Optimization of the Part Manufacturing Process Using Analytical and Simulation Models of a Closed Queueing System

Volume 9, Issue 5, October 2024     |     PP. 102-115      |     PDF (566 K)    |     Pub. Date: October 21, 2024
DOI: 10.54647/mathematics110502    33 Downloads     1420 Views  

Author(s)

Kostyantyn Zhernovyi, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Ukraine
Yuriy Zhernovyi, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Ukraine

Abstract
The production of a specific type of part entails a lengthy assembly process, concluding with a short firing period in a furnace. Given the high operational costs of the furnace, multiple assemblers share a single furnace, which can fire only one part at a time. The objective of this study is to determine the optimal number of assemblers, m, that maximizes the furnace utilization factor, K. We define the optimal value of m as the smallest quantity that meets the specified condition K≥0.990. To this end, we develop an analytical and simulation model based on a closed queueing system. Using an analitycal model and a GPSS World simulation model, we investigate the dependencies of the optimal number of assemblers on the following parameters: the coefficients of variation V(X), V(Y), and the ratio ρ=E(Y)/E(X). Here X represents the assembly time for a part, and Y denotes the furnace firing time of a part. We validate the simulation model by comparing its results with those obtained from an analytical method.

Keywords
closed queueing system, simulation model, GPSS World, part manufacturing process, optimization

Cite this paper
Kostyantyn Zhernovyi, Yuriy Zhernovyi, Optimization of the Part Manufacturing Process Using Analytical and Simulation Models of a Closed Queueing System , SCIREA Journal of Mathematics. Volume 9, Issue 5, October 2024 | PP. 102-115. 10.54647/mathematics110502

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