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Performance parameters of a terminal service operation in port can be determined using numerous methods available in the literature. The terminal service operations mostly anaytically modelled based on queueing theory formulation, fuzzy methods or game theory approach. In some cases, simulation models frequently used to get deeper and more details performance measures of the system. In this paper, we use analytical matrix algebraic approach to represent terminal operation and customer’s service system in port. In this approach, we try to make broader disaggregation of customer’s type in the system, based on customer service time and customer’s service cost. Our model is amenable, especially when waiting time was considered costly for a part of customer, whereas others concern mostly on service cost. Our model has been proved satisfied to analyze service operation for liquid terminal handling CPO cargo in Port of Dumai, Indonesia. Further applications of the model are open for similar service system.

Modeling Liquid Terminal Operation and Service System in a Port Using Linier Matrix Algebraic Approach