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Optimal scheduling of the 3-machine assembly-type flow shop

Mohamed HaouariThouraya Daouas — 2010

RAIRO - Operations Research

We address the 3-Machine Assembly-Type Flowshop Scheduling Problem (3MAF). This problem is known to be NP-complete in the strong sense. We propose an exact branch and bound method based on a recursive enumeration of potential inputs and outputs of the machines. Using this algorithm, several large size instances have been solved to optimality.

Branch-and-bound algorithm for total weighted tardiness minimization on parallel machines under release dates assumptions

Imed KacemNizar SouayahMohamed Haouari — 2012

RAIRO - Operations Research

This paper deals with the parallel-machine scheduling problem with the aim of minimizing the total (weighted) tardiness under the assumption of different release dates. This problem has been proven to be NP-hard. We introduce some new lower and upper bounds based on different approaches. We propose a branch-and-bound algorithm to solve the weighted and unweighted total tardiness. Computational experiments were performed on a large set of instances...

Branch-and-bound algorithm for total weighted tardiness minimization on parallel machines under release dates assumptions

Imed KacemNizar SouayahMohamed Haouari — 2012

RAIRO - Operations Research

This paper deals with the parallel-machine scheduling problem with the aim of minimizing the total (weighted) tardiness under the assumption of different release dates. This problem has been proven to be NP-hard. We introduce some new lower and upper bounds based on different approaches. We propose a branch-and-bound algorithm to solve the weighted and unweighted total tardiness. Computational experiments were performed on a large set of instances...

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