Abstract
An operation of a single-machine manufacturing system is modeled by an unreliable finite-buffer M/M /1/ N -type queuing system with Poisson arrivals, in which service times, failure-free times and times of repairs are totally independent and exponentially distributed random variables. Applying the idea of embedded Markov chain and the formula of total probability a system of integral equations for the transient conditional queue-size distributions of jobs present in the system at fixed time t is built. The solution of the corresponding system written for Laplace transforms is obtained in a compact form using the potential technique.
| 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 | 505-510 |
| 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
- Finite-buffer queue
- Machine breakdown
- Markov moment
- Queue-size distribution
- Total probability formula
ASJC Scopus subject areas
- General Engineering
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