Scheduling equal-length jobs on identical parallel machines
نویسندگان
چکیده
منابع مشابه
Scheduling equal-length jobs on identical parallel machines
We study the situation where a set of n jobs with release dates and equal processing times have to be scheduled on m identical parallel machines. We show that, if the objective function can be expressed as the sum of n functions fi of the completion time Ci of each job Ji, the problem can be solved in polynomial time for any fixed value of m. The only restriction is that functions fi have to be...
متن کاملOnline Scheduling of Equal-Length Jobs on Parallel Machines
We study on-line scheduling of equal-length jobs on parallel machines. Our main result is an algorithm with competitive ratio decreasing to e/(e − 1) ≈ 1.58 as the number of machine increases. For m ≥ 3, this is the first algorithm better than 2-competitive greedy algo-
متن کاملBicriteria Scheduling of Equal Length Jobs with Release Dates on Identical Parallel Machines
We consider bicriteria scheduling problems on parallel, identical machines with job release dates. The jobs are assumed to have equal processing times. Our main goal in this paper is to report complexity results for bicriteria problems in this environment when the number of machines is assumed to be a fixed or constant value. The results are based on a straightforward use of the dynamic program...
متن کاملScheduling jobs with equal-processing-time on parallel machines with non-identical capacities to minimize makespan
We consider the problem of scheduling a set of equal-processing-time jobs with arbitrary job sizes on a set of batch machines with different capacities. A job can only be assigned to a machine whose capacity is not smaller than the size of the job. Our goal is to minimize the schedule length (makespan). We show that there is no polynomial-time approximation algorithm with an absolute worst-case...
متن کاملOnline scheduling of two type parallel jobs on identical machines
In this paper we consider an online scheduling of parallel jobs with preemption on identical machines, where jobs arrive over time. The objective is to minimize the makespan. For the problem that jobs have only two possible widths mj = 1 or m, we present an optimal online algorithm by using " temporary schedule " .
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: Discrete Applied Mathematics
سال: 2000
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(99)00238-3