Abstract
The paper presents a mathematical model of the system of repairs and preventive replacements by age of city buses. The mathematical model was developed using the theory of semi-Markov processes. In the model developed, four types of city bus renewal processes are considered and three types of corrective repairs and preventive replacement. Corrective repairs are considered in two types: minimal repairs (repairs carried out by the Technical Service units) and perfect repairs (repairs carried out at the stations of the Service Station). The models of restoration systems that use semi-Markov processes in which minimal repairs, perfect repairs, and preventive replacements by age, have been examined in the literature to a limited extent. The system under consideration is analysed from the point of view of two criteria: profit per time unit and availability of city buses to carry out the assigned transport tasks. Conditions of criterion functions’ extremum (maximum) existence were formulated for the adopted assumptions. The considerations presented in the paper are illustrated by exemplary results of calculations.
Highlights
Giovanni Randazzo, The basic task of transport systems is to transport people, animals and goods
The aim of the paper is to develop and study a semi-Markov model of preventive repairs and replacements according to the age of city buses using two criterion functions: profit per unit time and the coefficient of readiness of city buses to carry out the assigned transport tasks, and to formulate sufficient conditions for the existence of the maximum of these functions
Thegraphs graphsofof function g(x)—profit per time unit as time as a function time to preventive thethe function g(x)—profit per unit a function of time of to preventive maintenance
Summary
Giovanni Randazzo, The basic task of transport systems is to transport people, animals and goods. Any kind of disruption in the implementation of the assigned transport tasks, including downtime caused by damages to the means of transport (city buses) causes a decrease in the reliability and readiness of technical facilities and generates additional costs (losses). One of the ways of ensuring the correct and efficient fulfilment of transport tasks in urban bus operation systems is the implementation of preventive maintenance (PM) The implementation of these activities consists of planning the timing and scope of preventive maintenance in such a way as to keep their costs lower than the costs of repairs after the damage. The determination of optimal times for Anselme Muzirafuti and Dimitrios
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