Forecasting the readiness of special vehicles using the semi-Markov model

Borucka, Anna; Niewczas, Andrzej; Hasilová, Kamila

doi:10.17531/ein.2019.4.16

Cited by 25 publications

(26 citation statements)

References 25 publications

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“…There are many numerical optimization methods implemented using special software for solving problems with account several means of cargo delivery. The simplest mathematical package is MS Excel, its use for solving problems of this type was proposed in (Borucka and Niewczas, 2019;Drašković et al, 2016). Also, the research of these means is given proper attention in (Chandrakantha, 2008;Ezeokwelume, 2016;Vats and KumarSingh, 2016).…”

Section: State Of the Artmentioning

confidence: 99%

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Constructing Reference Plans of Two-Criteria Multimodal Transport Problem

Przystupa

Zhang

Zabolotnii

et al. 2021

Transport and Telecommunication Journal

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The object of this study is a multicriteria transport problem, being stated for availability of several means of cargo delivery, meaning a multimodal transport problem. The optimization criteria of the multimodal transport problem described above are two objective functions of minimizing total transportation costs and level of transport risks. Three types of transport were selected for research: automobile, rail and river (inland waterway). The results of the study lay the foundation for development of a new valid algorithm for solving multimodal transport problems like multi-criteria optimization ones. The main advantage of such an algorithm lies in its higher potential convergence rate compared to classical numerical optimization methods, which now are predominantly used to solve the problems of this type. This advantage may not be decisive, but it appears to be at least quite an important argument when choosing the method of realization for two-criteria multimodal transport problems earlier considered, especially, in case of a large dimension. Moreover, the algorithm described in the work can be applied to similar problems with any number of types of transport and optimization criteria.

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Section: State Of the Artmentioning

confidence: 99%

“…Practically, before defining, under statement (8), combination ( a T ; r T ; ) w T for the reference plans of the problem matrix Т is to be calculated. It may be done for statement (10) though, however, the issue of the choice in the objective function is not completely solved.…”

Section: Multicriteria Problem and Its Solutionmentioning

confidence: 99%

Constructing Reference Plans of Two-Criteria Multimodal Transport Problem

Przystupa

Zhang

Zabolotnii

et al. 2021

Transport and Telecommunication Journal

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“…The second, important parameter is the function describing the transitions of objects between states, called the process transition intensity λ ij (t), which characterizes the rate of changes in the probability of transition p ij (t) [36].…”

Section: Calculations According To the Markov Modelmentioning

confidence: 99%

“…Calculated according to the above formulas (33)- (35), the element λ ij of the matrix Λ of transition intensity is shown in Table 9. Then, using the relationship (36), ergodic probabilities p j were calculated for the Markov model in continuous time.…”

Section: Calculations According To the Markov Modelmentioning

confidence: 99%

Evaluation of Machinery Readiness Using Semi-Markov Processes

et al. 2020

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This article uses Markov and semi-Markov models as some of the most popular tools to estimate readiness and reliability. They allow to evaluate of both individual elements as well as entire systems—including production systems—as multi-state structures. To be able to distinguish states with varying degrees of technical readiness in complicated and complex objects (systems) allows to determine their individual impact on the tasks performed, as well as on the total reliability. The application of the Markov process requires, for the process dwell times in the individual states, to be random variables of exponential distribution and the fulfilling Markov’s property of the independence of these states. Omitting these assumptions may lead to erroneous results, which was the authors’ intention to show. The article presents a comparison of the results of the examination of the process of non-parametric distribution with an analysis in which its exponential form was (groundlessly) assumed. Significantly different results were obtained. The aim was to draw attention to the inconsistencies obtained and to the importance of a preliminary assessment of the data collected for examination. The diagnostics of the machine readiness operating in the studied production company was additionally performed. This allowed to evaluate its operational potential, especially in the context of solving process optimization problems.

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“…Comprehensive analyses allow the formulation and optimization of maintenance policy, as Chen and Trivedi (2005) or Lisnianski and Frenkel (2009) presented in their papers. The systems are analysed as a whole (Borucka et al 2019;Knopik, Migawa 2017), or the individual phases are considered independently, and each of them is described by a separate Markov model (Alam, Al-Saggaf 1986). Studies describing complex, actual structures are not popular, and those that deserve attention include (Love et al 2000;Restel 2014;Woropay et al 2004;Żurek, Tomaszewska 2016).…”

Section: Introductionmentioning

confidence: 99%

Method of Testing the Readiness of Means of Transport With the Use of Semi-Markov Processes

Borucka

2021

Transport

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In the analysis of the readiness of means of transport, the Markov and semi-Markov processes are particularly applicable, allowing for the description of the usage process over long periods of time, determination of indicators of the exploitability and readiness of the used set of objects, as well as simulation of long-term forecasts of the usage process results. The studies presented in the literature usually concern the theoretical side of the matter, mainly the construction of formal models of the process of changing the operating states of a vehicle. Less attention is paid to the empirical side, especially with regard to the actual conditions of use. Examples of experimental observations presented in the literature most often concern individual cases. This paper lists selected irregularities and presents an example of a study of a real transport system based on semi-Markov processes.

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Forecasting the readiness of special vehicles using the semi-Markov model

Abstract: Article citation info: (*) Tekst artykułu w polskiej wersji językowej dostępny w elektronicznym wydaniu kwartalnika na stronie www.ein.org.pl

Cited by 25 publications

References 25 publications

Constructing Reference Plans of Two-Criteria Multimodal Transport Problem

Constructing Reference Plans of Two-Criteria Multimodal Transport Problem

Evaluation of Machinery Readiness Using Semi-Markov Processes

Method of Testing the Readiness of Means of Transport With the Use of Semi-Markov Processes

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