Minimizing the total weighted completion time of fully parallel jobs with integer parallel units
نویسندگان
چکیده
منابع مشابه
Minimizing total weighted completion time approximately for the parallel machine problem with a single server
In this paper, we consider the scheduling problem of minimizing total weighted job completion time when a set of jobs has to be processed on a set of m parallel identical machines with a common server. We propose an approximation algorithm with a worst-case ratio of 3− 1 m . This result improves an existing (5− 1 m ) approximation algorithm given by Wang and Cheng (2001).
متن کاملScheduling Multiple Families of Jobs on Parallel Machines to Minimize Total Weighted Completion Time
We consider the problem of scheduling multiple families of jobs on identical parallel machines to minimize the total weighted completion time of the jobs. In this problem, a setup time is necessary whenever a job from one family is processed immediately after another job from a di erent family. The setup time could be sequence independent or sequence dependent. We propose a column generation ba...
متن کاملA PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the strong sense. The best approximation result known so far was a 2 (1 + √ 2)-approximation algorithm that has been derived by Kawaguchi and Kyan back in 1986. The contribution of this paper is a polynomial time approximat...
متن کاملMinimizing total weighted completion
We study the special case of the m machine ow shop problem in which the processing time of each operation of job j is equal to p j ; this variant of the ow shop problem is known as the proportionate ow shop problem. We show that for any number of machines and for any regular performance criterion we can restrict our search for an optimal schedule to permutation schedules. Moreover, we show that...
متن کاملApproximability of total weighted completion time with resource consuming jobs
In this paper we study an extension of the single machine scheduling problem with the total weighted completion time objective, where there is a single non-renewable resource consumed by the jobs, having an initial stock and some additional replenishments over time. We prove that this problem is NP-hard in the strong sense, and provide an FPTAS for a special case with two supply dates.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2013
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2013.02.017