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Clustered flow shop models

Journal of Global Optimization, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The clustered flow-shop problem

Zeitschrift für Operations Research, 1988
This paper considers a generalization of the classical flow-shop problem where n items, grouped into k fixed sequences (clusters) are processed on m machines. A permutation is being sought that minimizes the completion time of processing all items. This paper develops conditions when the clustered problem can be reduced to a classical case.
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Efficiency of reductions of job-shop to flow-shop problems

European Journal of Operational Research, 2000
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Flow shop vs. permutation shop with time delays

Computers & Industrial Engineering, 2005
This paper considers the evaluation of the worst-case performance ratio between the best solution of the flow shop problem and the permutation flow shop with time delays considerations. It is observed that, even in the restricted case of two machines and unit execution time operations, the two models may generate different optimal values for the ...
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Inequalities for stochastic flow shops and job shops

Applied Stochastic Models and Data Analysis, 1986
AbstractConsider an m‐machine flow shop with n jobs. The processing time of job j, j = 1,…, n, on each one of the m machines is equal to the random variable Xj and is distributed according to Fj. We show that, under certain conditions, more homogeneous distributions F1,…, Fn result in a smaller expected makespan.
Pinedo, Michael, Wie, Sung-Hwan
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The Robust Flow Shop

2012
In this chapter, job processing requirements are considered to be uncertain. They are no longer assumed to be deterministically known. One modeling approach would be to consider processing time probability distributions, and indeed this is done in a later chapter.
Hamilton Emmons, George Vairaktarakis
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Reentrant Flow Shops

2012
We introduce flow shops that revisit certain processors, and define the common patterns of flow: cyclic, chain, hub, and V-shaped. We show that even the simplest case, the (1,2,1)-reentrant shop, is NPhard, establish properties that facilitate a branch-and-bound algorithm, and present two simple but very effective heuristics.
Hamilton Emmons, George Vairaktarakis
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A Note on Permutation Flow Shop Problem

Annals of Operations Research, 2004
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Flow Shop Scheduling

2019
Consider scheduling tasks on dedicated processors or machines. We assume that tasks belong to a set of n jobs, each of which is characterized by the same machine sequence.
Jacek Blazewicz   +5 more
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A Comparative Study of Flow-Shop Algorithms

Operations Research, 1975
This paper describes an experimental comparison of flow-shop algorithms, motivated by the need to consolidate recent research on this topic. Using a set of test problems, it investigated various branch-and-bound and elimination strategies in a comparative study and then combined them to produce a new and efficient solution algorithm.
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