On-line scheduling with precedence constraints
نویسندگان
چکیده
منابع مشابه
On-Line Scheduling with Precedence Constraints
We consider the on-line problem of scheduling jobs with precedence constraints on m machines. We concentrate in two models, the model of uniformly related machines and the model of restricted assignment. For the related machines model, we show a lower bound of (p m) for the competitive ratio of deterministic and randomized on-line algorithms, with or without preemptions even for known running t...
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This paper considers the single machine scheduling problem with precedence constraints and deteriorating jobs. A mathematical model based on binary integer programming (BIP) is developed. By these precedence constraints, jobs can not start before completion of its all predecessors. The represented model is in two steps, in step one the earliest starting time of each job is computed, then the re...
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x{ Scope and Purpose. | We consider a scheduling problem in a two-processor system where (i) every job can be processed on only one machine and where (ii) there are chain-type precedence relations among the jobs. The goal is to minimize the makespan. This continues the work of Chang and Lee 1], Jansen 4] and of Kellerer and Woeginger 5]. Abstract. | We consider a special case of the precedence ...
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We consider the on-line scheduling problem of jobs with precedence constraints on m parallel identical machines. Each job has a time processing requirement, and may depend on other jobs (has to be processed after them). A job arrives only after its predecessors have been completed. The cost of an algorithm is the time that the last job is completed. We show lower bounds on the competitive ratio...
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This paper deals with a three-machine flow-shop problem in which some of the job sequences are infeasible. It is assumed that jobs are grouped into several disJoint subsets within which a job order is pre-determined. Once the first job in a group has started on a machine, then the entire group must be completed on the machine without starting a job which does not belong to the group. It is furt...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2002
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(01)00272-4