Abstract
One of the most important characteristic of each queueing model is time to buffer overflow. In the paper the distribution of that time in a single-channel manufacturing system, modelled by a Markovian finite-buffer queue with machine breakdowns, is studied. By using the analytical approach based on the idea of embedded Markov chain, total probability law and linear algebra, the formula for Laplace transform of the time to buffer overflow conditional distribution is found. Numerical illustration is presented.
| Original language | English |
|---|---|
| Article number | 05005 |
| Journal | MATEC Web of Conferences |
| Volume | 112 |
| DOIs | |
| Publication status | Published - 3 Jul 2017 |
| Event | 21st Innovative Manufacturing Engineering and Energy International Conference, IManE and E 2017 - Iasi, Romania Duration: 24 May 2017 → 27 May 2017 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 9 Industry, Innovation, and Infrastructure
ASJC Scopus subject areas
- General Chemistry
- General Materials Science
- General Engineering
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