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A 3/2-Approximation for the Proportionate Two-Machine Flow Shop Scheduling with Minimum Delays

Journal of Applied and Industrial Mathematics, 2008
We study the two-machine flow shop problem with minimum delays. The problem is known to be strongly NP-hard even in the case of unit processing times and to be approximable within a factor of 2 of the length of an optimal schedule in the general case.
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Improved algorithm for minimizing total late work on a proportionate flow shop and extensions to job rejection and generalized due dates

Computers and Operations Research
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baruch Mor, Xin-Na Geng
exaly   +2 more sources

Dynamic Programming for Proportionate Flow-Shop Scheduling with Due-Date Assignment

Asia-Pacific Journal of Operational Research
This paper examines proportionate flow-shop scheduling with general earliness/tardiness costs under two due-date assignment models: the common and slack models. The objective is to determine the optimal job sequence and due dates to minimize a total penalty function that includes earliness and tardiness penalties, the number of early and delayed jobs ...
Lei Pan, Xinyu Sun, Xin-Na Geng
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Simultaneous minimisation of mean and variation of waiting times in a two-stage proportionate blocking flow shop

Journal of the Operational Research Society, 2022
Christos Koulamas, George J. Kyparisis
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An FPTAS and an SFPTAS for maximizing the weighted number of just-in-time jobs in a proportionate flow shop system

The Fourth International Workshop on Dynamic Scheduling Problems, Zurich University of Applied Sciences (ZHAW) School of Engineering, June 5th–6th, 2023, Winterthur, Switzerland, 2023
Stanisław Gawiejnowicz, Nir Halman
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A faster FPTAS for proportionate flow shop scheduling with step-deteriorating processing times

The Fourth International Workshop on Dynamic Scheduling Problems, Zurich University of Applied Sciences (ZHAW) School of Engineering, June 5th–6th, 2023, Winterthur, Switzerland, 2023
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Simultaneous minimisation of mean and variation of waiting times in a two-stage proportionate blocking flow shop

Journal of the Operational Research Society
Christos Koulamas, George J Kyparisis
exaly  

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