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.
Highlights
The port terminals are the most important sections of transportation logistics chains, in which there takes place interaction of traffic streams of related types of transport
We will take the following designations: terms of the inventory theory and queueing theory (QT) with taking into conν(t) – number of ships that are in a terminal in the moment of time t; ships and transport units (TU); ξ(t) – amount of cargo that are in a storehouse in the
A work of a port terminal is described in the terms of the theory of inventory and QT with taking into consideration of irregularity of arrival of TU with a cargo and empty ships in assumption of unlimited capacity of a front of unloading
Summary
The port terminals are the most important sections of transportation logistics chains, in which there takes place interaction of traffic streams of related types of transport. The stated capacity is determined by numerical values of characteristics of the main technological elements of a terminal, namely: moorages, storehouses, unloaders, access roads and etc. The inventory theory makes it possible to give correct assessment of a level of expected reserves of cargoes in a storehouse of a terminal and to determine its necessary capacity, to give scientific grounds for a value of operation load on structural elements of moorage constructions and to improve its reliability. While examination of a problem of formal description of a port terminal in terms of the stated theories there remain many unsolved tasks that relate to finding of key dependence of the main characteristics of technological elements on characteristics of incoming streams of TU. The mentioned problem is urgent for a theory and practice of projection of port terminals, and solving of theoretical difficulties that occur during it requires non-trivial special researches
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
