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PL
Efektywna i racjonalna analiza złożonych procesów eksploatacji obiektów technicznych wymaga zastosowania różnego rodzaju metod modelowania, w tym modeli matematycznych i symulacyjnych. W badaniach do opisu rzeczywistego procesu eksploatacji ciągników rolniczych opracowano zdarzeniowy model procesu eksploatacji, a następnie zbudowano model matematyczny z zastosowaniem teorii procesów Markowa. Na podstawie otrzymanych wyników dokonano analizy rozpatrywanego procesu eksploatacji obiektów technicznych.
EN
An effective and rational analysis of complex processes of technical object operation and maintenance requires the use of various types of modeling methods, including mathematical and simulation models. In this paper, in order to describe the actual process of farm tractor operation and maintenance, an event model of the operation and maintenance process was developed, and then a mathematical model of this process was built using the theory of Markov processes. On the basis of the obtained results, the considered operation and maintenance process was analyzed.
Logistyka
|
2015
|
nr 6
1307--1312, CD
PL
W artykule scharakteryzowano wybrane procesy, którym podlegać mogą informacje występujące w systemie eksploatacji złożonych odnawialnych obiektów technicznych. Realizacja tych procesów warunkuje poprawne kierowanie procesem eksploatacji, co uwzględniono w zawartym w opracowaniu modelu kierowania eksploatacją. Przedstawiono również koncepcję modelu systemu informacyjnego towarzyszącego wspomnianemu systemowi eksploatacji. Model ten może stanowić podstawę budowy systemów informacyjnych i informatycznych w przedsiębiorstwach zajmujących się eksploatacją obiektów technicznych rozpatrywanej klasy, do której należą, m.in., pojazdy.
EN
The paper presents selected processes applied for the information present in the operation and maintenance system of renewable complex technical objects. The execution of these processes conditions the proper managing of the objects operation and maintenance process. This relation is included in the managing model shown in the paper. A conception of the model of the information system, connected with the mentioned operation and maintenance system, is presented as well. This model may be used as the basis for building information systems and computerised information systems in the enterprises using the technical objects of the considered class.
PL
W pracy przeanalizowano gotowość środków transportu eksploatowanych w wybranym rzeczywistym systemie transportu drogowego. Gotowość środków transportu w istotny sposób wpływa na możliwość realizacji zadań przewozowych i utrzymywana jest na odpowiednim poziomie w wyniku realizacji procesów w podsystemie logistycznym, wykonywanych na stanowiskach zajezdni (procesy obsługi, naprawy, diagnozowania i zaopatrzenia). Obiektem badań było przedsiębiorstwo transportowo-spedycyjne zajmujące się przewozem ładunków na terenie Unii Europejskiej, krajów skandynawskich i Rosji. Na podstawie literatury opracowano wzory opisujące gotowość badanych środków transportu oraz dla danych eksploatacyjnych wyznaczono jej wartości. Rezultaty badań stanowią podstawę do opracowania założeń do budowy i skonstruowania matematycznego modelu wyznaczania i oceny gotowości środków transportu drogowego.
EN
In this article there is presented the availability of transport means in the selected system of road transportation. Availability of transport means has a significant influence on the capability of the transport task accomplishment and is maintained at a proper level due to realization of processes carried out within the logistic system on stands of a depot (servicing, repairing, diagnosing and supplying processes). The research object is a transportation-shipping company carrying loads on the territory of the European Union, Scandinavian countries and Russia. Based on the literature developed models which describing the availability of respondents means of transport for operational data and determined its value. The results of tests provide basis for elaboration of assumptions to build a mathematical model of availability of road transport means.
EN
The article presents the method for control of availability of executive subsystem with the threshold structure, consisting of elementary subsystems of the type . The whole of the consideration was presented using the example of a chosen authentic system of the operation and maintenance of transport means. The basic objective of the operation of transport systems is fulfilling the transportation needs as a result of the carrying out of transport on particular routes. The effectiveness of the operation of transport system depends on the possibility of correct carrying out of the assigned transport task. Among many significant criteria used for assessment of a transport system operation there is one of special importance, that is availability of the executive subsystem to perform the assigned tasks. Availability of the executive system to perform the assigned tasks depends on availability of particular technical objects (transport means) used in the system of transportation and their number. The presented method consists of determining and comparison of the values of the required and actual availability of the executive subsystem. The article deals with the way of determining the required availability of an individual technical object (means of transport) as well as the required number of technical objects used in the system, in order for the obtained value of the availability of the executive subsystem to exceed the value of the required availability determined by the parameters of transport task. The availability of the individual technical object was defined on the basis of a constructed mathematical model of operation and maintenance process realized in the tested transport system. Exemplary results have been presented on the basis of experimental data, obtained from the tests carried out in a real operation and maintenance system of transport means.
