Improving the solution complexity of the scheduling problem with deadlines: A general technique
RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 681-687.

The aim of this paper is to develop improved polynomial-time approximation algorithms belonging to the family of the fully polynomial time approximation schemes (FPTAS) for a group of scheduling problems. In particular, the new technique provides a positive answer to a question posed more than three decades ago by Gens and Levner [G.V. Gens and E.V. Levner, Discrete Appl. Math. 3 (1981) 313–318]: “Can an epsilon-approximation algorithm be found for the minimization version of the job-sequencing-with-deadlines problem running with the same complexity as the algorithms for the maximization form of the problem?”

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016021
Classification : 41A29, 41A10, 65D15, 65Y10, 68Q25
Mots-clés : Job-sequencing-with-deadlines scheduling problem, approximation algorithm, FPTAS
Elalouf, Amir 1 ; Levner, Eugene 2

1 Bar Ilan University, Ramat Gan, Israel.
2 Ashkelon Academic College, Ashkelon, Israel.
@article{RO_2016__50_4-5_681_0,
     author = {Elalouf, Amir and Levner, Eugene},
     title = {Improving the solution complexity of the scheduling problem with deadlines: {A} general technique},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {681--687},
     publisher = {EDP-Sciences},
     volume = {50},
     number = {4-5},
     year = {2016},
     doi = {10.1051/ro/2016021},
     zbl = {1357.90052},
     mrnumber = {3570524},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro/2016021/}
}
TY  - JOUR
AU  - Elalouf, Amir
AU  - Levner, Eugene
TI  - Improving the solution complexity of the scheduling problem with deadlines: A general technique
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2016
SP  - 681
EP  - 687
VL  - 50
IS  - 4-5
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ro/2016021/
DO  - 10.1051/ro/2016021
LA  - en
ID  - RO_2016__50_4-5_681_0
ER  - 
%0 Journal Article
%A Elalouf, Amir
%A Levner, Eugene
%T Improving the solution complexity of the scheduling problem with deadlines: A general technique
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2016
%P 681-687
%V 50
%N 4-5
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ro/2016021/
%R 10.1051/ro/2016021
%G en
%F RO_2016__50_4-5_681_0
Elalouf, Amir; Levner, Eugene. Improving the solution complexity of the scheduling problem with deadlines: A general technique. RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 681-687. doi : 10.1051/ro/2016021. http://www.numdam.org/articles/10.1051/ro/2016021/

A. Elalouf, E. Levner and E. Cheng, Routing and dispatching of multiple mobile agents in integrated enterprises. Int. J. Prod. Econ. 145 (2013) 96–106. | DOI

A. Elalouf, E. Levner and H. Tang. An improved FPTAS for maximizing the weighted number of just-in-time jobs in a two-machine flow shop problem. J. Scheduling 16 (2013) 429–435. | DOI | MR | Zbl

F. Ergun, R. Sinha and L. Zhang, An improved FPTAS for restricted shortest path. Inf. Proc. Lett. 83 (2002) 287–291. | DOI | MR | Zbl

M.R. Garey and D.S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman and Co. (1979). | MR | Zbl

G.V. Gens and E.V. Levner, Approximation algorithm for some scheduling problems. Eng. Cybernet. Soviet J. Comput. Syst. Sci. 16 (1978) 38–46. | MR

G.V. Gens and E.V. Levner, Fast approximation algorithm for job sequencing with deadlines. Discrete Appl. Math. 3 (1981) 313–318. | DOI | Zbl

R. Hassin, Approximation schemes for the restricted shortest path problem. Math. Oper. Res. 17 (1992) 36–42. | DOI | MR | Zbl

I. Kacem, H. Kellerer and Y. Lanuel, Approximation algorithms for maximizing the weighted number of early jobs on a single machine with non-availability intervals. J. Combin. Optim. (2015) 30 403–412. | DOI | MR | Zbl

R.M. Karp, Reducibility among combinatorial problems. In Complexity of Computer Computations, edited by R.E. Miller and L.W. Thatcher. Plenum Press (1972) 85–104. | MR | Zbl

E.L. Lawler and J.M. Moore, A functional equation and its application to resource allocation and sequencing problems. Manage. Sci. 16 (1969) 77–84. | DOI | Zbl

E. Levner, A. Elalouf and T.C.E. Cheng, An improved FPTAS for mobile agent routing with time constraints. J. Universal Comput. Sci. 17 (2011) 1854–1862. | MR | Zbl

S. Sahni, Algorithms for scheduling independent tasks. J. Assoc. Comput. Mach. 23 (1976) 116–127. | DOI | MR | Zbl

S. Sahni, General techniques for combinatorial approximation. Oper. Res. 25 (1977) 920–936. | DOI | MR | Zbl

D. Shabtay and Y. Bensoussan, Maximizing the weighted number of just-in-time jobs in several two-machine scheduling systems. J. Scheduling 15 (2012) 39–47. | DOI | MR | Zbl

W.E. Smith, Various optimizers for single-stage production. Nav. Res. Logist. Quart. 3 (1956) 59–66. | DOI | MR

A. Warburton, Approximation of Pareto optima in multiple objective, shortest path problems. Oper. Res. 35 (1987) 70–79. | DOI | MR | Zbl

Cité par Sources :