SINGLE-MACHINE SEQUENCING WITH PRECEDENCE CONSTRAINTS AND DEFERRAL COSTS
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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We discuss the problem of sequencing precedence-constrained jobs on a single machine to minimize the average weighted completion time. This problem has attracted much attention in the mathematical programming community since Sidney’s pioneering work in 1975 (Sidney, J. B. 1975. Decomposition algorithms for single machine scheduling with precedence relations and deferral costs. Operations Resear...
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Consider the problem of sequencing n jobs with general precedence constraints on a single machine to minimize total weighted completion time, which is NP-complete. However some class of problems can be solved in polynomial time, i.e .. the problems whose precedence constraints are trees or series parallel. This paper proposes an O(n4) algorithm for implementing a decomposition procedure due to ...
متن کاملSingle Machine Scheduling Problem with Precedence Constraints and Deteriorating Jobs
This paper considers the single machine scheduling problem with precedence constraints and deteriorating jobs and a mathematical model based on binary integer programming (BIP) is developed. Since the precedence constraints exist, a job cannot start before completion of its all predecessors. The proposed model consists of two steps: in the first step, the earliest starting time of each job is c...
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ژورنال
عنوان ژورنال: Journal of the Operations Research Society of Japan
سال: 1979
ISSN: 0453-4514,2188-8299
DOI: 10.15807/jorsj.22.1