EN
In this work, a method for assessment and control of availability of executive subsystem consisting of elementary subsystems of the type has been presented. The goal of the executive subsystem is to perform the assigned transport tasks over set routes, with a given frequency, according to a set schedule. A proper accomplishment of the transport task is possible only if the required number of technical objects (transport means) is prepared to perform the assigned task in a given time. Among many significant criteria used for assessment of a transport system operation there is one of special importance that is availability of the executive subsystem to perform the assigned tasks. Availability of the executive system to perform the assigned tasks depends on availability of particular technical objects (transport means) used in the system of transportation and their number. On the basis of the above statement, it can be said that control of the executive subsystem availability can be carried out both by selecting technical objects with the required availability and matching the required number of the objects which are to be used in the system in order to ensure proper accomplishment of the transport tasks. In this work there has been discussed a method for determination of the required availability of a single object as well as the required number of technical objects indispensable to perform appropriately the assigned transport task, on the basis of the transportation system availability assessment. Availability of the transportation system is determined on the basis of a mathematical model of the operation and maintenance process of technical objects, in the studied transportation system. Exemplary results have been presented on the basis of experimental data, obtained from the tests carried out in a real operation and maintenance system of transport means.
EN
The article presents a method for choosing technical objects to be used for execution of tasks by a control subsystem. The research object used to illustrate the discussion presented in the paper is a municipal bus transport network, in a given agglomeration. In order to solve the discussed problem the homogenous Markov's process has been accepted to be a mathematical model of the bus operation process. The ratio of the object's mean probability of being in its serviceability state to a time unit, has been accepted as a criterion for choice (purchase) of a given make of the bus.
PL
W artykule przedstawiono metodę doboru obiektów technicznych do realizacji zadań przyjętych przez podsystem sterujący. Obiektem badań, na którym zilustrowano rozważania przedstawione w niniejszej pracy, jest system eksploatacji autobusów komunikacji miejskiej w wybranej aglomeracji. W celu rozwiązania omawianego problemu przyjęto założenie, że matematycznym modelem procesu eksploatacji autobusów jest jednorodny proces Markowa. Jako kryterium wyboru (zakupu) określonej marki autobusu do eksploatacji przyjęto wskaźnik prawdopodobieństwa przebywania obiektu technicznego w stanie zdatności na jednostkę czasu.
EN
This paper presents an example of applying Markov decision process to model and analyse the bus operation and maintenance process within an urban transport system and to forecast the influence of the operation and maintenance strategies realised for the technical objects on the transport system behaviour. Setting the values of the indices describing the process under the analysis is performed on the basis of a computerised simulation of the Markov decision process, being a mathematical model of the technical objects operation and maintenance process. In order to simulate the operation and maintenance process (Markov decision process) and to evaluate the influence of the decisions being made on the course and effectiveness of the process being realised within the study object a simulation algorithm has been elaborated and a computer calculation program has been written. The model presented herein has been created in such a way to assure that it shall be possible to use it in as extensive as possible class of the problems regarding the operation and maintenance of the technical objects.
PL
W artykule przedstawiono przykład zastosowania decyzyjnego procesu Markowa do modelowania i analizy procesu eksploatacji autobusów komunikacji miejskiej oraz prognozowania wpływu realizowanych strategii eksploatacji obiektów technicznych na zachowanie się systemu transportowego. Wyznaczanie wartości wskaźników charakteryzujących analizowany proces realizowane jest na podstawie komputerowej symulacji decyzyjnego procesu Markowa, będącego matematycznym modelem procesu eksploatacji obiektów technicznych. W celu symulacji procesu eksploatacji (decyzyjnego procesu Markowa) i oceny wpływu podejmowanych decyzji na przebieg i efektywność procesu realizowanego w obiekcie badań opracowano algorytm symulacji i napisano komputerowy program obliczeniowy. Przedstawiony w pracy model został skonstruowany w taki sposób, by zapewnić możliwość jego wykorzystania w jak najszerszej klasie problemów związanych z eksploatacją obiektów technicznych.
