Mixed-Integer Programming Models for Flowshop Scheduling Problems Minimizing the Total Earliness and Tardiness

  • Débora P. RonconiEmail author
  • Ernesto G. Birgin
Part of the Springer Optimization and Its Applications book series (SOIA, volume 60)


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.



This work was supported by PRONEX-CNPq/FAPERJ (E-26/171.1510/2006-APQ1), FAPESP (Grants 2006/53768-0, 2006/03496-3 and 2009/10241-0), and CNPq (308000/2009-9 and 304484/2007-5).


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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Production Engineering, EP-USPUniversity of São PauloSão PauloBrazil
  2. 2.Department of Computer Science, IME-USPUniversity of São PauloSão PauloBrazil

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