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Tytuł:
Transient and stationary characteristics of a packet buffer modelled as an MAP/SM/1/b system
Autorzy:
Rusek, K.
Janowski, L.
Papir, Z.
Powiązania:
https://bibliotekanauki.pl/articles/330560.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
router interface
Markovian arrival process
semi Markov service time
hidden Markov model
finite buffer queue
packet loss
first passage time
proces Markowiana
model Markowa niejawny
utrata pakietu
Opis:
A packet buffer limited to a fixed number of packets (regardless of their lengths) is considered. The buffer is described as a finite FIFO queuing system fed by a Markovian Arrival Process (MAP) with service times forming a Semi-Markov (SM) process (MAP/SM/1/b in Kendall’s notation). Such assumptions allow us to obtain new analytical results for the queuing characteristics of the buffer. In the paper, the following are considered: the time to fill the buffer, the local loss intensity, the loss ratio, and the total number of losses in a given time interval. Predictions of the proposed model are much closer to the trace-driven simulation results compared with the prediction of the MAP/G/1/b model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 429-442
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The semi-Markov model of the process of appearance of sea-going ship propupsion system ability and inability states in application to determining the reliablity of these systems
Autorzy:
Girtler, J.
Powiązania:
https://bibliotekanauki.pl/articles/259071.pdf
Data publikacji:
2013
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
reliability
semi-Markov process
state of ability
state of inability
sea-going ship
ship propulsion system
Opis:
The article presents possible application of the theory of semi-Markov processes in creating the eight-state model of the process of appearance of the propulsion systems ability and inability states on sea-going vessels performing transportation tasks in a relatively long operating time t (t → ∞). The model has been proved to be able to be successfully used for determining the reliability of the abovementioned systems. The probability of faultless operation in time t was assumed the measure of system reliability. Operating situations of sea-going vessels were characterised, with special attention being paid to the fact that the loads of propulsion system components of these vessels are of random nature. These loads lead to damages which for this reason were also considered random events. It was also assumed that the damages provoke the appearance of states of inability of particular ship propulsion system components which means that these states are random events as well. The states of ability of a given ship propulsion system have been assumed to exist when all components of this system are in the state of ability. In case when at least one component is in the state of inability, the entire system is in the state of inability. Conditions were formulated for the reliability model of an arbitrary system to be able to be worked out in the form of the semi-Markov process. The need for the use of technical diagnostics in reliability examination of sea-going ship propulsion systems was indicated. In conclusions, certain qualities of the article were highlighted which are, in author’s opinion, of highest importance in reliability examination of sea-going ship propulsion systems.
Źródło:
Polish Maritime Research; 2013, 4; 18-24
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The semi-Markov model of energy state changes of the main marine internal combustion engine and method for evaluating its operation during ship voyage
Autorzy:
Girtler, J.
Powiązania:
https://bibliotekanauki.pl/articles/260072.pdf
Data publikacji:
2011
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
operation
energy
semi-Markov process
piston internal combustion engine
Opis:
The article presents a method for evaluating the operation of internal combustion engines used as the main engines in the propulsion systems of sea-going ships in various operating conditions. This method enables calculating the engine operation value based on the theory of semi-Markov processes and mathematical statistics. What is noteworthy, the operation of the examined internal combustion engines is compared to a physical quantity which is expressed in the form of a number with the measure unit called joule-second. a model having the form of a semi-Markov process is proposed to describe the energy state changes taking place in the main engines during their operation. Also proposed is the use of the point and interval estimation at a given confidence level â for determining the value of the energy converted in the engine during its operation for the known and unknown standard energy deviation treated as the random variable. The semi-Markov model of changes of the energy converted in the engine during its operation is presented in a general form. The above model was used for determining the ship’s main engine operation, which is in the examined case a function of the energy converted in particular energy states, the expected value of the time of duration of these states and the probability of their existence. These probabilities compose the limiting distribution of the semi-Markov process, the values of which are the specified main engine energy states.
Źródło:
Polish Maritime Research; 2011, 4; 36-42
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The random failure rate
Autorzy:
Grabski, F.
Powiązania:
https://bibliotekanauki.pl/articles/2069577.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
reliability
random failure rate
semi-Markov process
Opis:
A failure rate of the object is assumed to be a stochastic process with nonnegative, right continuous trajectories. A reliability function is defined as an expectation of a function of a random failure rate process. The properties and examples of the reliability function with the random failure rate are presented in the paper. A semi-Markov process as the random failure rate is considered in this paper.
