Application of theory of semi-Markov processes to determining distribution of probabilistic process of marine accidents resulting from collision of ships

作者：Girtler Jerzy^*

来源：Polish Maritime Research, 2014, 21(1): 9-13.

DOI：10.2478/pomr-2014-0002

• critical manoeuvre
• port
• probability
• semi-Markov process
• sea-going ship

In this paper is presented possible application of the theory of semi-Markov processes to elaborating an eight-state model of the process of occurrence of serviceability state and unserviceability states of sea-going ships making critical manoeuvres during their entering and leaving the ports. In the analysis it was taken into account that sea-going ships are in service for a very long time t (t ->infinity). The model was elaborated to determine the probability (P-0) of correct execution of critical manoeuvres during ship's entering and leaving the port as well as the probabilities P-j(j = 1, 2, 3,..., 7) of incorrect execution of critical manoeuvres by a ship, that leads to marine accidents. It was assumed that such accidents result from: ship's grounding on port approaching fairway, collision with a ship on port approching fairway, collision with a pierhead during passing through port entrance, collision with a hydrotechnical structure during ship's passing through port channels, collision with a port quay during coming alongside it and collision with a ship already moored to the quay. The probability (P-0) was assumed a measure of safe execution of a critical manoeuvre. The probability characterizes possibility of avoiding any collision during ship's entering and leaving the port. The probability P-a = 1 - P-0 was assumed a measure of occurrence of a collsion and - consequently - marine accident. The probability P-a was interpreted as a sum of the probabilities P-j(j = 1, 2, 3, ..., 7) of occurrence of all the selected events. In summing up the paper, attention was drawn to its merits which - in opinion of this author - are crucial for research on real process of accidents during entering the port and leaving it by sea-going ship in difficult navigation conditions.

• 出版日期2014