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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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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 |
| Summary: | <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> |
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| ISSN: | 1024-123X 1563-5147 |