OPTIMIZATION MODEL FOR DISTRIBUTION OF APPLICATIONS IN MASS SERVICE SYSTEMS

In many clinics, new branches are opening today, which include a list of services for the us-er of the electronic registry. At the same time, it is necessary to take into account the schedules of counseling and receiving patients in the process of work, where the object of consideration is a high-quality schedule without the presence of time overlays.

Features of Forecasting Reliability of 6—10 kV Overhead Electric Lines According to Statistics of Their Failures and Reconditionings

This work is aimed at forecasting justification of the failure time of the 6—10 kV overhead electric lines (OEL) during the normalized period in its operation based on comparison with the statistics of failures and reconditionings on the previous intervals with the use of the OEL availability function, statistical availability coefficient, normalized forecasting interval and the accepted values of the availability coefficient on the forecasting interval. To achieve the goal set the OEL is described as an object of a multiple action, its failure and reconditioning flows are accepted as the simplest Poisson, and for the theoretical analysis of the variation character in the availability coefficient, the probability theory methods along with a mass service were used. The most significant result is justification of the use for the forecasting of the OEL failure time of a new convenient exponential expression of its availability function on the normalized period of time being forecasted. Unlike the accepted in the theory of reliability the availability function with two parameters T and Tr.av (average times of work and reconditionings), the proposed expression uses one parameter of distribution (virtual non-failure operating time). The significance of the results obtained consists in that controlling the dynamics of the variation in the statistical coefficient of availability of the OEL on the previous time intervals makes it possible to forecast its failure time during the forthcoming normalized periods of operation.

The Orbital Channel Resource Control on NonMarkov Priority Systems of Mass Service Basis. Part 1.Operational Distribution Model

In work systems analysis of process of target functioning of the satellite command relay system (SCRS) in the conditions of a difficult radio-electronic situation is carried out. The carried-out analysis of perspectives of development of a subsystem of relaying of SKRS of orbital grouping of spacecrafts of remote sensing of Earth, allowed to draw a conclusion on features of a stage of coordination planning of the means of a subsystem of relaying consisting in distribution of SKRS the orbital channel resource (OCR) on the basis of the non-Markov priority systems of service. The model of operational distribution of ROC of a subsystem of relaying on the basis of the priority systems of service in which, unlike the known models, time of stay of the request in a system is limited is received, limits for a type of distribution of holding time of requests are lifted and also expression for calculation of the initial moments of distribution of waiting time of messages of different priorities is received. Use of model allows to evaluate the probability of untimely delivery of details and also to provide required figures of merit of service of priority flows and at the expense of it to provide the required connectivity and stability of SKRS in general.

Rationalization of network retail management with a shift trading function based on the mathematical description of processes in the mass service area

The authors highlight the high priority of rationalization in the management of the totality of transactions carried out in the sphere of network retail, in close contact with the service consumer. For network retail objects with a shift trading function, it is important to implement a direct and permanent impact, both on the system structure and on the basic processes in the area of mass trade services. This impact focuses on studying the flow of requests, service inputs and outputs of the system, as well as the length of waiting times, and the length of queues. The success of development in such retail networks depends on the flexibility of the operations performed by the contractor in close contact with the service consumer. It is envisaged to consider peculiarities in the rationalization of network retail management with trade turnover (flexibility) functions. The latter define the structure of the service delivery system for service consumers with processes running, in which client demands for services, as defined in the income chain, even though the intensity of the customer service flow is not constant. The purpose of the research is to present the informative field for rationalization in network retail management with the function of shifting trade, based on the mathematical description and repeated «playing» of all processes within the area of mass service. To represent the informative area for rationalization in network retail management with a shift trading function based on a mathematical description and repeated play of all processes within the public service area, Methods of probability theory and mathematical statistics have been used, as well as cloud computing in AnyLogic Claud environment, AnyLogic service. The results of the study was the presentation of new possibilities for rationalizing network retail management by groups of network objects based on the concept of a mass service area, and in view of the fact that there is an n-channel system of mass service with an unlimited queue, where the request flow has the intensity λ, and the service flow is the intensity μ. The study was implemented with the example of one of the hubs Walmart-Salvador, uniting 90 supermarkets of the company. All Walmart hubs combine only the same supermarket type, supporting the trade changeover function within a single graph (half-yearly). Similar Walmart hubs are developed in Mexico, Great Britain, Brazil, China, Canada, South Africa, Chile, Japan, Costa Rica, Guatemala, Argentina, Honduras, Nicaragua, El Salvador, and Ukraine. At the same time, all network nodes contain objects that apply multi-channel service systems, most common in the network retail with an unlimited queue and an option to add a new service node. It is the Walmart-Salvador hub that has a fairly high percentage of customers’ refusals due to the busy service devices (this estimate ranging from 19% to 25%). As a result, Walmart’s lost annual profit reaches up to USD 25.5 million approximately. The rationalization in the management of the network retail for the Walmart-Salvador hub objects is implemented with a breakdown into 8 groups, united according to common input parameters, the latter providing a solution for the optimal number of service devices, and their required reserve and runoff are calculated, as well as efficient productivity resulting from the consistency of the input and output flows in the service channel and the stability in the mass service system. At the same time, programming for solving the problem of the management rationalization is realized using rate fixing for the basic processes in the area of mass service. In this way, mass service system sustainability is ensured, with the average timing for the application staying in the mass service system being crucial. In particular, implementing such a standard could allow avoiding losses caused by waiting for servicing and unproductive ones. Among other relevant factors are: associated timing, probability or other values (necessary for transformation operations in the characteristics of the mass service area, performed for generating target values of this indicator). Perspectives of implementing the mathematical description of the processes in a mass-service area are in the fact that it will provide for significantly simplification in the processes of rationalizing the retail management in shift-trading facilities, regardless of the frequency of quantity and quality product range changes.

