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Minimizing makespan on a single batching machine with release times and non-identical job sizes

โœ Scribed by Shuguang Li; Guojun Li; Xiaoli Wang; Qiming Liu


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
214 KB
Volume
33
Category
Article
ISSN
0167-6377

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โœฆ Synopsis


We consider the problem of scheduling jobs with release times and non-identical job sizes on a single batching machine; our objective is to minimize makespan. We present an approximation algorithm with worst-case ratio 2 + , where ยฟ 0 can be made arbitrarily small.


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The importance of the ready times can be found in Wafer fabrication with the presence of unequal ready times. It is sometimes advantageous to form a non-full batch, while in other situations it is a better strategy to wait for future job arrivals in order to increase the fullness of the batch. On th