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Author: | Allahverdi, A. |
Title: | Stochastically minimizing total flowtime in flowshops with no waiting space |
Journal: | European Journal of Operational Research
1999 : FEB 16, VOL. 113:1, p. 101-112 |
Index terms: | OPERATIONAL RESEARCH SHOPS TIME |
Language: | eng |
Abstract: | The problem of scheduling n jobs in a two-machine flowshop with constant and known processing times is considered with the total flowtime performance measure. The machines are subject to random breakdowns and there is no waiting space between them. The problem is formulated and an expression for the completion time of the jobs is obtained in terms of the processing times and the breakdown elements. Provided that the counting processes associated with both machines have stationary increments property, a sequence that stochastically mimimizes the performance criterion is established for the cases when only the first or the second machine suffers breakdowns. |
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