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| Author: | Tan, B. |
| Title: | Variance of the throughput of an N-station production line with no intermediate buffers and time dependent failures |
| Journal: | European Journal of Operational Research
1997 : SEP 16, VOL. 101:3, p. 560-576 |
| Index terms: | OPERATIONAL RESEARCH TECHNOLOGY TIME |
| Language: | eng |
| Abstract: | In this study the variance of the throughput of an N-station production line with no independent buffers and time dependent failures is analytically determined. Time to failure and time to repair distributions are assumed to be exponential. The analytical method yields a closed-form expression for the variance of the throughput. The method is based on determining the limiting variance of the total residence (sojourn) time in a specific state of an irreducible current Markov process from the probability of visiting that state at time t given an initial time |
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