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            <title xml:lang="en">Maximum Lateness Minimization with Positive Tails on a Single Machine with an Unexpected Non-Availability Interval</title>
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                <forename type="first">Imed</forename>
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                <title xml:lang="en">Maximum Lateness Minimization with Positive Tails on a Single Machine with an Unexpected Non-Availability Interval</title>
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              <p>In this paper, we consider the single machine scheduling problem with an unexpected non-availability interval. The objective is to minimize the maximum lateness. We have to decide the scheduling of jobs without any knowledge of the machine non-availability interval. Hence, we consider two possible models related to this constraint: breakdown model and emergent-job model. In both cases, the starting time of the non-availability interval and the length of the interval are unknown. We show that no root 37+1/6=competitive online algorithm exists for the breakdown model and no 9/2+root 31-competitive online algorithm exists for the emergent model and we show the Jackson's rule can give a 2-approximation for the two models and this ratio is tight.</p>
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