Worst case performance evaluation of flexible solutions in single machine scheduling
Identifieur interne : 000B40 ( Crin/Checkpoint ); précédent : 000B39; suivant : 000B41Worst case performance evaluation of flexible solutions in single machine scheduling
Auteurs : Mohamed Ali Aloulou ; Marie-Claude Portmann ; Mikhail Y. KovalyovSource :
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Abstract
In this paper, we consider the problem of evaluating the worst case performance of flexible solutions in single machine scheduling. A flexible solution is a set of schedules following a structure defined by a partial order of jobs and a type of schedules. here, we consider active and non-delay schedules. The proposed structure allows the decision maker to dispose of some flexibility (a set of schedules instead of one schedule) that can be used on-line to absorb the impact of data disturbances related to, for example, job arrival, tool availability or machine breakdowns. The performance is a function of (i) the best case performance providing the decision maker a lower bound of the performance, (ii) the worst case performance giving him a guarantee about how poorly the solution may perform, in both cases when following the considered structure. The worst cases correspond to new scheduling problems, in which a regular criterion must be maximized. We present new algorithms and/or new computational complexity results, in presence of : one machine, different release dates, precedence constraints and various criteria to be maximized.
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<author><name sortKey="Portmann, Marie Claude" sort="Portmann, Marie Claude" uniqKey="Portmann M" first="Marie-Claude" last="Portmann">Marie-Claude Portmann</name>
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<author><name sortKey="Kovalyov, Mikhail Y" sort="Kovalyov, Mikhail Y" uniqKey="Kovalyov M" first="Mikhail Y." last="Kovalyov">Mikhail Y. Kovalyov</name>
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>maximization problems</term>
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<front><div type="abstract" xml:lang="en" wicri:score="2647">In this paper, we consider the problem of evaluating the worst case performance of flexible solutions in single machine scheduling. A flexible solution is a set of schedules following a structure defined by a partial order of jobs and a type of schedules. here, we consider active and non-delay schedules. The proposed structure allows the decision maker to dispose of some flexibility (a set of schedules instead of one schedule) that can be used on-line to absorb the impact of data disturbances related to, for example, job arrival, tool availability or machine breakdowns. The performance is a function of (i) the best case performance providing the decision maker a lower bound of the performance, (ii) the worst case performance giving him a guarantee about how poorly the solution may perform, in both cases when following the considered structure. The worst cases correspond to new scheduling problems, in which a regular criterion must be maximized. We present new algorithms and/or new computational complexity results, in presence of : one machine, different release dates, precedence constraints and various criteria to be maximized.</div>
</front>
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<BibTex type="inproceedings"><ref>aloulou03b</ref>
<crinnumber>A03-R-153</crinnumber>
<category>3</category>
<equipe>MACSI</equipe>
<author><e>Aloulou, Mohamed Ali</e>
<e>Portmann, Marie-Claude</e>
<e>Kovalyov, Mikhail Y.</e>
</author>
<title>Worst case performance evaluation of flexible solutions in single machine scheduling</title>
<booktitle>{Computing Engineering in Systems Applications - CESA'2003, Lille, France}</booktitle>
<year>2003</year>
<month>Jul</month>
<keywords><e>scheduling</e>
<e>single machine</e>
<e>scheduling flexibility</e>
<e>maximization problems</e>
</keywords>
<abstract>In this paper, we consider the problem of evaluating the worst case performance of flexible solutions in single machine scheduling. A flexible solution is a set of schedules following a structure defined by a partial order of jobs and a type of schedules. here, we consider active and non-delay schedules. The proposed structure allows the decision maker to dispose of some flexibility (a set of schedules instead of one schedule) that can be used on-line to absorb the impact of data disturbances related to, for example, job arrival, tool availability or machine breakdowns. The performance is a function of (i) the best case performance providing the decision maker a lower bound of the performance, (ii) the worst case performance giving him a guarantee about how poorly the solution may perform, in both cases when following the considered structure. The worst cases correspond to new scheduling problems, in which a regular criterion must be maximized. We present new algorithms and/or new computational complexity results, in presence of : one machine, different release dates, precedence constraints and various criteria to be maximized.</abstract>
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