TY  - 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 .

TY  - JOUR
AU  - Dragović, Branislav
AU  - Meštrović, Romeo
AU  - Zrnić, Nenad
AU  - Dragojević, Dražen
PY  - 2018
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2809
AB  - Pojam specifiičnog odnosa troškova odnosi se na razne tipove troškova broda i luke modelirane kao sistem reda čekanja Koristeći poznatu opštu formulu za specifični odnos troškova (označen sa R), izvodimo odgovarajući izraz za R u odnosu na M/Ek/1 model reda čekanja, gde je Ek (k = 2,3,...) Erlangova k - raspodela verovatnoće. Ovaj izraz nam omogućava da dobijemo teorijski rezultat koji se može primeniti za određivanje optimalnih vrednosti parametra oblika k od Ek uz data ograničenja u odnosu na druge performanse razmatranog lučkog modela teorije redova čekanja. Takođe su predstavljeni odgovarajući numerički i grafički rezultati. Dobijeni rezultati bi mogli biti korisni za buduća istraživanja razmatrane problematike.
AB  - The notion of specific cost ratio involves different type of costs of a ship and a port modeled as a queueing system. Using the known general formula for the specific cost ratio of arbitrary port queueing system (denoted as R), here we derive the related expression for R of the M/Ek/1 queue, where Ek (k = 2,3,...) is the Erlang- k probability distribution. This expression allows us to obtain a theoretical result which can be applied for determining the optimal values of shape parameter k of Ek under given constraints on other performances of the considered port queueing system. The related numerical and the graphical results are also presented. The obtained results would be a useful tool in future research in related subject areas.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Modeliranje specifičnog odnosa troškova u luci sa M/Ek/1 modelom teorije redova čekanja
T1  - Specific cost ratio in a port modelling by M/Ek/1 queue
EP  - 359
IS  - 3
SP  - 355
VL  - 46
DO  - 10.5937/fmet1803355D
ER  - 

@article{
author = "Dragović, Branislav and Meštrović, Romeo and Zrnić, Nenad and Dragojević, Dražen",
year = "2018",
abstract = "Pojam specifiičnog odnosa troškova odnosi se na razne tipove troškova broda i luke modelirane kao sistem reda čekanja Koristeći poznatu opštu formulu za specifični odnos troškova (označen sa R), izvodimo odgovarajući izraz za R u odnosu na M/Ek/1 model reda čekanja, gde je Ek (k = 2,3,...) Erlangova k - raspodela verovatnoće. Ovaj izraz nam omogućava da dobijemo teorijski rezultat koji se može primeniti za određivanje optimalnih vrednosti parametra oblika k od Ek uz data ograničenja u odnosu na druge performanse razmatranog lučkog modela teorije redova čekanja. Takođe su predstavljeni odgovarajući numerički i grafički rezultati. Dobijeni rezultati bi mogli biti korisni za buduća istraživanja razmatrane problematike., The notion of specific cost ratio involves different type of costs of a ship and a port modeled as a queueing system. Using the known general formula for the specific cost ratio of arbitrary port queueing system (denoted as R), here we derive the related expression for R of the M/Ek/1 queue, where Ek (k = 2,3,...) is the Erlang- k probability distribution. This expression allows us to obtain a theoretical result which can be applied for determining the optimal values of shape parameter k of Ek under given constraints on other performances of the considered port queueing system. The related numerical and the graphical results are also presented. The obtained results would be a useful tool in future research in related subject areas.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Modeliranje specifičnog odnosa troškova u luci sa M/Ek/1 modelom teorije redova čekanja, Specific cost ratio in a port modelling by M/Ek/1 queue",
pages = "359-355",
number = "3",
volume = "46",
doi = "10.5937/fmet1803355D"
}

Dragović, B., Meštrović, R., Zrnić, N.,& Dragojević, D.. (2018). Modeliranje specifičnog odnosa troškova u luci sa M/Ek/1 modelom teorije redova čekanja. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 46(3), 355-359.
https://doi.org/10.5937/fmet1803355D

Dragović B, Meštrović R, Zrnić N, Dragojević D. Modeliranje specifičnog odnosa troškova u luci sa M/Ek/1 modelom teorije redova čekanja. in FME Transactions. 2018;46(3):355-359.
doi:10.5937/fmet1803355D .

Dragović, Branislav, Meštrović, Romeo, Zrnić, Nenad, Dragojević, Dražen, "Modeliranje specifičnog odnosa troškova u luci sa M/Ek/1 modelom teorije redova čekanja" in FME Transactions, 46, no. 3 (2018):355-359,
https://doi.org/10.5937/fmet1803355D . .

