Queueing Theory-Based Mathematical Models Applied to Enterprise Organization and Industrial Production Optimization

Rece, Laurenţiu; Vlase, Sorin; Ciuiu, Daniel; Neculoiu, Giorgian; Mocanu, Ștefan; Modrea, Arina

doi:10.3390/math10142520

Cited by 5 publications

(4 citation statements)

References 22 publications

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“…The software product required its portability in other operating environments. Thus, C++ language was used for the development of the interface [72,73], and C language was used for the realization of the core of the software system [74,75].…”

Section: Automated Decision Support System "Formation Of An Effective...mentioning

confidence: 99%

Mathematical Models for the Design of GRID Systems to Solve Resource-Intensive Problems

Tynchenko,

Nelyub

et al. 2024

Mathematics

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Artificial neural networks are successfully used to solve a wide variety of scientific and technical problems. The purpose of the study is to increase the efficiency of distributed solutions for problems involving structural-parametric synthesis of neural network models of complex systems based on GRID (geographically disperse computing resources) technology through the integrated application of the apparatus of evolutionary optimization and queuing theory. During the course of the research, the following was obtained: (i) New mathematical models for assessing the performance and reliability of GRID systems; (ii) A new multi-criteria optimization model for designing GRID systems to solve high-resource computing problems; and (iii) A new decision support system for the design of GRID systems using a multi-criteria genetic algorithm. Fonseca and Fleming’s genetic algorithm with a dynamic penalty function was used as a method for solving the stated multi-constrained optimization problem. The developed program system was used to solve the problem of choosing an effective structure of a centralized GRID system that was configured to solve the problem of structural-parametric synthesis of neural network models. To test the proposed approach, a Pareto-optimal configuration of the GRID system was built with the following characteristics: average performance–103.483 GFLOPS, cost–500 rubles per day, availability rate–99.92%, and minimum performance–51 GFLOPS.

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Section: Automated Decision Support System "Formation Of An Effective...mentioning

confidence: 99%

Mathematical Models for the Design of GRID Systems to Solve Resource-Intensive Problems

Tynchenko,

Nelyub

et al. 2024

Mathematics

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“…To ensure the consistency of developing management decisions using the resources of the knowledge economy, a multi-parameter approach was implemented to expert assessments of management quality indicators for the stages of the innovation cycle of each enterprise included in the complex [42][43][44]. New opportunities have appeared to deepen the analysis in terms of speed, economic, environmental, and energy (abbreviated 3-E) efficiency and sustainability of innovative transformations of enterprises [45][46][47][48][49][50][51][52][53].…”

Section: Applied Approaches To the Economic And Mathematical Analysis...mentioning

confidence: 99%

“…They allow the modeling of the behavior of technological systems when solving product problems using the theory of waiting in the queue. However, in this case, only evolutionary optimization processes with cost estimates by the Monte Carlo method in linear systems are displayed [48].…”

Section: Analog-digital Approaches To Regulating the Balanced Develop...mentioning

confidence: 99%

Review of Models for and Socioeconomic Approaches to the Formation of Foresight Control Mechanisms: A Genesis

Alabugin¹,

Aliukov²,

Khudyakova³

2022

Sustainability

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The study of a genesis is determined by the needs when designing the processes of high-tech development. This is performed taking the knowledge-intensive factors of a large knowledge economy into account under conditions of environmental uncertainty. An increase in the number of publications on the regulation of imbalances in the goals of innovation and efficiency that objectively arise in the processes of such development has been revealed. Therefore, the purpose of this study is to analyze models and socioeconomic approaches for the integration of mechanisms for foreseeing and controlling the development goals of enterprises in the processes of their genesis. This led to the improvement of the theory and the development of new methodologies, models, and methods for improving the quality of the management of the innovative development of enterprises according to sustainability criteria. Therefore, an analysis of textual sources was carried out, as it is crucial to understand various text-processing approaches to optimize the forecasting of long-term goals. An attempt was made to apply methods for assessing the quality of proposals available in the literature by a number of authors to summarize and discuss the current text-based socioeconomic advances in the aspect of forming a unified mechanism for improving the quality of governance. The properties of the monitoring of the factors of the knowledge economy and the strategic planning of development goals were analyzed. The quality of proposals was assessed in a procedure, and a discussion of the strengths and weaknesses of scientific approaches was conducted. This made it possible to determine the correspondence of approaches to the development of theories and new methodologies for the integration–balancing management of the integration and combination of resources by using a foresight-controlling mechanism. Moreover, this study also determines the prospects of the analyzed areas of socioeconomic research and project development.

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“…This research effectively employed these models in designing a practical industrial engineering unit, aligning with technological flow and equipment schemes. The focus on minimizing costs in terms of server count is addressed using the Monte Carlo method, showcasing the practicality of iterative methods like Jacobi and Gauss-Seidel in solving the associated linear system for Jackson queueing networks [31]. Mustafa Demircioglu et al investigated the influence of disasters on a discrete-time single-server queueing system featuring general independent arrivals and service times.…”

Section: Introductionmentioning

confidence: 99%

Multiple Control Policy in Unreliable Two-Phase Bulk Queueing System with Active Bernoulli Feedback and Vacation

Niranjan,

Devi Latha,

Mahdal

et al. 2023

Mathematics

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In this paper, a bulk arrival and two-phase bulk service with active Bernoulli feedback, vacation, and breakdown is considered. The server provides service in two phases as mandatory according to the general bulk service rule, with minimum bulk size ′a′ and maximum bulk size ′b′. In the first essential service (FES) completion epoch, if the server fails, with probability ′δ′, then the renewal of the service station is considered. On the other hand, if there is no server failure, with a probability ′1−δ′, then the server switches to a second essential service (SES) in succession. A customer who requires further service as feedback is given priority, and they join the head of the queue with probability β. On the contrary, a customer who does not require feedback leaves the system with a probability ′1−β′. If the queue length is less than ′a′ after SES, the server may leave for a single vacation with probability ′1−β′. When the server finds an inadequate number of customers in the queue after vacation completion, the server becomes dormant. After vacation completion, the server requires some time to start service, which is attained by including setup time. The setup time is initiated only when the queue length is at least ′a′. Even after setup time completion, the service process begins only with a queue length ‘N’ (N > b). The novelty of this paper is that it introduces an essential two-phase bulk service, immediate Bernoulli feedback for customers, and renewal service time of the first essential service for the bulk arrival and bulk service queueing model. We aim to develop a model that investigates the probability-generating function of the queue size at any time. Additionally, we analyzed various performance characteristics using numerical examples to demonstrate the model’s effectiveness. An optimum cost analysis was also carried out to minimize the total average cost with appropriate practical applications in existing data transmission and data processing in LTE-A networks using the DRX mechanism.

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Queueing Theory-Based Mathematical Models Applied to Enterprise Organization and Industrial Production Optimization

Cited by 5 publications

References 22 publications

Mathematical Models for the Design of GRID Systems to Solve Resource-Intensive Problems

Mathematical Models for the Design of GRID Systems to Solve Resource-Intensive Problems

Review of Models for and Socioeconomic Approaches to the Formation of Foresight Control Mechanisms: A Genesis

Multiple Control Policy in Unreliable Two-Phase Bulk Queueing System with Active Bernoulli Feedback and Vacation

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