Titre : |
Scheduling, to minimize total cost |
Type de document : |
texte imprimé |
Auteurs : |
Hocine Belouadah, Auteur ; C. N. Potts, Directeur de thèse |
Editeur : |
Keele [England] : [s.n.] |
Année de publication : |
1985 |
Importance : |
90 f. |
Présentation : |
ill. |
Format : |
30 cm. |
Note générale : |
Master Thesis : Mathematics : University of Keele : 1985
Bibliogr. f. I - VIII |
Langues : |
Anglais (eng) |
Mots-clés : |
Machine scheduling
Splitting technique
Costs
Lower bound |
Index. décimale : |
Ms01085 |
Résumé : |
The research carried out in this thesis falls in the general area of machine scheduling.
The plan of the thesis is as follows.
The initial chapters focus on a description of machine scheduling problems to minimize total cost, and the approaches that are used to solve them.
Also included is a review of the relevant literature.
The next chapter gives a general description of a new job splitting technique that is used to derive lower bounds.
It is shown that the technique can be applied in the case where costs are either a linear or an exponential function of completion times.
The two following chapters apply the job splitting technique to a single machine scheduling problem and to a problem of scheduling on identical parallel machines.
In earch case, a lower bound is obtained from job splitting, and various dominance rules are derived; these are incorporated into a branch and bound algorithm.
Computational experience indicates that the branch and bound algorithms are reasonably efficient.
Finally, a conclusion and possible further development of the results derived are included in the final chapter. |
Scheduling, to minimize total cost [texte imprimé] / Hocine Belouadah, Auteur ; C. N. Potts, Directeur de thèse . - Keele [England] : [s.n.], 1985 . - 90 f. : ill. ; 30 cm. Master Thesis : Mathematics : University of Keele : 1985
Bibliogr. f. I - VIII Langues : Anglais ( eng)
Mots-clés : |
Machine scheduling
Splitting technique
Costs
Lower bound |
Index. décimale : |
Ms01085 |
Résumé : |
The research carried out in this thesis falls in the general area of machine scheduling.
The plan of the thesis is as follows.
The initial chapters focus on a description of machine scheduling problems to minimize total cost, and the approaches that are used to solve them.
Also included is a review of the relevant literature.
The next chapter gives a general description of a new job splitting technique that is used to derive lower bounds.
It is shown that the technique can be applied in the case where costs are either a linear or an exponential function of completion times.
The two following chapters apply the job splitting technique to a single machine scheduling problem and to a problem of scheduling on identical parallel machines.
In earch case, a lower bound is obtained from job splitting, and various dominance rules are derived; these are incorporated into a branch and bound algorithm.
Computational experience indicates that the branch and bound algorithms are reasonably efficient.
Finally, a conclusion and possible further development of the results derived are included in the final chapter. |
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