A metric for total tardiness minimization

In this paper we consider the NP-hard 1| r j |Σ T j scheduling problem, suggesting a polynomial algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs a metric introduced in the parameter space. In addition, we study the possible application of such an a...

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Published inAutomation and remote control Vol. 78; no. 4; pp. 732 - 740
Main Authors Lazarev, A. A., Korenev, P. S., Sologub, A. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.04.2017
Springer Nature B.V
Subjects
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Computer-Aided Engineering (CAD
Control
Large Scale Systems Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Production scheduling
Robotics
Scheduling
Systems Theory
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Abstract In this paper we consider the NP-hard 1| r j |Σ T j scheduling problem, suggesting a polynomial algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs a metric introduced in the parameter space. In addition, we study the possible application of such an approach to other scheduling problems.
AbstractList In this paper we consider the NP-hard 1|rj|ΣTj scheduling problem, suggesting a polynomial algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs a metric introduced in the parameter space. In addition, we study the possible application of such an approach to other scheduling problems.
In this paper we consider the NP-hard 1| r j |Σ T j scheduling problem, suggesting a polynomial algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs a metric introduced in the parameter space. In addition, we study the possible application of such an approach to other scheduling problems.
Author Korenev, P. S.
Lazarev, A. A.
Sologub, A. A.
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Du, Leung (CR5) 1990; 15
Lazarev, Gafarov (CR2) 2006
Lawler (CR7) 1977; 1
Lazarev, Sadykov, Sevastyanov (CR3) 2007; 1
Baptiste (CR4) 2000; 103
Lazarev, Werner (CR9) 2009; 49
Graham, Lawler, Lenstra (CR6) 1979; 5
Lawler (CR8) 1982; 1
J. Du (615_CR5) 1990; 15
R.L. Graham (615_CR6) 1979; 5
A.A. Lazarev (615_CR9) 2009; 49
A.A. Lazarev (615_CR1) 2010; 81
A.A. Lazarev (615_CR2) 2006
P. Baptiste (615_CR4) 2000; 103
A.A. Lazarev (615_CR3) 2007; 1
E.L. Lawler (615_CR7) 1977; 1
E.L. Lawler (615_CR8) 1982; 1
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Calculus of Variations and Optimal Control; Optimization
Computer-Aided Engineering (CAD
Control
Large Scale Systems Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Production scheduling
Robotics
Scheduling
Systems Theory
Title A metric for total tardiness minimization
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