Optimal resource allocation of the servicing companies in the field of housing and public utilities on the basis of the theory of multiphase queueing systems

Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia

^* Corresponding author: zrk@nm.ru

Abstract

The mathematical model describing technological process of functioning of the servicing companies in the sphere of housing sector and communal services is offered. The model allows you to manage the resources of serving companies in the housing sector in order to improve the quality of service. The problem statement and the solution of a problem of rational distribution of resources of the service company on the example of functioning of the center of maintenance of the measuring equipment used in the sphere of housing and communal services is given. The service center is modeled as a multiphase queueing system, which includes single-phase Queuing systems with limited and unlimited queue length. Used in the paper a method of sequential linearization allows to solve tasks of control production capacity of multiphase queueing systems for the simplest incoming flows with exponential service of requirements and free streams of requirements that are describing by means of simulation modeling methods. The software was developed. The results of applying the method of consistent linearization and corresponding software to the problem of optimal redistribution of production capacity of the center for maintenance of measuring equipment used in the sphere of housing and communal services are presented.