A method of determination of port terminal capacity under irregular cargo delivery and pickup

Authors

  • Mykhaylo Postan Odessa National Maritime University Mechnikova str., 34, Odesa, Ukraine, 65029, Ukraine https://orcid.org/0000-0003-4891-3063
  • Lyudmyla Kushnir Odessa National Maritime University Mechnikova str., 34, Odesa, Ukraine, 65029, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2016.76285

Keywords:

a port terminal, a capacity, irregularity of delivery and pickup of cargoes, service system

Abstract

There was built up and analyzed a stochastic model of a work of a port terminal that takes into consideration irregularity of delivery and pickup of a cargo. It is supposed that a terminal consists of n interchangeable moorages, in which there is carried out loading to ships. The ships arrive to a terminal to take a cargo independently on each other, their total number is equal to N. Time from departure of any loaded ship to the moment of its arrival to a terminal is a random variable  that is distributed according to the exponentional law. All cargoes, that come to a terminal with a help of land transport, are immediately unloaded to a storehouse. It is supposed that a stream of incoming cargoes is described with a model of the compound Poisson process with zero drift. From a storehouse cargoes are loaded to any shipl that is in a moorage, with the rate W. With use of non-standard type of the Markov process with drift for finding of limit join distribution of number of ships, that are in moorages, and amount of cargo, that is in a storehouse, there is got a system of integral-differential equations together with relevant boundary conditions. There is given a method of solving of this boundary-value problem, that is based on use of the Laplace-Stieltjes transformation for getting of a solution in a closed form. It gives a possibility to get simple calculation formulae for assessment of indices of capacity of a terminal: the average number of ships in moorages, the average amount of cargo in a storehouse, possibility of demurrage of ships because of absence of cargoes in a storehouse and etc. There are given examples of practical use of the got theoretical results, namely: a method of calculation of necessary capacity of a storehouse, assessment of a term of recoupment of a project of construction of a terminal. They showed that the worked out method of calculation of capacity of a port terminal in conditions of irregularity of a work of transport can be used in project calculations.

Author Biographies

Mykhaylo Postan, Odessa National Maritime University Mechnikova str., 34, Odesa, Ukraine, 65029

Doctor of Economic Sciences, Professor, Head of Department

Department “Management & Marketing in Marine Transport”

Lyudmyla Kushnir, Odessa National Maritime University Mechnikova str., 34, Odesa, Ukraine, 65029

PhD, Senior Lecturer

Department “Management & Marketing in Marine Transport”

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Published

2016-08-31

How to Cite

Postan, M., & Kushnir, L. (2016). A method of determination of port terminal capacity under irregular cargo delivery and pickup. Eastern-European Journal of Enterprise Technologies, 4(3(82), 30–37. https://doi.org/10.15587/1729-4061.2016.76285

Issue

Vol. 4 No. 3(82) (2016): Control processes

Section

Control processes

License

Copyright (c) 2016 Mykhaylo Postan, Lyudmyla Kushnir

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