Abstract
This paper is concerned with hybrid flow shop scheduling taking account of different additional constraints, especially transportation requests. Our objective is total weighted completion time minimization. We develop a fast (two phase) heuristic solution technique, which is based on simple dispatching rules. To evaluate our approach empirically, we introduce and analyze lower bounds based on the LP relaxation of time-indexed mixed-integer formulations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Azizoğlu, E. çakmak, and S. Kondakci. A flexible flowshop problem with total flow time minimization. Eur. J. Oper. Res., 132(3): 528–538, 2001.
J. Carlier, M. Haouari, M. Kharbeche, and A. Moukrim. An optimization-based heuristic for the robotic cell problem. Eur. J. Oper. Res., 202: 636–645, 2010.
M.E. Dyer and L.A. Wolsey. Formulating the single machine sequencing problem with release dates as a mixed integer program. Discrete Appl. Math., 26: 255–270, 1990.
M.X. Goemans. A supermodular relaxation for scheduling with release dates. In Queyranne (Eds.), Integer Programming and Combinatorial Optimization, Lect. Notes Comput. Sci., pages 288–300. Springer, 1996.
J. Hurink and S. Knust. List scheduling in a parallel machine environment with precedence constraints and setup times. Oper. Res. Lett., 29: 231–239, 2001.
G.J. Kyparisis and C. Koulamas. A note on weighted completion time minimization in a flexible flow shop. Oper. Res. Lett., 29: 5–11, 2001.
M. Queyranne and A.S. Schulz. Approximation bounds for a general class of precedence constrained parallel machine scheduling problems. SIAM J. Comp., 35(5): 1241–1253, 2006.
A.S. Schulz. Scheduling to minimize total weighted completion time: Performance guarantees of LP-based heuristics and lower bounds. Lect. Notes Comput. Sci., 1084: 301–315, 1996.
M.X. Weng, J. Lu, and H. Ren. Unrelated parallel machine scheduling with setup consideration and a total weighted completion time objective. Int. J. Prod. Eco., 70: 215–226, 2001.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gondek, V. (2011). Hybrid Flow Shop Scheduling: Heuristic Solutions and LP-Based Lower Bounds. In: Hu, B., Morasch, K., Pickl, S., Siegle, M. (eds) Operations Research Proceedings 2010. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20009-0_77
Download citation
DOI: https://doi.org/10.1007/978-3-642-20009-0_77
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20008-3
Online ISBN: 978-3-642-20009-0
eBook Packages: Business and EconomicsBusiness and Management (R0)