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

Laurentiu Rece, Sorin Vlase, Daniel Ciuiu, Giorgian Neculoiu, Stefan Mocanu and Arina Modrea
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Laurentiu Rece: Department of Mechanical Technology, Tehnical University of Civil Engineering of Bucharest, 020396 Bucharest, Romania
Sorin Vlase: Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 20, 500036 Brasov, Romania
Giorgian Neculoiu: Department of Mechanical Technology, Tehnical University of Civil Engineering of Bucharest, 020396 Bucharest, Romania
Stefan Mocanu: Department of Mechanical Technology, Tehnical University of Civil Engineering of Bucharest, 020396 Bucharest, Romania
Arina Modrea: Faculty of Engineering, George Emil Palade University of Medicine, Pharmacy, Science, and Technology of Targu Mures, 540142 Targu Mures, Romania

Mathematics, 2022, vol. 10, issue 14, 1-32

Abstract: In the paper, a new method was presented using queueing theory models in order to ensure an optimal production department size, optimized production costs and optimal provision. Queueing/waiting mathematical models represent the development matrix for an experimental algorithm and implicitly numerical approach, both successfully applied (and confirmed in practice) in a production section design for a real industrial engineering unit with discussed method technological flow and equipment schemes compatibility. The total costs for a queueing system with S servers depend on the number of servers. The problem of minimizing cost in terms of S was the main aim of the paper. In order to solve it, we estimated all the variables of the system that influence the cost using the Monte Carlo method. For a Jackson queueing network, the involved linear system has good properties such that it can be solved by iterative methods such as Jacobi and Gauss–Seidel.

Keywords: industrial optimization; computing methods; waiting theory; mathematical model; Monte Carlo method; Jackson queueing networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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