Preventive replacement is applied to improve the device availability or increase the profit per unit time of the maintenance system.
In this paper, we study age-replacement model of technical object for n-state system model. The criteria function applied in this
paper describe profit per unit time or coefficient of availability. The probability distribution of a unit‘s failure time is assumed to be
known, and preventive replacement strategy will be used over very long period of time. We investigate the problem of maximization
of profit per unit time and coefficient availability for increasing the failure rate function of the lifetime and for a wider class of lifetime. The purpose of this paper is to obtain conditions under which the profit per unit time approaches a maximum. In this paper
we shows that the criteria function (profit per unit time or coefficient availability) can be expressed using the matrix calculation
method. Finally, a numerical example to evaluate an optimal replacement age is presented.
Abstract. The problems discussed in the study are connected with evaluation of complex technical systems functioning, in particular, transport systems. It was assumed that evaluation of their functioning depends on fulfilment degree of selected criteria. Therefore, it is important to determine a set of criteria including their type, number and importance. Since the research object is a public city transport system considered to be a sociotechnical system of the type: human (driver) -machine (vehicle) and the environment , the criteria to be used for the assessment must include behavior of humans, operation of transport means, and the environmental impact. Thus, selection and determination of importance of significant, time variable, measurable and independent characteristics whose values, in a given time moment or a given time interval, define fulfillment degree of the criteria provide the basis for evaluation of such systems functioning. The quality of technical systems functioning in time is assessed on the basis of the criteria fulfilment degree or comparison and classification of different systems of the same type. It needs to be emphasized that the choice of optimal methods for selection of relevant criteria and determination of their impact on the analyzed system functioning is the research subject of study.
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