On stationary characteristics of a multiserver exponential queuing system with reordering of requests

Matyushenko, Sergey; Ermolayeva, Anna

doi:10.1109/icumt54235.2021.9631709

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…This assumption allows us to model the mechanism for maintaining the order in which applications leave the system in accordance with the order in which they arrive. Systems of this kind are called systems with reordering of requests [8,9].…”

Section: System Descriptionmentioning

confidence: 99%

“…If the functioning of the system has a complex multivariate scenario, then the task of constructing a state space of a random process modeling the system under study becomes impossible without developing a special software product. In this article, using the example of a multi-channel queuing system with reordering of requests [8,9], an algorithm will be developed for the automated construction of the state space and transition intensity matrix.…”

Section: Introductionmentioning

confidence: 99%

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On the algorithmization of construction of the transition intensity matrix in systems with a large number of same elements

Matyushenko,

Zaryadov

2023

Discrete and Continuous Models

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Section: System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the algorithmization of construction of the transition intensity matrix in systems with a large number of same elements

Matyushenko,

Zaryadov

2023

Discrete and Continuous Models

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Algorithm for ranking applications in QS with priorities in the agro-industrial sector

Smolyaninov,

Asnina,

Donuykov

et al. 2024

BIO Web Conf.

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The study delves into the queuing process for warranty or post- warranty service requests in companies specializing in repairing electronic devices within the agro-industrial sector. The research also investigates the environmental implications of such operations and the environmental challenges related to servicing electronic devices in agricultural production. To streamline maintenance operations and cut costs, a logistic allocation approach for requests is proposed based on queuing systems theory principles. By analyzing workshop operations, a repair work performance scheme is developed, aligning with the specifics of agricultural production and environmental considerations in device maintenance. This has helped outline the primary requirements for the information system, creating diagrams that detail the sequence of processes for order addition, diagnostics, repair, spare parts ordering, and waste disposal. Using terminology from mass service systems, the workshop process is described, and an algorithm for preliminary time parameter calculations has been formulated to predict service completion dates. This methodology not only enables timely updates for customers regarding service completion times and the optimization of order routing through various channels, but it also contributes to addressing the adverse environmental impacts, a critical aspect in the organization of activities within the agricultural sector.

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Stochastic Analytical Modeling Based on Queuing Systems

2023

Deterministic and Stochastic Approaches in Computer Modeling and Simulation

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The subject of discussion in this chapter is the stochastic approach to model investigation of queuing systems (QS) with waiting buffer (queue) and server (service unit). Two types of QS are presented: single-channel and multi-channel QS. Single-channel QS is discussed in the first part of the chapter with presentation of main characteristics such as workload of the resource, queuing length, total number of requests in system, waiting time and time for presence in the system. The second part deals with organization of analytical investigation of QS and in particular presentation of discrete and continuous time Markov chains. The two possibilities for investigation were considered – during the development of a transient regime and the conditions for reaching a steady state regime. Three versions of QS are presented in QS – with an infinite buffer, with a limited buffer, and QS with request rejections in the absence of a buffer. Some examples for stochastic model investigation are presented in the last part.

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On stationary characteristics of a multiserver exponential queuing system with reordering of requests

Cited by 3 publications

References 3 publications

On the algorithmization of construction of the transition intensity matrix in systems with a large number of same elements

On the algorithmization of construction of the transition intensity matrix in systems with a large number of same elements

Algorithm for ranking applications in QS with priorities in the agro-industrial sector

Stochastic Analytical Modeling Based on Queuing Systems

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