global economy. Consequently, competition between ports has become fiercer with a view to improving the customer service. Chief among the performance measures of customer service is the berthing time of container carrying ships that accounts for a considerable proportion of its journey (Peter & Kozan, 2001). Shipping lines are mainly concerned with the waiting time and berthing time of the ships at the port. Nevertheless, the docking time for all the ports must be as small as possible to service all the ships efficiently. This will consequently satisfy customer requirements and reduce the costs and congestion in the port (Lee, Cao, Shi & Chen, 2009) as well.

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