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.
Highlights
The problem of improving the quality of services is relevant in the field of housing and communal services and construction [1,2,3] is important actual problem
Methods of mathematical modeling of servicing systems based on the Theory of Queuing Systems (QS), including Theory of Multidimensional Queuing Systems (MQS) are widely used for its investigation [4,5,6]
The maintenance center of Measuring Equipment (ME) consists of Dispatcher Point (DP) and complex, including a Diagnostic Center (DC), Repair Shop (RS) and Fine Tuning Workshop (FTW) (Figure1)
Summary
The problem of improving the quality of services is relevant in the field of housing and communal services (housing) and construction [1,2,3] is important actual problem. DC – is a single-channel QS with expectation, unlimited queue length and bounded intensity of service. FTW – is single-channel QS with expectation bounded by a value of the queue length and bounded intensity of service. If we assume that the service time of requirements in DC, PS, FTW is exponentially distributed random variable, the outgoing RS and DC flows will be Poisson - systems. With other random laws that characterize the incoming flow of events and service time, the structure of the outgoing single-phase QS flows has a more complex probabilistic character. Such MQS can be investigated by means of simulation imitation methods [7]
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