Źródło:
Journal of Polish Safety and Reliability Association; 2007, 1; 143--149
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The matter of decision-making control over operation processes of marine power plant systems with the use of their models in the form of semi-Markov decision-making processes
Autorzy:
Girtler, Jerzy
Rudnicki, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/1551829.pdf
Data publikacji:
2021
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
semi-Markov model
ship main engine
operation process
stochastic process
operational state
technical state
marine power plant equipment
Opis:
The article presents the possibility to control the real operation process of an arbitrary device installed in the marine power plant based on the four-state semi-Markov process, being the model of the process, which describes the transition process of operational states of the device (ek , k = 1, 2, 3, 4), and the transition process of its technical states (sl , l = 1, 2, 3). The operational states ek (k = 1, 2, 3, 4) have the following interpretation: e1 – active operation state resulting from the task performed by the device, e2 – state of ready-to-operate stop of the device, e3 – state of planned preventive service of the device, e4 – state of unplanned service of the device, forced by its damage. Whereas the interpretation of the technical states sl (l = 1, 2, 3) is as follows: s1 – state of full serviceability of the device, s2 – state of partial serviceability of the device, and s3 – state of unserviceability of the device. All these states are precisely defined for the ship main engine (SG). A hypothesis is proposed which justifies the use of this model to examine real state transitions in marine power plant device operation processes. The article shows the possibility to make operating decisions ensuring a rational course of the device operation process when the proposed model of this process and the dynamic programming method based on the Bellman’s principle of optimality are applied. The optimisation criterion adopted when making operating decisions is the expected profit to be gained as a result of functioning of the device in the time interval [τ0 , τm], being the sum of the expected profit gained in interval [τ0 , τ1 ] and to be gained in interval [τ1 , τm].
Źródło:
Polish Maritime Research; 2021, 1; 116-126
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Systems reliability analysis in variable operation conditions
Autorzy:
Soszyńska, J.
Powiązania:
https://bibliotekanauki.pl/articles/2069605.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
reliability function
semi-markov process
large multi state system
Opis:
The semi-markov model of the system operation process is proposed and its selected parameters are defined. There are found reliability and risk characteristics of the multi-state series- “m out of k ” system. Next, the joint model of the semi-markov system operation process and the considered multi-state system reliability and risk is constructed. The asymptotic approach to reliability and risk evaluation of this system in its operation process is proposed as well.
Źródło:
Journal of Polish Safety and Reliability Association; 2007, 2; 319--330
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic model of the load spectrum for main engines of sea-going ships
Autorzy:
Girtler, J.
Powiązania:
https://bibliotekanauki.pl/articles/243406.pdf
Data publikacji:
2007
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
semi-Markov process
load
diesel engine
main engine
sea ship
Opis:
The paper presents possibility of applying the theory of semi-Markov processes for probabilistic description of load spectrum for diesel engines employed for ship propulsion, so for main engines. The considerations include output power characteristics for this kind of engines. The characteristics have enabled formulating a four-member set of states of the process of load on the engines. The theory of semi-Markov processes has been applied for describing the real process of loads on the mentioned engines. This theory has made possible building a model of the engine loads in form of a continuous-time semi-Markov process with a four-state set of values. Properties of a Darboux continuous function, which allow considering the engine loads as the discrete-states and continuous-time processes, have been used to build the model. In consequence a limiting distribution of the occurring process of successive states of engine loads could be determined. The distribution is the probabilities of staying a sea-going ship main engine in successive states of load. The distribution is characterized by the spectrum of loads on this kind of engines. The presented model can be developed by taking into account many states of the process of main engines loading as the need is to make such a probabilistic description of the process that provides possibility of rational control of the operating process.
Źródło:
Journal of KONES; 2007, 14, 3; 187-193
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Statistical identification and prediction of the port oil pipeline system’s operation process and its reliability and risk evaluation
Autorzy:
Kołowrocki, K.
Soszyńska, J.
Powiązania:
https://bibliotekanauki.pl/articles/2069675.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
semi-Markov processes
system operations process
reliability
Opis:
In the paper a Semi-markov processes are used to construct a general model of complex industrial systems’ operation processes. Main characteristics of this model are determined as well. In particular case, for a port oil pipeline transportation system, its operation states are defined, the relationships between them are fixed and particular model of its operation process is constructed and its main characteristics are determined. Further, the joint model of the system operation process and the system reliability is defined and applied to the reliability and risk evaluation of the port oil pipeline transportation system.
Źródło:
Journal of Polish Safety and Reliability Association; 2009, 2; 241--250
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-Markov reliability model of two different units cold standby system
Semi-Markowski model systemu z rezerwą zimną złożony z dwóch różnych podsystemów
Autorzy:
Grabski, F.
