Employment of queueing theory for maintenance of engineering systems of residual building

G. A. Afanasiev

Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2019), pp. 52-64

Résumé

In resent years has been increasing interest for application of probabilistic methods, in particular queueing theory for estimation of activities of managing companies of residential buildings. Maintenance of residential buildings is a set of measures that ensure the highest reliability of all elements and systems of a building. The main element of the technical operation of residential buildings is a system of scheduled prophylactic inspections and repairs. However even with its rational organization, there is always a positive probability of failure of building elements, which depends not only on the aging factors of the structure. Failure can be caused by accidental circumstances, for example, an unacceptable pressure increase in heating systems, cold and hot water supply systems, etc. The goal of the managing company is, on the one hand, to prevent the formation of a too long queue of emergency calls, and on the other, to complete all planned prophylactic maintenance work. The mathematical model for the technical operation of residential buildings, which considers two main functions for servicing the housing stock - scheduled prophylactic inspection and repair of technical objects, as well as the elimination of sudden malfunctions of technical equipment, in particular emergency ones is proposed. It is considered that the service team can start a scheduled preventive repair and inspection only when all requests for sudden malfunctions are satisfied. The main parameters of the model are: the average time between occurrences of equipment malfunctions, the average elimination time of such malfunctions, and the average time for prophylactic inspection and repair of one technical object. Based on the methods of the queuing theory, the system's characteristics that determine the quality of its work, as well as the boundaries of the change of parameters at which the system copes with the work from the standpoint of a particular criterion are defined.

Détail

Keywords: queueing system, prophylactic inspection and repair, sudden failure.

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