Vessel passage speed is one of the parameters describing the vessel traffic stream on a selected waterway. Knowing the probability distribution of vessel passage speeds is essential for modeling vessel traffic streams on a waterway. This article undertakes probabilistic modeling for vessel speeds in restricted areas, where the distribution of the vessel passage time of the waterway section is known. The probabilistic procedure of the inverse random variable is used. Four different cases are considered. First, the probabilistic distribution of the vessel passage speed is given, where the vessel passage time is described by the normal distribution in certain restricted areas. The next three cases present the probabilistic distribution of vessel passage speeds on the Szczecin–Świnoujście fairway, where the vessel passage time is described by the extreme value distribution, the Frèchet distribution and the Weibull distribution.

In this paper the hypothesis about Poissonian character of vessel traffic stream from Świnoujście to Szczecin has been verified. And the hypothesis about Non-Poissonian character of vessel traffic stream from Szczecin to Świnoujście has been verified. To reach this goal, VTS data from second half of 2009 has been used. To description of non- Poissonian vessel traffic stream, for the first time, mixed distributions have been use

In convolution method of the determination of vessel traffic stream parameters, it is indispensable to know the distribution of braking time. In this paper, on base of simulations trials, the fitting the type of the probability distribution to data of vessel braking times has been done. To achieve this goal the chi square Pearson test has been use

This article verifies a hypothesis about Poissonian character of vessel traffic stream, disturbing ferry traffic. Based on data from an AIS system, the probability distribution of time between traversing a line of ferry crossing by successive vessels of traffic stream has been determined. Data for four ferry routes in the southern Baltic Sea, have been considered. To test the hypothesis about the form of distribution, the chi square Pearson test has been use

The present article concerns a problem of vessel speed modeling in restricted areas, where vessel traffic flow is disturbed. In analysis of vessel speed on the Świnoujście–Szczecin fairway, division into the particular ship types has been made. Probability distributions describing speed of different ship groups have been analysed. Using the chi-square goodness-of-fit test it has been showed that the best distribution describing vessel speed of the most ship groups, is the Gumbel distribution

In this paper the leading function of a stream of fairway vessel reports has been de-termined. The discrete form of the leading function has been determined for three vari-ants: “multiweekly”, weekly and daily. For the latter the reports of ships passing the VTS reporting line “Police” on the Szczecin – Świnoujście fairway have been utilized

The author has determined boundary velocities of a ferry which guarantee a safe crossing of the intersection. These velocities have been calculated for each point of the intersection. This idea is based on the concepts of the vessel’s domain at the intersection. A field of ferry velocities makes it possible to construct a control area of entry into the intersection.

The author has tested a hypothesis concerning the exponential distribution of the waiting times for the reporting of the next fairway vessel in the y Szczecin – Świnoujście fairway. The “chi square” Pearson test has been used. The relevant 2002 data have been examined in three sets: for weekdays, for holidays and for days immediately preceding or following holidays (“near-holidays”).

The set of dates and hours of ship reports is a time series. In this paper, reports of ships passing the VTS reporting line “Police”, in the Szczecin – Świnoujście fairway have been considered. The paper is a detailed analysis of this time series. The cyclical variation and trends for each month and the whole year 2002 have been determined.

This paper presents an idea of probability estimation of navigational safety on the intersection of narrow fairways. It is based on the concepts of the vessel's domain at the intersection. The optimal speed of the subordinate ship, which guarantees safe crossing through the intersection, has been determined.

Search patterns and procedures contained in the International Aeronautical and Maritime Search and Rescue Manual for Mobile Facilities meet the requirements of theoretical assumptions about search and rescue operations. But the individual manoeuvrability characteristics of a search vessel cause real search and rescue operations to differ from theoretical patterns. This article analyses the difference between theoretical and actual search regions in a Diagram of an Expanding Square Search. Different variants of parameters of ship manoeuvrability have been considered. Some solutions modifying the Diagram of Expanding Square Search are proposed by the authors.

