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Flexible flow shop with dedicated buffers. (English) Zbl 1412.90051
Summary: A two-stage flexible flow shop is considered, where first- and second-stage machines form disjoint pairs, each with a buffer. The buffer capacity varies from pair to pair, and the buffer requirement varies from job to job. Each job is to be assigned to a pair of machines for processing and uses the required amount of buffer from the start till the end of its processing. Operations have equal duration. It is shown that, unless $$\mathrm{P} = \mathrm{NP}$$, no polynomial-time algorithm guarantees a makespan less than $$4 / 3$$ of the optimal. The paper presents two integer linear programs, compared by means of computational experiments. Both approaches utilise as a subroutine the developed polynomial-time algorithm for the case of equal buffers.
##### MSC:
 90B35 Deterministic scheduling theory in operations research 68Q25 Analysis of algorithms and problem complexity 90C10 Integer programming
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##### References:
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