An analytical formula for throughput of a production line with identical stations and random failures
<p>We derive a simple formula for the throughput (jobs produced per unit time) of a serial production line with workstations that are subject to random failures. The derivation is based on equations developed for a line flow model that takes into account the impact of finite buffers between wo...
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| Format: | Article |
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Hindawi Limited
2005-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X04411089 |
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doaj-5ffe6040ebdd4be097c54a18fa54a20f2020-11-24T23:28:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472005-01-0120053293308An analytical formula for throughput of a production line with identical stations and random failuresBlumenfeld Dennis E.Li Jingshan<p>We derive a simple formula for the throughput (jobs produced per unit time) of a serial production line with workstations that are subject to random failures. The derivation is based on equations developed for a line flow model that takes into account the impact of finite buffers between workstations. The formula applies in the special case of a line with identical workstations and buffers of equal size. It is a closed-form expression that shows the mathematical relationships between the system parameters, and that can be used to gain basic insight into system behavior at the initial design stage.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X04411089 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Blumenfeld Dennis E. Li Jingshan |
| spellingShingle |
Blumenfeld Dennis E. Li Jingshan An analytical formula for throughput of a production line with identical stations and random failures Mathematical Problems in Engineering |
| author_facet |
Blumenfeld Dennis E. Li Jingshan |
| author_sort |
Blumenfeld Dennis E. |
| title |
An analytical formula for throughput of a production line with identical stations and random failures |
| title_short |
An analytical formula for throughput of a production line with identical stations and random failures |
| title_full |
An analytical formula for throughput of a production line with identical stations and random failures |
| title_fullStr |
An analytical formula for throughput of a production line with identical stations and random failures |
| title_full_unstemmed |
An analytical formula for throughput of a production line with identical stations and random failures |
| title_sort |
analytical formula for throughput of a production line with identical stations and random failures |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2005-01-01 |
| description |
<p>We derive a simple formula for the throughput (jobs produced per unit time) of a serial production line with workstations that are subject to random failures. The derivation is based on equations developed for a line flow model that takes into account the impact of finite buffers between workstations. The formula applies in the special case of a line with identical workstations and buffers of equal size. It is a closed-form expression that shows the mathematical relationships between the system parameters, and that can be used to gain basic insight into system behavior at the initial design stage.</p> |
| url |
http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X04411089 |
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