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Mixed-integer programming models for flowshop scheduling problems minimizing the total earliness and tardiness. (English) Zbl 1355.90028

Ríos-Mercado, Roger Z. (ed.) et al., Just-in-time systems. New York, NY: Springer (ISBN 978-1-4614-1122-2/hbk; 978-1-4614-1123-9/ebook). Springer Optimization and Its Applications 60, 91-105 (2012).
Summary: Scheduling problems involving both earliness and tardiness costs have received significant attention in recent years. This type of problem became important with the advent of the just-in-time (JIT) concept, where early or tardy deliveries are highly discouraged. In this work we examine the flowshop scheduling problem with no storage constraints and with blocking in-process. In this latter environment, there are no buffers between successive machines; therefore, intermediate queues of jobs waiting in the system for their next operations are not allowed. Performance is measured by the minimization of the sum of earliness and tardiness of the jobs. Mixed-integer models that represent these scheduling flowshop problems are presented. The models are evaluated and compared in several problems using commercial known software.
For the entire collection see [Zbl 1231.90005].

MSC:

90B35 Deterministic scheduling theory in operations research
90C11 Mixed integer programming

Software:

AMPL
Full Text: DOI

References:

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