Abstract
A queueing system of the M/M/1/N type with cyclic failure-free and repair times is used as a model of a single-machine manufacturing line. Jobs arrive according to a Poisson process and are being served with exponentially distributed processing time. Successive working (failure-free) and repair times have exponential distributions, too. Basing on a system of integral equations for double transforms of conditional probability distributions of the number of jobs completely processed before the fixed time (departure process), comprehensive numerical analysis of the impact of system parameters on the mean number of departures before the fixed epoch T>0 is carried out.
| Original language | English |
|---|---|
| Title of host publication | Modern Technologies in Industrial Engineering II |
| Editors | Alexander Mikhaylov, Dumitru Nedelcu, Alexei Toca, Andrzej Wrobel, Constantin Carausu, Emil Oanta |
| Publisher | Trans Tech Publications Ltd. |
| Pages | 927-932 |
| Number of pages | 6 |
| ISBN (Electronic) | 9783038352556 |
| DOIs | |
| Publication status | Published - 2014 |
Publication series
| Name | Advanced Materials Research |
|---|---|
| Volume | 1036 |
| ISSN (Print) | 1022-6680 |
| ISSN (Electronic) | 1662-8985 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 9 Industry, Innovation, and Infrastructure
Keywords
- Departure process
- Finite magazine capacity
- Production line
- Repair time
- Working time
ASJC Scopus subject areas
- General Engineering
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