scholarly journals MATHEMATICAL SIMULATION OF A MASS SERVICE SYSTEM WITH DIFFERENT CAPACITY CHANNELS

2021 ◽  
pp. 31-36
Author(s):  
N.K. Nuriev ◽  
Е.А. Pechenyy ◽  
S.D. Starygina
Keyword(s):  
Mathematical Simulation ◽  
Service System ◽  
Mass Service

scholarly journals Properties of a modelled call centre

2020 ◽  
Vol 71 (2) ◽  
pp. 96-102
Author(s):  
Ivan Baronak ◽  
Matej Hartmann ◽  
Robert Polacek
Keyword(s):  
Markov Chain ◽  
Service System ◽  
Call Centre ◽  
Mass Service ◽  
Time Required

AbstractTo detect the number of agents needed to serve customers, it is necessary to consider the call centre as a mass service system. Then it is possible to asses the convenient number of agents according to the probability of the system receiving a request and the time in which the request is serviced by employing a Markov chain and the Erlang model. In an archetypal call centre, the incoming calls are added to a waiting queue and subsequently they are assisted by an agent. In case all agents are occupied, the customer has to wait in the queue until one of the agents becomes available. It is, therefore, important to compromise on the number of agents and the time the customers spend waiting in the queue. The result should be that there are enough agents in the call centre to serve the customers in the time required. This article focuses on solving this problem.

scholarly journals Multichannel System State Graph of Combine Harvesters Branded Technical Service in Uzbekistan

2020 ◽  
Vol 14 (1) ◽  
pp. 46-49
Author(s):  
M. T. Toshboltaev ◽  
Z. A. Seytimbetova
Keyword(s):  
Service System ◽  
State Graph ◽  
Technical Service ◽  
System State ◽  
Multichannel System ◽  
Channel System ◽  
Average Value ◽  
Mass Service ◽  
Combine Harvesters ◽  
Service Theory

The authors showed that the multichannel system state graph of modern tractors, combines and agricultural machinery in Uzbekistan, by the nature of its functioning, was a kind of mass service system. They confirmed that this circumstance was not taken into account when studying the existing system of corporate technical service. They pointed out the relevance of determining the influence of the branded technical service system parameters on its condition using the methods of the mass service theory. (Research purpose) To evaluate the state parameters of a proprietary technical service multichannel system according to the results of the timing of combine harvesters maintenance. (Materials and methods) The authors studied the multi-channel system state graph of a proprietary technical service without a queue. The system included 109 Case-2166 combine harvesters and 7 car-mobile workshops. They used the methods of mass service theory. (Results and discussion) The authors established a linear relationship between the number of occupied car-mobile workshops and the average value of the service time at a constant intensity of requirements. It was revealed that it took 3.33 hours to fix one malfunction of one combine, that is, one workshop would be occupied. If 3.24 demands were received in the service center in one hour, then all 7 auto-moving workshops would be occupied. (Conclusions) The authors revealed that for a single-channel proprietary technical service system the average value of the time for eliminating one malfunction of one combine should not exceed 3.33 hours. They calculated the parameters at which all channels (7 workshops) will be occupied in the 7-channel system of corporate technical service: 3.24 requirements arose in one hour, on average, each workshop took 2.16 hours to fix one malfunction.

OPTIMIZE THE ORGANIZATION OF THE ACCOUNTING SERVICE AND OTHER SERVICE FUNCTIONS USING THE THEORY OF MANAGEMENT OF MASS SERVICE SYSTEMS

2020 ◽  
Vol 1 (12) ◽  
pp. 19-24
Author(s):  
I. A. SLOBODNYAK ◽  
◽  
P. V. ANTIPINA ◽  
Keyword(s):  
Service System ◽  
Point Of View ◽  
Service Systems ◽  
Mathematical Methods ◽  
Economic Point ◽  
Mass Service ◽  
Basic Performance ◽  
Service Theory

The article is devoted to considering the use of modern mathematical methods for the purpose of analyzing the effectiveness of organizing of various services of the organization. With the example of the accounting service it is shown how the basic performance of the service can be defined using the position of mass service theory. Proposes an interpretation of all the major variables in the model from an economic point of view. The model is universal and can be used to assess the operation of any service that meets the parameters of the mass service system.

