Multitasking scheduling with alternate periods

In this paper, we consider the multitasking scheduling with alternate odd-period and even-period. For the minimization of makespan on one single machine, we present a 2-approximation algorithm for the general case and a 4 3 -approximation algorithm for a special case when jobs have identical release...

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Vydáno v:Journal of combinatorial optimization Ročník 45; číslo 3; s. 92
Hlavní autoři: Huo, Yujia, Miao, Cuixia, Kong, Fanyu, Zhang, Yuzhong
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.04.2023
Springer Nature B.V
Témata:
Algorithms
Approximation
Combinatorics
Convex and Discrete Geometry
Dynamic programming
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Multitasking
Operations Research/Decision Theory
Optimization
Polynomials
Scheduling
Theory of Computation
Strongly NP-hard
Multitasking scheduling
Approximation algorithm
Pseudo-polynomial-time algorithm
ISSN:1382-6905, 1573-2886
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Popis
Shrnutí:In this paper, we consider the multitasking scheduling with alternate odd-period and even-period. For the minimization of makespan on one single machine, we present a 2-approximation algorithm for the general case and a 4 3 -approximation algorithm for a special case when jobs have identical release dates. And we prove that the problem is strongly NP-hard when jobs have different release dates. For the minimization of makespan on identical parallel machines, we present a ( 5 2 - 1 m ) -approximation algorithm for the general case and a pseudo-polynomial time algorithm when the number of machines is constant. Furthermore, we prove that the single-machine scheduling of minimizing the lateness is strongly NP-hard.
Bibliografie:ObjectType-Article-1
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ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-023-01020-x