Ensuring security in a harbor requires research into its infrastructure using spatial environmental data. This paper presents a methodology that defines the design of a graph for modeling the interactions between surface currents and moving objects. Combining this graph with port charts that integrate electronic navigation charts with coastal orthophotographs allows us to perform a multidimensional analysis. In addition, the complete information about navigation and harbor infrastructure allows us to predict the effects of currents on objects that are moving in the dock. The capabilities of this application were tested in the Gdynia harbor and the defined graph is based on sea currents generated by the numerical hydrodynamic model M3D.

The present article addresses the issue of crossing time on the fairway, modeling in restricted areas, where vessel traffic flow is disturbed. Data of movement time on the Świnoujście–Szczecin fairway was grouped according to ship type. The probability distributions describing the crossing time of different ship groups were analyzed. Using the Pearson chi-square goodness-of-fit and Cramer–von Mises tests it has been shown that the best distributions describing traffic time of all ship groups are the generalized extreme value distri- butions.

Przedstawiono opracowany przez autora model matematyczny ruchu statków na skrzyżowaniu przeprawy promowej z torem wodnym. Podstawą modelu jest pojęcie domeny statku. Zastosowano domenę prostokątną i analizując pewne szczególne sytuacje na skrzyżowaniu, wyznaczono strefy niebezpieczeństwa dla przeprawy promowej. Model zbudowano przy założeniu, że prom podczas przejścia przez skrzyżowanie nie wykonuje manewrów antykolizyjnych

Przedstawiono konstrukcję stref niebezpieczeństwa na przeprawie promowej, opartą na pojęciu domeny statku na skrzyżowaniu. Rozpatrzono cztery sytuacje graniczne - momenty największego zbliżenia domen przy przejściu promu za rufą lub przed dziobem jednostki torowej. Następnie wyznaczono odległości graniczne, w jakich zawierają się strefy niebezpieczeństwa.

Przedstawiono model przeprawy promowej przecinającej tor wodny pod pewnym a W modelu wykorzystano pojęcie domeny eliptycznej Wyznaczono strefy toru Rodnego dla poszczególnych jednostek torowych, które pozwalają operatorowi systemu vessel Traffic Service - VTS na bezpieczne kierowanie ruchem na przeprawie, gdzie ruch poprzeczny jest podporządkowany ruchowi wzdłużnemu na torze. Określono równej zależność między przepustowością przeprawy, a intensywnością ruchu jednostek torowych

Podjęto próbę opisu przeprawy promowej w poprzek toru wodnego, wykorzystując w tym celu pojęcie domeny. Założono ponadto istnienie systemu nadzoru ruchu statków - VTS (Vessel Traffic System). Następnie oszacowano prawdopodobieństwo tego, źe możliwy jest bezpieczny ruch promów pomiędzy trawersowaniem linii przeprawy przez kolejne jednostki torowe.

The paper analyzes the influence of air mass movement on moving (the leeway) surface water in the Świnoujście– Szczecin fairway region on the Szczecin Lagoon. The Szczecin Lagoon includes waters of the Odra River estuary (Poland’s second largest river) and the southern Baltic Sea. To calculate the leeway parameters, a relevant surface drifter was outlined and constructed. The data on the leeway of the drifter was obtained from in-situ experiments conducted on the Szczecin Lagoon in the summer of 2018. In turn, the air mass movement data was recorded at meteorological stations in Trzebież and Świnoujście. A statistical analysis of the leeway parameters of the drifter was also presented. Distributions of the leeway and wind speeds in the Świnoujście– Szczecin fairway regions were established. Moreover, linear regressions between the leeway and wind parameters were performed by decomposing the leeway into its downwind and crosswind components for each 10-minute sample. It is worth highlighting that relationships between these components of the leeway and wind parameters were studied for weak, medium, and stronger winds. This research may be useful for increasing navigation safety in the Świnoujście–Szczecin fairway regions on the Szczecin Lagoon.

The definition of dynamic areas of searching for shipwrecks, and/or the movement of pollution across waters of Szczecin Lagoon first requires the knowledge and specification of hydro-meteorological conditions across the area. This article compares wind parameters from various sources of meteorological stations located close to Szczecin Lagoon. The wind speed and direction were obtained from Ueckermuende, I Brama Torowa (Urząd Morski Szczecin), and Kopice (wind meter of Szczecin Maritime Academy). Wind direction data analysis was based on directional statistics methods and tools.