Scheduling problems with batching machines and compatibility constraints
Identifieur interne : 003319 ( Main/Exploration ); précédent : 003318; suivant : 003320Scheduling problems with batching machines and compatibility constraints
Auteurs : Adrien Bellanger [France]Source :
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Abstract
This thesis deals with 2-stages hybrid flowshop scheduling problems with batching ma- chines on the second stage and compatibility constraints. The processing times of tasks are given by intervals and tasks are compatible if they share a same second stage processing time. We developped 6 heuristics with worth-case analysis for the makespan minimization problem. The experimental results show that these heuristics give good schedules with an average gap of 1% on 200 task instances. For small instances, we presented 2 exact methods, Branch & Bounds, which solves up to 20 task instances. For the particular case with identical processing times on first stage and uniform processing time intervals we developped a Polynomial Time Approximation Scheme (PTAS). The second part of this thesis deal with scheduling problems on one batching machine with infinite capacity and regular criteria minimization. We developped pseudo-polynomial dynamic programming algorithm for minimization total completion time, maximal lateness and total tardiness. Finally we show the NP-completeness of problems with due dates.
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Le document en format XML
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<front><div type="abstract" xml:lang="en">This thesis deals with 2-stages hybrid flowshop scheduling problems with batching ma- chines on the second stage and compatibility constraints. The processing times of tasks are given by intervals and tasks are compatible if they share a same second stage processing time. We developped 6 heuristics with worth-case analysis for the makespan minimization problem. The experimental results show that these heuristics give good schedules with an average gap of 1% on 200 task instances. For small instances, we presented 2 exact methods, Branch & Bounds, which solves up to 20 task instances. For the particular case with identical processing times on first stage and uniform processing time intervals we developped a Polynomial Time Approximation Scheme (PTAS). The second part of this thesis deal with scheduling problems on one batching machine with infinite capacity and regular criteria minimization. We developped pseudo-polynomial dynamic programming algorithm for minimization total completion time, maximal lateness and total tardiness. Finally we show the NP-completeness of problems with due dates.</div>
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