کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6871935 681683 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scheduling a single machine with parallel batching to minimize makespan and total rejection cost
ترجمه فارسی عنوان
برنامه ریزی یک ماشین واحد با دسته بندی موازی برای به حداقل رساندن هزینه پرداخت و هزینه کل
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی
We consider the problem of scheduling a set of n jobs on a single machine with parallel batching and with rejection being allowed. Two bi-criteria problems are considered: (a) minimize the makespan subject to the constraint that the total rejection cost does not exceed a given threshold, and (b) minimize the total rejection cost subject to the constraint that the makespan does not exceed a given threshold. For the case of a batching machine with infinite capacity (i.e., the batch size allowed on the machine is larger than or equal to the number of jobs), we assume that the jobs have release dates. We present an O(n2)-time 2-approximation algorithm for problem (a) and, in addition, we present dynamic programming algorithms and fully polynomial-time approximation schemes for both problems (a) and (b). For the case of a batching machine with finite capacity (i.e., the batch size allowed on the machine is less than the number of jobs), we assume that the jobs have identical release dates. We propose approximation algorithms for (a) and present dynamic programming algorithms and fully polynomial-time approximation schemes for both problems (a) and (b).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 204, 11 May 2016, Pages 150-163
نویسندگان
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