Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 710834, 19 pages
Research Article

Mathematical Models of Multiserver Queuing System for Dynamic Performance Evaluation in Port

1Maritime Faculty, University of Montenegro, Dobrota 36, 85330 Kotor, Montenegro
2School of Port and Logistics, Tongmyong University, Busan 608-711, Republic of Korea
3Faculty of Mechanical Engineering, University of Belgrade, 11000 Belgrade, Serbia

Received 19 November 2010; Accepted 29 August 2011

Academic Editor: Horst Ecker

Copyright © 2012 Branislav Dragović et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We discuss dynamic system performance evaluation in the river port utilizing queuing models with batch arrivals. The general models of the system are developed. This system is modelled by 𝑀 𝑋 / 𝑀 / 𝑛 / 𝑚 queue with finite waiting areas and identical and independent cargo-handling capacities. The models are considered with whole and part batch acceptance (or whole and part batch rejections) and the interarrival and service times are exponentially distributed. Results related to the batch blocking probability and the blocking probability of an arbitrary vessel in nonstationary and stationary states have been obtained. Numerical results and computational experiments are reported to evaluate the efficiency of the models for the real system.