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The container activities take a big role in running a business at the port whereby the stakeholder of maritime business have to put more attention to it, for example, the importance of the scheduling pick up of containers in the field. One of several problems that may occurs on the scheduling pick up of containers is the waiting time from the container that will be served because the crane which is used for pickup of container still carry another container. Besides, each of the container owner has its own consideration for the scheduling pick up of containers that may have differences from other container owner. Those things make port management team has to give the best service on the pickup of the containers within optimal service time. The aim of this research is to acquire the optimal scheduling time for container pickup. This research results a mathematical model that can be used on the next cases of scheduling pick up of containers. The development of mathematical model begin with calculation of the weight of importance from two port stakeholders : the port management team and the owner of container(s). In addition, the weight of importance has to be counted on each container with consideration of this 5 (five) influental factors : the level of urgency, container load, container rental fees, the fragility level of goods inside container, and price of goods inside container. The numeric data of 5 (five) influental factors of each container is used as the input data on the developed mathematical model whereby uses Either-or Constraints and Integer Programming methods. Besides, the objective function that is used on the mathematical model consists of the time of pickup of each container.