Stochastic model of deteriorating cargo transshipment at port’s terminal under irregular arrival of ships

¹ West Pomeranian University of Technology, Szczecin, Faculty of Marine Technology and Transport, al. Piastów 17, 70310 Szczecin, Poland
² Odessa National Maritime University, Department of Management, Marketing, and Logistics, Mechnikov Str. 34, 65029 Odessa, Ukraine

^* Corresponding author: ludmila.filina@zut.edu.pl

Abstract

In the article the stochastic model is analyzed for deteriorating cargo transshipment taking into account the irregularity of arrived ships movement and cargo removing from warehouse with the regular surface transport. It is assumed that unloading rate of ships is given and fixed, but hold capacities of ships are randomly varying. During storage the cargo is subjected to deterioration with the given intensity. The problem of stationary probabilistic joint distribution of number of ships in terminal and quantity of cargo in warehouse is investigated. For this purpose the theory of Markov drift processes and methods of queueing theory are used. The problem of optimal value of deterioration rate is formulated and solved.