Game Reproduction of the Queuing System as an Economic Laboratory Experiment

This article presents the results of an economic laboratory experiment based on a queuing system. The “classical” problem of the theory of mass service, known as the Erlang problem, with the aim of studying the behavioral theory of games reproduced in this article. It is based on the theory of queuing, which allows the company to avoid inefficient organization of customer service. Considerable attention is paid to the provisions of the behavioral theory of games as a method of making management decisions and their practical application. A mathematical model of decision making studied by queuing theory was compiled. There are Conclusions about the behavior in real economic situations. The experiment presented in the form of a game can be used as an original method of teaching economics.

Forms of organization of production activity of enterprises in terms of probabilistic nature of demand

Purpose. To develop models describing forms of organization of production activity in terms of probabilistic nature of demand and determine their being effected by strategies of marketing interaction with the product consumers. Methodology. The theoretical models were based on classic models of mass service, methods of sales planning, and studies on rational strategies of marketing interaction of a consumer of limited-demand products, the need in which is of probabilistic nature. Such parameters as maximum (peak) involved production capacity and maximum warehouse capacity required in terms of predicted production volumes are taken as the criterion of effect of a strategy of the manufacturer-consumer marketing interaction. Findings. Certain dependences have been obtained making it possible to calculate the maximum (peak) involved production capacity depending on the predicted production volume, warehouse capacity, and organization of production activity of an enterprise. It has been shown that the organization of marketing interaction between a manufacturer and a consumer of limited-demand products, the need in which is of probabilistic nature, on the basis of marketing partnership strategy helps reduce considerably the peak loads of production facilities and warehouse capacity, which is necessary to maintain production activity of an enterprise. Originality. On the basis of a mass service theory, a form of organization of production activity of an enterprise is substantiated that manufactures goods of differentiated need and limited demand of probabilistic nature. It has been proved that a current marketing strategy of interaction between a manufacturer and consumer of such a product influences considerably the organization of production activity of an enterprise-manufacturer. A form of organization of production activity of an enterprise has been substantiated; in terms of organization of interaction with a consumer on the basis of marketing partnership relations, it helps reduce significantly the peak loads of production facilities and the involved warehouse capacity to store ready-made products. Practical value. The obtained results can be applied to plan the forms of organization of production activity of an enterprise that manufactures limited-demand products, the need in which is of differentiated nature, and to substantiate rational marketing interaction with a consumer of such kind of product.

SIMULATION MODELING AS AN APPROACH IN SOLVING THE PROBLEMS OF MASS SERVICE SYSTEMS

The article studies the queuing system using the example of Pulkovo airport. The statistical data characterizing the growth of passenger traffic are presented. The problems of the queuing system and the method of its solution through the use of simulation are considered. Key words: simulation modeling, passenger traffic, throughput, CMO, complex technical systems, forecasting.