Scheduling with precedence constraints: Worst-case analysis of priority algorithms
نویسندگان
چکیده
منابع مشابه
Single Machine Scheduling Problem with Precedence Constraints and Deteriorating Jobs
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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The problem of scheduling jobs with precedence constraints is a central problem in Scheduling Theory which arises in many industrial and scientific applications. In this paper we present a polynomial time approximation scheme for the problem of scheduling jobs with chain precedence constraints on a fixed number of uniformly related machines. Our algorithm works even if we allow “slow” machines ...
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We consider parallel, identical machine scheduling problems where the jobs are subject to precedence constraints, release dates, and the processing times of jobs are governed by independent probability distributions. The objective is to minimize the expected value of the total weighted completion time ∑w j C j , where w j 0. Building upon a linear programming relaxation by Möhring, Schulz, and ...
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c © 2007 by John von Neumann Institute for Computing Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher ment...
متن کاملUet-scheduling with Chain-type Precedence Constraints Uet|scheduling with Chain-type Precedence Constraints
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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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700033827