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The sequence-dependent assembly line balancing problem

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Abstract

Assembly line balancing problems (ALBP) arise whenever an assembly line is configured, redesigned or adjusted. An ALBP consists of distributing the total workload for manufacturing any unit of the products to be assembled among the work stations along the line. The sequence-dependent assembly line balancing problem (SDALBP) is an extension of the standard simple assembly line balancing problem (SALBP) which has significant relevance in real-world assembly line settings. SDALBP extends the basic problem by considering sequence-dependent task times. In this paper, we define this new problem, formulate several versions of a mixed-integer program, adapt solution approaches for SALBP to SDALBP, generate test data and perform some preliminary computational experiments. As a main result, we find that applying SALBP-based search procedures is very effective, whereas modelling and solving the problem with MIP standard software is not recommendable.

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References

  • Baybars I (1986) A survey of exact algorithms for the simple assembly line balancing problem. Manage Sci 32:909–932

    Google Scholar 

  • Becker C, Scholl A (2006) A survey on problems and methods in generalized assembly line balancing. Eur J Oper Res 168:694–715

    Article  Google Scholar 

  • Bockmayr A, Pisaruk N (2001) Solving assembly line balancing problems by combining IP and CP. In: Proceedings of the 6th Annual Workshop of the ERCIM Working Group on Constraints, Prague, Czech Republic

  • Bowman EH (1960) Assembly-line balancing by linear programming. Oper Res 8:385–389

    Google Scholar 

  • Boysen N, Fliedner M, Scholl A (2006) A classification of assembly line balancing problems. Eur J Oper Res (in press)

  • Erel E, Sarin SC (1998) A survey of the assembly line balancing procedures. Prod Plan Control 9:414–434

    Article  Google Scholar 

  • Ghosh S, Gagnon RJ (1989) A comprehensive literature review and analysis of the design, balancing and scheduling of assembly systems. Int J Prod Res 27:637–670

    Article  Google Scholar 

  • Hackman ST, Magazine MJ, Wee TS (1989) Fast, effective algorithms for simple assembly line balancing problems. Oper Res 37:916–924

    Google Scholar 

  • Hoffmann TR (1992) EUREKA: a hybrid system for assembly line balancing. Manage Sci 38:39–47

    Google Scholar 

  • Johnson RV (1988) Optimally balancing large assembly lines with “FABLE”. Manage Sci 34:240–253

    Google Scholar 

  • Lübke M (2006) Methoden der Präferenzmessung: Formale Analyse, Vergleich und Weiterentwicklung. Diploma Thesis, University of Jena

  • Patterson JH, Albracht JJ (1975) Assembly-line balancing: Zero-one programming with Fibonacci search. Oper Res 23:166–172

    Google Scholar 

  • Peeters M, Degraeve Z (2006) An linear programming based lower bound for the simple assembly line balancing problem. Eur J Oper Res 168:716–731

    Article  Google Scholar 

  • Pinnoi A, Wilhelm WE (1997) A family of hierarchical models for assembly system design. Int J Prod Res 35:253–280

    Article  Google Scholar 

  • Rekiek B, Dolgui A, Delchambre A, Bratcu A (2002) State of art of optimization methods for assembly line design. Annu Rev Control 26:163–174

    Article  Google Scholar 

  • de Reyck B, Herroelen W (1997) Assembly line balancing by resource-constrained project scheduling—A critical appraisal. Found Comput Control Eng 22:143–167

    Google Scholar 

  • Saltzman MJ, Baybars I (1987) A two-process implicit enumeration algorithm for the simple assembly line balancing problem. Eur J Oper Res 32:118–129

    Article  Google Scholar 

  • Scholl A (1993) Data of assembly line balancing problems. Schriften zur Quantitativen Betriebswirtschaftslehre 16/93, TU Darmstadt

  • Scholl A (1999) Balancing and sequencing assembly lines, 2nd edn. Physica, Heidelberg

    Google Scholar 

  • Scholl A, Becker C (2006) State-of-the-art exact and heuristic solution procedures for simple assembly line balancing. Eur J Oper Res 168:666–693

    Article  Google Scholar 

  • Scholl A, Klein R (1997) SALOME: A bidirectional branch and bound procedure for assembly line balancing. Inf J Comput 9:319–334

    Google Scholar 

  • Scholl A, Klein R (1999) Balancing assembly lines effectively—a computational comparison. Eur J Oper Res 114:50–58

    Article  Google Scholar 

  • Scholl A, Voß S (1996) Simple assembly line balancing—Heuristic approaches. J Heuristics 2:217–244

    Article  Google Scholar 

  • Sprecher A (1999) A competitive branch-and-bound algorithm for the simple assembly line balancing problem. Int J Prod Res 37:1787–1816

    Article  Google Scholar 

  • Talbot FB, Patterson JH, Gehrlein WV (1986) A comparative evaluation of heuristic line balancing techniques. Manage Sci 32:430–454

    Article  Google Scholar 

  • Thangavelu SR, Shetty CM (1971) Assembly line balancing by zero-one integer programming. AIIE Trans 3:61–68

    Google Scholar 

  • Ugurdag HF, Rachamadugu R, Papachristou CA (1997) Designing paced assembly lines with fixed number of stations. Eur J Oper Res 102:488–501

    Article  Google Scholar 

  • Wee TS, Magazine MJ (1982) Assembly line balancing as generalized bin packing. Oper Res Lett 1:56–58

    Article  Google Scholar 

  • White WW (1961) Comments on a paper by Bowman. Oper Res 9:274–276

    Google Scholar 

  • Williams HP (1999) Model building in mathematical programming, 4th edn. Wiley, New York

    Google Scholar 

Download references

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Authors and Affiliations

  1. Fakultät für Wirtschaftswissenschaften, Lehrstuhl für Betriebswirtschaftliche Entscheidungsanalyse, Friedrich-Schiller-Universität Jena, Carl-Zeiß-Straße 3, 07743, Jena, Germany

    Armin Scholl

  2. Fakultät Wirtschafts- und Sozialwissenschaften, Institut für Industrielles Management, Universität Hamburg, Von-Melle-Park 5, 20146, Hamburg, Germany

    Nils Boysen & Malte Fliedner

Authors
  1. Armin Scholl
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  2. Nils Boysen
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  3. Malte Fliedner
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Correspondence to Armin Scholl.

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Scholl, A., Boysen, N. & Fliedner, M. The sequence-dependent assembly line balancing problem. OR Spectrum 30, 579–609 (2008). https://doi.org/10.1007/s00291-006-0070-3

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