Powiązania:
https://bibliotekanauki.pl/articles/222851.pdf
Data publikacji:
2017
Wydawca:
Akademia Marynarki Wojennej. Wydział Dowodzenia i Operacji Morskich
Tematy:
reliability
Semi-Markov process
cold standby system
niezawodność
proces semi-Markowa
system z rezerwą zimną
Opis:
A semi-Markov stochastic process is used for solving in a reliability problem in the paper. The problem concerns of two different component cold standby system and a switch. To obtain the reliability characteristic and parameters of the system we construct so called an embedded semi-Markov process in the process describing operation process of the system. In the model the conditional time to failure of the system is represented by a random variable denoting the first passage time from the given state to the specified subset of states. We apply theorems of the Semi-Markov processes theory concerning the conditional reliability functions to calculate the reliability function and mean time to failure of the system. Often an exact reliability function of the system by using Laplace transform is difficult to calculate, frequently impossible. The semi-Markov processes perturbation theory, allows to obtain an approximate reliability function of the system in that case.
Do rozwiązania problemu z zakresu teorii niezawodności został zastosowany proces semi-Markowa. Problem dotyczy tak zwanego systemu z rezerwą zimną, który jest złożony z dwóch różnych podsystemów i przełącznika. Aby uzyskać charakterystyki i parametry niezawodności tego systemu, jako model funkcjonowania systemu konstruujemy proces semi-Markowa — tak zwany proces włożony w inny proces stochastyczny. W naszym modelu czas zdatności systemu jest reprezentowany przez zmienną losową oznaczającą czas pierwszego przejścia z danego stanu do określonego podzbioru stanów. W celu obliczenia funkcji niezawodności i średniego czasu do awarii systemu stosujemy twierdzenia teorii procesów semi-markowskich dotyczące warunkowej funkcji niezawodności. Najczęściej dokładna funkcja niezawodności systemu przy zastosowaniu transformaty Laplace’a jest trudna do wyliczenia. W takim przypadku teoria zaburzonych procesów semi-markowskich pozwala otrzymać przybliżoną funkcję niezawodności systemu.
Źródło:
Zeszyty Naukowe Akademii Marynarki Wojennej; 2017, R. 58 nr 4 (211), 4 (211); 45-60
0860-889X
Pojawia się w:
Zeszyty Naukowe Akademii Marynarki Wojennej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-Markov processes: application in system reliability and maintenance
Autorzy:
Grabski, F.
Powiązania:
https://bibliotekanauki.pl/articles/2069404.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
reliability
maintenance
semi-Markov process
semi-Markov perturbed processes
Opis:
The author’s monograph “Semi-Markov Processes: Application in System Reliability and Maintenance” which will be published by Elsevier in 2014 is presented. The paper is composed of an introduction, the monograph contents, conclusions and the references the monograph contents is based on.
Źródło:
Journal of Polish Safety and Reliability Association; 2014, 5, 1; 57--62
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-Markov Model of the Operation and Maintenance Process of City Buses
Semimarkowski model procesu eksploatacji i obsługi autobusów miejskich
Autorzy:
Szubartowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/223492.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
public transport bus
maintenance process
semi-Markov model
autobusowa komunikacja miejska
eksploatacja autobusów
model semi-Markowa
ocena gotowości systemu
Opis:
This paper presents a model of the operation and maintenance process of the technical objects within the urban transport bus system. All the investigations have been presented on the basis of the selected real operation and maintenance system of the city buses. Basing on the identification of the system under investigation and on the process being realized within it a model of the operation and maintenance process of the city buses was built, assuming that the model of this process is the homogeneous semi-Markov process X(t). For this purpose, crucial states of operation and maintenance process in selected transport system were determined as well as possible transfers between those states. Based on this, an event-based model of the operation and maintenance process of the city buses was built, assuming that its model is the homogenous semi-Markov process. For operation data obtained after research conducted in an authentic transport system, values of unconditional periods of duration of process states, values of stationary distribution included in the Markov chain as well as values of probabilities of limit distribution of the semi-Markov process were determined. Based on this, an analysis of the city buses operation and maintenance process in question was performed. Presented in this article the semi-Markov model operation and maintenance process of city buses is the first stage of the creation of the availability model of the urban transport bus system.
W artykule przedstawiono model procesu eksploatacji obiektów technicznych w systemie autobusowej komunikacji miejskiej. Całość rozważań przedstawiono na przykładzie wybranego rzeczywistego systemu eksploatacji autobusów miejskich. Na podstawie identyfikacji badanego systemu i realizowanego w nim procesu zbudowano model procesu eksploatacji autobusów miejskich, zakładając, że modelem tego procesu jest jednorodny proces semi-Markowa X(t). W tym celu wyznaczono istotne stany procesu eksploatacji realizowanego w wybranym systemie transportowym oraz możliwe przejścia między wyróżnionymi stanami. Na tej podstawie zbudowano zdarzeniowy model procesu eksploatacji autobusów miejskich, a następnie matematyczny model tego procesu, zakładając, że jego modelem jest jednorodny proces semi-Markowa. Dla danych eksploatacyjnych, uzyskanych z badań przeprowadzonych w rzeczywistym systemie transportowym, wyznaczono wartości bezwarunkowych czasów trwania stanów procesu, wartości rozkładu stacjonarnego włożonego w proces łańcucha Markowa oraz wartości prawdopodobieństw rozkładu granicznego procesu semi-Markowa. Na tej podstawie dokonano analizy rozpatrywanego procesu eksploatacji autobusów miejskich. Prezentowany w artykule semimarkowski model procesu eksploatacji autobusów miejskich jest pierwszym etapem budowy modelu oceny gotowości systemu autobusowej komunikacji miejskiej.
