On Specific Cost Ratio in a Port Modelled as M /G/1 Queue
Апстракт
In this paper we deduce related expression for the specific cost ratio
concerning the M /G/1 queue using the known general expression for
the specific cost ratio and the Pollaczek–Khintchine formula for the
M /G/1 queue. Moreover, we also present related numerical and
graphical results including the cases concerning the M /M /1 and
M / D/1 queues. The deduced formula gives a possibility for
comparison of values of specific cost ratio of different M /G/1 type
queues. The corresponding optimization is considered in the sense of
minimization of values of the appropriate specific cost ratio under some
constraints to the values (the utilization factor). The proposed method
is exposed by some numerical experiments.
Кључне речи:
Specific cost ratio in port / M /G/1 queue / Pollaczek– Khintchine formula / Utilization factorИзвор:
Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019, 2019, 200-203Издавач:
- SaTCIP
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Meštrović, Romeo AU - Dragović, Branislav AU - Zrnić, Nenad AU - Dragojević, Dražen AU - Popović, Marko PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5452 AB - In this paper we deduce related expression for the specific cost ratio concerning the M /G/1 queue using the known general expression for the specific cost ratio and the Pollaczek–Khintchine formula for the M /G/1 queue. Moreover, we also present related numerical and graphical results including the cases concerning the M /M /1 and M / D/1 queues. The deduced formula gives a possibility for comparison of values of specific cost ratio of different M /G/1 type queues. The corresponding optimization is considered in the sense of minimization of values of the appropriate specific cost ratio under some constraints to the values (the utilization factor). The proposed method is exposed by some numerical experiments. PB - SaTCIP C3 - Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019 T1 - On Specific Cost Ratio in a Port Modelled as M /G/1 Queue EP - 203 SP - 200 UR - https://hdl.handle.net/21.15107/rcub_machinery_5452 ER -
@conference{ author = "Meštrović, Romeo and Dragović, Branislav and Zrnić, Nenad and Dragojević, Dražen and Popović, Marko", year = "2019", abstract = "In this paper we deduce related expression for the specific cost ratio concerning the M /G/1 queue using the known general expression for the specific cost ratio and the Pollaczek–Khintchine formula for the M /G/1 queue. Moreover, we also present related numerical and graphical results including the cases concerning the M /M /1 and M / D/1 queues. The deduced formula gives a possibility for comparison of values of specific cost ratio of different M /G/1 type queues. The corresponding optimization is considered in the sense of minimization of values of the appropriate specific cost ratio under some constraints to the values (the utilization factor). The proposed method is exposed by some numerical experiments.", publisher = "SaTCIP", journal = "Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019", title = "On Specific Cost Ratio in a Port Modelled as M /G/1 Queue", pages = "203-200", url = "https://hdl.handle.net/21.15107/rcub_machinery_5452" }
Meštrović, R., Dragović, B., Zrnić, N., Dragojević, D.,& Popović, M.. (2019). On Specific Cost Ratio in a Port Modelled as M /G/1 Queue. in Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019 SaTCIP., 200-203. https://hdl.handle.net/21.15107/rcub_machinery_5452
Meštrović R, Dragović B, Zrnić N, Dragojević D, Popović M. On Specific Cost Ratio in a Port Modelled as M /G/1 Queue. in Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019. 2019;:200-203. https://hdl.handle.net/21.15107/rcub_machinery_5452 .
Meštrović, Romeo, Dragović, Branislav, Zrnić, Nenad, Dragojević, Dražen, Popović, Marko, "On Specific Cost Ratio in a Port Modelled as M /G/1 Queue" in Proceedings of the Maritime and Port Logistics of the XXIII International Conference MHCL 2019 (2019):200-203, https://hdl.handle.net/21.15107/rcub_machinery_5452 .