A multi-server queuing model study of specific cost ratio in a port
Апстракт
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/n(b)/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/n(b)/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.
Кључне речи:
traffic intensity / specific cost ratio / port / optimal interval / M/M/n(b)/k queue / finite waiting areasИзвор:
Tehnički vjesnik, 2013, 20, 5, 781-786Издавач:
- Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Meštrović, Romeo AU - Dragović, Branislav AU - Zrnić, Nenad AU - Škurić, M. PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1793 AB - 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/n(b)/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/n(b)/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. PB - Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek T2 - Tehnički vjesnik T1 - A multi-server queuing model study of specific cost ratio in a port EP - 786 IS - 5 SP - 781 VL - 20 UR - https://hdl.handle.net/21.15107/rcub_machinery_1793 ER -
@article{ author = "Meštrović, Romeo and Dragović, Branislav and Zrnić, Nenad and Škurić, M.", year = "2013", 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/n(b)/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/n(b)/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.", publisher = "Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek", journal = "Tehnički vjesnik", title = "A multi-server queuing model study of specific cost ratio in a port", pages = "786-781", number = "5", volume = "20", url = "https://hdl.handle.net/21.15107/rcub_machinery_1793" }
Meštrović, R., Dragović, B., Zrnić, N.,& Škurić, M.. (2013). A multi-server queuing model study of specific cost ratio in a port. in Tehnički vjesnik Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek., 20(5), 781-786. https://hdl.handle.net/21.15107/rcub_machinery_1793
Meštrović R, Dragović B, Zrnić N, Škurić M. A multi-server queuing model study of specific cost ratio in a port. in Tehnički vjesnik. 2013;20(5):781-786. https://hdl.handle.net/21.15107/rcub_machinery_1793 .
Meštrović, Romeo, Dragović, Branislav, Zrnić, Nenad, Škurić, M., "A multi-server queuing model study of specific cost ratio in a port" in Tehnički vjesnik, 20, no. 5 (2013):781-786, https://hdl.handle.net/21.15107/rcub_machinery_1793 .