Źródło:
Archives of Transport; 2013, 25-26, 1-2; 109-116
0866-9546
2300-8830
Pojawia się w:
Archives of Transport
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-Markov model of quality state changes of a selected transport system
Autorzy:
Landowski, B.
Muślewski, Ł.
Knopik, L.
Bojar, P.
Powiązania:
https://bibliotekanauki.pl/articles/241811.pdf
Data publikacji:
2017
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
transport system
efficiency
operation process
maintenance process
semi-Markov process
simulation tests
Opis:
The study deals with the problems connected with evaluation and analysis of transport systems operational quality. The research object is a real, sociotechnical system (of the type H-M-E) whose functional quality is affected by: operators, equipment and technical state of he operated vehicles and the environmental impact. A scheme of an assessment model was built on the basis of a developed concept of a system operational quality and a random process was defined to be used for the analysis. The assessment process involves investigating the variability degree of properties included in the resultant model in a given time and determining whether and to what degree the obtained values meet the requirements of the system appropriate operational quality. On the basis of the above assumptions and in result of experimental tests, four qualitative states of a transport system functioning, which represent intervals of values of the obtained grades in given time moments, were distinguished. The study presents a model of system operation qualitative state changes developed with the use of Markov chain inserted into a certain semi-Markov process. A graph and a matrix for probability of transition between the states were created and boundary distributions of the process were determined on the basis of experimentally obtained data. A system of equations was determined for the distinguished Markov chain, on the basis of which a mathematical model for assessment and control of operational quality of selected types of transport systems will be built.
Źródło:
Journal of KONES; 2017, 24, 4; 141-148
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-Markov decision process as a safety and reliability model of a sea transport operations
Autorzy:
Grabski, F.
Powiązania:
https://bibliotekanauki.pl/articles/2069650.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
safety reliability
semi-Markov decision process
transport operation
Opis:
A problem of optimization of a sea transport operation in safety and reliability aspect is discussed in the paper. To describe and solve this problem, a semi-Markov decision processes theory is applied. The semi-Markov decision process as a model of the sea transport operation is constructed. An algorithm which Allowi to compute the optimal strategy of the operation in safety and reliability aspect is presented.
Źródło:
Journal of Polish Safety and Reliability Association; 2010, 1, 1; 99--104
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Safety and risk evaluation of Stena Baltica ferry in variable operation conditions
Autorzy:
Kołowrocki, K.
Soszyńska, J.
Powiązania:
https://bibliotekanauki.pl/articles/2069680.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
safety function
operation process
semi-markov process
Opis:
Basic safety structures of multi-state systems of components with degrading safety states related to their variable operation conditions are defined. For these systems the conditional and unconditional multi-state safety functions are determined. A semi-markov process for the considered systems operation modelling is applied. Further, the paper offers an approach to the solution of a practically important problem of linking the multi-state systems safety models and the systems operation processes models. Theoretical definitions and results are illustrated by the example of their application in the safety and risk evaluation of the Stena Baltica ferry operating at the Baltic Sea. The ferry transportation system has been considered in varying in time operation conditions. The system safety structure and its components safety functions were changing in variable operation conditions.
Źródło:
Journal of Polish Safety and Reliability Association; 2009, 2; 231--240
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reliability analysis of a system subjected to two-state operation process
Autorzy:
Kuligowska, E.
Powiązania:
https://bibliotekanauki.pl/articles/358995.pdf
Data publikacji:
2013
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
reliability analysis
simulation methods
operation states
semi-Markov process
modeling
Opis:
The paper presents analytical and Monte Carlo simulation methods applied to the reliability evaluation of a system operating at two different operation states. A semi-Markov process is applied to construct the system operation model and its main characteristics are determined. Analytical linking of this operation model with the system reliability model is proposed to get a general reliability model of the system operating at two varying operation conditions and to find its reliability characteristics. The application of Monte Carlo simulation based on this general model to the reliability evaluation of this system is proposed as well. The results obtained from those two considered methods are evaluated.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2013, 36 (108) z. 1; 100-104
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
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