TY  - JOUR
AU  - Meštrović, Romeo
AU  - Dragović, Branislav
AU  - Zrnić, Nenad
AU  - Dragojević, Dražen
PY  - 2018
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2969
AB  - U ovom radu razmatrani su grupni dolasci kontenera na kontenerskom skladištu koji su modelirani višekanalnim sistemom teorije redova čekanja MX/M/c sa c skladišnih dizalica kao kanalima opsluživanja. Pretpostavljeno je da je veličina grupe kontenera, X (broj kontenera y grupi koja dolazi na kontenersko skladište) distribuirana u skladu sa Puasonovskim tipom raspodele. Koristeći opšti izraz za razmatrani model redova čekanja, izveden je izraz za odnos specifičnih troškova koji sadrži verovatnoće stanja sistema, faktor iskorišćenja sistema, srednju vrednost i disperziju veličine grupe. Primenjujući taj izraz, predstavljeni su odgovarajući numerički i grafički rezultati za 1, 2 i 3 skladišne dizalice na kontenerskom skladištu u luci. Takođe ističemo da dobijeni analitički izraz omogućava diskusiju i poređenje vrednosti odnosa specifičnih troškova razmatranih modela redova čekanja MX/M/c sa različitim parametrima performanse luke, kao i poređenja istih sa odnosom specifičnih troškova u odnosu na redove čekanja istraživanih u prethodnim radovima autora koji se odnose na ovaj problem.
AB  - In this paper we consider batch arrivals of containers at a port container yard which is modeled as a multi-server queue MX/M/c with c yard cranes for the service. It is assumed that the related group size (the number of containers in an arriving group), X is distributed by a Poisson-like distribution. Using a more general formula for such queue models, here it is deduced the expression for the specific cost ratio involving the state probabilities, the utilization factor, the mean and the variance of the group size. Applying this expression, related numerical and graphical results are presented when the number of yard cranes at container yard in port is 1, 2 or 3. We also point out that this expression allows us to discuss and compare the values of specific cost ratio concerning the considered MX/M/c queues with different port performance parameters, as well as with specific cost ratio of the queues investigated in earlier authors' papers on this topic.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Međuzavisnost različitih troškova modeliranja kontenerskih skladišta u luci primenom teorije redova čekanja
T1  - A relationship between different costs of container yard modelling in port using queuing approach
EP  - 373
IS  - 3
SP  - 367
VL  - 46
DO  - 10.5937/fmet1803367M
ER  - 

@article{
author = "Meštrović, Romeo and Dragović, Branislav and Zrnić, Nenad and Dragojević, Dražen",
year = "2018",
abstract = "U ovom radu razmatrani su grupni dolasci kontenera na kontenerskom skladištu koji su modelirani višekanalnim sistemom teorije redova čekanja MX/M/c sa c skladišnih dizalica kao kanalima opsluživanja. Pretpostavljeno je da je veličina grupe kontenera, X (broj kontenera y grupi koja dolazi na kontenersko skladište) distribuirana u skladu sa Puasonovskim tipom raspodele. Koristeći opšti izraz za razmatrani model redova čekanja, izveden je izraz za odnos specifičnih troškova koji sadrži verovatnoće stanja sistema, faktor iskorišćenja sistema, srednju vrednost i disperziju veličine grupe. Primenjujući taj izraz, predstavljeni su odgovarajući numerički i grafički rezultati za 1, 2 i 3 skladišne dizalice na kontenerskom skladištu u luci. Takođe ističemo da dobijeni analitički izraz omogućava diskusiju i poređenje vrednosti odnosa specifičnih troškova razmatranih modela redova čekanja MX/M/c sa različitim parametrima performanse luke, kao i poređenja istih sa odnosom specifičnih troškova u odnosu na redove čekanja istraživanih u prethodnim radovima autora koji se odnose na ovaj problem., In this paper we consider batch arrivals of containers at a port container yard which is modeled as a multi-server queue MX/M/c with c yard cranes for the service. It is assumed that the related group size (the number of containers in an arriving group), X is distributed by a Poisson-like distribution. Using a more general formula for such queue models, here it is deduced the expression for the specific cost ratio involving the state probabilities, the utilization factor, the mean and the variance of the group size. Applying this expression, related numerical and graphical results are presented when the number of yard cranes at container yard in port is 1, 2 or 3. We also point out that this expression allows us to discuss and compare the values of specific cost ratio concerning the considered MX/M/c queues with different port performance parameters, as well as with specific cost ratio of the queues investigated in earlier authors' papers on this topic.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Međuzavisnost različitih troškova modeliranja kontenerskih skladišta u luci primenom teorije redova čekanja, A relationship between different costs of container yard modelling in port using queuing approach",
pages = "373-367",
number = "3",
volume = "46",
doi = "10.5937/fmet1803367M"
}

Meštrović, R., Dragović, B., Zrnić, N.,& Dragojević, D.. (2018). Međuzavisnost različitih troškova modeliranja kontenerskih skladišta u luci primenom teorije redova čekanja. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 46(3), 367-373.
https://doi.org/10.5937/fmet1803367M

Meštrović R, Dragović B, Zrnić N, Dragojević D. Međuzavisnost različitih troškova modeliranja kontenerskih skladišta u luci primenom teorije redova čekanja. in FME Transactions. 2018;46(3):367-373.
doi:10.5937/fmet1803367M .

Meštrović, Romeo, Dragović, Branislav, Zrnić, Nenad, Dragojević, Dražen, "Međuzavisnost različitih troškova modeliranja kontenerskih skladišta u luci primenom teorije redova čekanja" in FME Transactions, 46, no. 3 (2018):367-373,
https://doi.org/10.5937/fmet1803367M . .