On-line scheduling of unit time jobs with rejection: minimizing the total completion time
نویسندگان
چکیده
We consider on-line scheduling of unit time jobs on a single machine with job-dependent penalties. The jobs arrive on-line (one by one) and can be either accepted and scheduled, or be rejected at the cost of a penalty. The objective is to minimize the total completion time of the accepted jobs plus the sum of the penalties of the rejected jobs. We give an on-line algorithm for this problem with competitive ratio 2 (2 + √ 3) ≈ 1:86602. Moreover, we prove that there does not exist an on-line algorithm with competitive ratio better than 1.63784. c © 2002 Elsevier Science B.V. All rights reserved.
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عنوان ژورنال:
- Oper. Res. Lett.
دوره 30 شماره
صفحات -
تاریخ انتشار 2002