EN
The investigation object in this paper is a real system of an urban transport bus operation and maintenance in a large urban agglomeration. The investigated system belongs to the class of operational systems with a goal oriented behaviour. The paper presents the results of the investigations concerning damages to the buses of an urban transport system. Based on the analysis of the statistical data regarding the damages to the elementary bus subsystems some feature has been found, and namely that certain sequences of the damage chain occur with excessive frequency. The damage chain is considered to be a random sequence whose elements are the codes of the successively damaged bus subsystems. The analysis of the damage chain may be one of the elements to evaluate the maintenance subsystem within complex operation and maintenance systems of technical objects.
EN
The real operation and maintenance processes of technical objects are characterised by so called secondary action, it means that the values of the features describing the process states and the analysed operation and maintenance states of technical objects as well as the after-effect ofthose states depend not only on their present state, but very often on the state or sequence of the previous states, too. In spite of the fact that the mathematical models of the real processes are intrinsically a significant simplification of the actual state, it however seems that omission of a secondary action in a certain class of operation and maintenance processes is an excessive simplification and the results obtained from investigations of models of that type may be affected by a significant error. The paper presents a model of operation and maintenance process of means of transport characterised by a secondary action as well as an example of computer simulation of performance of a stochastic process describing the features of the operation and maintenance process under analysis. The elaborated model of operation and maintenance process of technical objects takes into account the specificity of the systems of the urban bus transport. The computer simulation of the maintenance process enables, among other things, to estimate the values of the chosen indicators characterising the investigated process. On the basis of the analysis of the statistical data, obtained from the operation and maintenance investigations, the values of the essential input parameters of the model were estimated. The considerations presented in the paper include an assumption that it is possible to distinguish n disjoint subsets ofhomogenous objects, from the point of view of the investigation purpose, in the set of the technical objects being operated and maintained in the system under analysis. The investigation object is a system of operation and maintenance of means of transport.
EN
Operation and maintenance of technical objects is related to occurrence of various events, the effects of which affect the operation and maintenance process course, and particularly the courses of their use and service processes. Occurrence of those events may be of both determined and random nature. Assessing, analysing and forecasting the operation and maintenance process course, in complex technical systems, are connected with the problems of modelling the operation and maintenance processes of technical objects. Those processes are random ones which depend on one another. The paper presents an example of the Markov decision process to model changes of the analysed operation and maintenance states of technical objects. The investigation object is a real operation and maintenance system of urban transport buses in a middle-sized agglomeration (about 400 k residents). Supporting a decision maker, in the process of making decisions concerning performance of the operation and maintenance process of the means of transport, may be carried out by analysing the results of the investigations of the operation and maintenance process model. The investigations of that type are to determine values of the selected measures of technical and economic efficiency of the process being carried out for the estimated values of the model parameters. The values of the model parameters were estimated on the basis of the analysis of the results of the investigations performed in the analysed system of urban bus transport. A change to the values of the model parameters may reflect a change of influence of internal and external factors on behaviour of the system and the operation and maintenance process of the means of transport being carried out in it. Mathematical models of the operation and maintenance processes are intrinsically simplified, therefore practical conclusions resulting from investigating those models should be formulated carefully.
EN
The paper deals with an analysis and mathematical model of means of transport operation and maintenance. The considerations are based on a selected real transport means system - city bus transport system in a chosen agglomeration. The model has been built on the basis of a real city transport system involving realization of the process of operation and maintenance of means of transport. For this purpose, the process significant states and possible transitions between theses states have been determined. On this basis, an event model of means of transport operational use process was built, and next its mathematical model was made, with the assumption of its being the homogenous Markov 's model. Means of transport values of boundary probabilities for their being in the process particular states, were determined for data concerning their operational use. This serves as the basis for an analysis of the studied process of operational use. The presented Markov's model of the means of transport operational use process is the effect of accomplishmen of the first stage of the resultant model (semi-Markov's model) of operational use. The resultant model will be a part of a wide scale, decision model for creation and assessment of the transport system being ready for operation.
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