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Original scientific paper

A multi-server queuing model study of specific cost ratio in a port

Romeo Meštrović ; University of Montenegro, Maritime Faculty, Dobrota 36, 85330 Kotor, Montenegro
Branislav Dragović ; University of Montenegro, Maritime Faculty, Dobrota 36, 85330 Kotor, Montenegro
Nenad Dj. Zrnić orcid id orcid.org/0000-0002-0078-7275 ; University of Belgrade, Faculty of Mechanical Engineering, Department of Material Handling, Construction and Logistics, Kraljice Marije 16, 11000 Belgrade, Serbia
Maja Škurić ; University of Montenegro, Maritime Faculty, Dobrota 36, 85330 Kotor, Montenegro


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Abstract

In this paper we establish an analytic method for determining the optimal number of berths in a port with finite waiting areas modelled by M/M/nb/k queue in the sense of minimization of the related specific cost ratio. Using the general formula for specific cost ratio, we derive a related expression of the M/M/nb/k queue. In particular, we present the optimal intervals for specific cost ratio and optimal number of berths under condition that the number of waiting areas is fixed. Related numerical results and computational experiments are presented.

Keywords

finite waiting areas, M/M/nb/k queue, optimal interval, port, specific cost ratio, traffic intensity

Hrčak ID:

109785

URI

https://hrcak.srce.hr/109785

Article data in other languages: croatian

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