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

2021 ◽  
Vol 190 (5-6(2)) ◽  
pp. 136-148
Author(s):  
Vitalii Kelman ◽  
◽  
Attila Ponevac ◽  
Oksana Korolovych ◽  
◽  
...  
Keyword(s):  
Mathematical Description ◽  
Service System ◽  
Close Contact ◽  
Service Area ◽  
System Structure ◽  
Retail Management ◽  
Service Flow ◽  
Mass Service ◽  
Target Values ◽  
Service Consumer

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.

MODEL OF FUNCTIONING OF THE AUTOMOTIVE SUPPORT UNIT OF THE AUTOMOBILE FACTORY PARK

2019 ◽  
pp. 24-30 ◽  
Author(s):  
Serghii Bukoiemskyi
Keyword(s):  
Service System ◽  
Technical Support ◽  
The State ◽  
Information Support ◽  
Maximum Effect ◽  
Main Task ◽  
Combined System ◽  
Support Unit ◽  
Mass Service ◽  
Armored Vehicles

It is held the analysis of the state of functioning of the system of technical support of automobiles and armored vehicles factory parks. The basis of this system is the technical support units. These units provide quality and timely implementation of technical influences on machinery. So, the main task of information support of technical support is to determine the needs of vehicles parks in such influences and an assessment of the capabilities of the relevant technical support units. Thus, there is an urgent need to model the functioning of these units. These units can be internal or external, with which the Internal Subdivision is subordinate to the State Border Guard Service of Ukraine and the external unit is subordinate to another organization. All these types of units need to be analyzed. The end result of the functioning of this system is the implementation of such a managerial influence on its structure, which will provide maximum effect of the adaptation of the combined system of technical support of automobile and armored vehicles fleets of the units of the State Border Guard Service of Ukraine. Thus, successful resolution of the tasks of information support of technical support of automobile and armored vehicles fleets of the units of the State Border Guard Service of Ukraine requires formalization of the functioning of certain technical support units. The study simulates this process. The technical support unit is presented as a mass service system with an extraordinary inbound request flow and a limited service queue. As a result, a number of dependencies were obtained that allow forecasting of the possibilities of separate technical support departments of technical parks and use of the obtained values in the process of implementation of the information support of technical support of such parks. Keywords: technical support system, technical support unit, model, mass service system, efficiency.

scholarly journals Analysis and evaluation of the functionality of the mass service system on the basis of customs of truck vehicles

2018 ◽  
Vol 19 (6) ◽  
pp. 906-910
Author(s):  
Andrzej Lewiński ◽  
Marta Żurek-Mortka
Keyword(s):  
Service System ◽  
Real Data ◽  
Input Stream ◽  
Analysis And Evaluation ◽  
Poisson Input ◽  
Mass Service ◽  
Random Events ◽  
Service Stations ◽  
Queue Theory ◽  
Service Theory

Paper discussed the modeling of customs processes for truck vehicles using the Markov processes and mass service theory (queue theory), showing the operation of the notification handling system as a system dependent on random events. The system is characterized as a system with Poisson input stream, exponential service time and many service stations. The results are presented in the form of graphs based on real data received from the customs office

scholarly journals Investigation of the operation mode at Ruse-Danube Bridge border checkpoint considered to be a mass service system with incoming flow of automobiles at a non-stationary mode of operation

2018 ◽  
Vol 234 ◽  
pp. 06003 ◽  
Author(s):  
Dimitar Grozev ◽  
Velizara Pencheva ◽  
Ivan Georgiev ◽  
Ivan Beloev
Keyword(s):  
Service System ◽  
Operation Mode ◽  
Differential Algebraic Equations ◽  
Stationary Mode ◽  
Incoming Flow ◽  
Algebraic Equations ◽  
System Parameters ◽  
Mass Service ◽  
Mode Of Operation ◽  
Stationary Conditions

The present work reviews the Ruse-Danube Bridge border checkpoint and the work carried out for a year, by examining the average daily incoming flows of cargo vehicles. On the basis of the information collected, the daily irregularity of the work at the Ruse-Danube Bridge border checkpoint has been assessed and the system has been modelled as a mass service system to assess capacities in existing infrastructure and organization of work. The type of incoming flow has been specified as a non-stationary Poisson flow. Under non-stationary conditions, the basic values of the system parameters have been calculated and a MatLab application has been created. A system of differential-algebraic equations has been selected for a model according to Kolmogorov model for stochastic processes.

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