Skip to main content
Log in

A line-balancing strategy for designing flexible assembly systems

  • Published:
International Journal of Flexible Manufacturing Systems Aims and scope Submit manuscript

Abstract

We present a rough-cut analysis tool that quickly determines a few potential cost-effective designs at the initial design stage of flexible assembly systems (FASs) prior to a detailed analysis such as simulation. It uses quantitative methods for selecting and configuring the components of an FAS suitable for medium to high volumes of several similar products. The system is organized as a series of assembly stations linked with an automated material-handling system moving parts in a unidirectional flow. Each station consists of a single machine or of identical parallel machines. The methods exploit the ability of flexible hardware to switch almost instantaneously from product to product. Our approach is particularly suitable where the product mix is expected to be stable, since we combine the hardware-configuration phase with the task-allocation phase.

For the required volume of products, we use integer programming to select the number of stations and the number of machines at each station and to allocate tasks to stations. We use queueing network analysis, which takes into account the mean and variance of processing times among different products to determine the necessary capacity of the material-handling system. We iterate between the two analyses to find the combined solution with the lowest costs. Work-in-process costs are also included in the analysis. Computational results are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • AkellaR., SinghM., and BassokY., “Real Time Part Dispatch in Flexible Assembly Test and Manufacturing Systems,” Technical Report, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA (1988).

    Google Scholar 

  • AmmonsJ.C., LofgrenC.B., and McGinnisL.F., “A Large Scale Machine Loading Problem in Flexible Assembly,” Annals of Operations Research, Vol. 3, pp. 319–332 (1985).

    Google Scholar 

  • BaybarsI., “A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem,” Management Science, Vol. 32, No. 8, pp. 909–932 (August 1986).

    Google Scholar 

  • BerradaM. and SteckeK.E., “A Branch and Bound approach for Machine Load Balancing in Flexible Manufacturing Systems,” Management Science, Vol. 32, No. 10, pp. 1316–1335 (October 1986).

    Google Scholar 

  • BoothroydG., PoliC., and MurchL., Automatic Assembly, Marcel Dekker, New York, NY (1982).

    Google Scholar 

  • BrowneJ., ChanW., and RathmillK., “An Integrated FMS Design Procedure,” Annals of Operations Research, Vol. 3, pp. 207–237 (1985).

    Google Scholar 

  • BulgakA. and SandersJ., “Hybrid Algorithms for Design Optimization of Asynchronous Flexible Assembly Systems with Statistical Process Control and Repair,” Proceedings of the 3rd ORSA/TIMS Conference on Flexible Manufacturing Systems, M.I.T., Cambridge, MA. K.Stecke and R.Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 275–280 (August 1989).

    Google Scholar 

  • BuzenJ.P., “Computational Algorithms for Closed Queueing Networks with Exponential Servers,” Communications of the Association of Computing Machinery, Vol. 16, No. 9, pp. 527–531 (1973).

    Google Scholar 

  • DalleryY. and FreinY., “An Efficient Method to Determine the Optimal Configuration of a Flexible Manufacturing System,” Proceedings of the 2nd ORSA/TIMS Conference on Flexible Manufacturing Systems, Ann Arbor, MI, K.Stecke and R.Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 269–282 (August 1986).

    Google Scholar 

  • DalleryY. and SteckeK., “On the Optimal Allocation of Servers and Workloads in Closed Queueing Networks,” Operations Research, Vol. 38, No. 4, pp. 694–703 (July–August 1990).

    Google Scholar 

  • DenningP. and BuzenJ., “The Operational Analysis of Queueing Network Models,” Association of Computing Machinery Computing Surveys, Vol. 10, No. 3, pp. 225–261 (1978).

    Google Scholar 

  • GershwinS., AkellaR., and ChoongY., “Short-term Production Scheduling of an Automated Manufacturing Facility,” Annals of Operations Research, Vol. 3, pp. 392–400 (1985).

    Google Scholar 

  • GrahamG.S., “Queueing Network Models of Computer System Performances,” Computing Surveys, Vol. 10, No. 3, pp. 219–224 (1978).

    Google Scholar 

  • GravesS.C. and RedfieldC.H., “Equipment Selection and Task Assignment for Multiproduct Assembly System Design,” International Journal of Flexible Manufacturing Systems, Vol. 1, No. 1, pp. 31–50 (September 1988).

    Google Scholar 

  • GrooverM., WeissM., NagelR., and OdreyN. Industrial Robotics, McGraw-Hill, New York, NY (1986).

    Google Scholar 

  • HallD.N. and SteckeK.E., “Design Problems of Flexible Assembly Systems,” Proceedings of the 2nd ORSA/TIMS Conference on Flexible Manufacturing Systems, Ann Arbor, MI, K.Stecke and R.Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 145–156 (August 1986).

    Google Scholar 

  • Hildebrant, R., “Scheduling Flexible Machining Systems Using Mean Value Analysis,” Proceedings of the IEEE Conference on Decision and Control, IEEE, New York, pp. 701–706 (December 1981).

  • HitzK., “Flexible Integrated Computer-aided Manufacturing Systems Increase Productivity,” Robotics and Computer-Intergrated Manufacturing, Vol. 3, No. 1, pp. 123–128 (1987).

    Google Scholar 

  • HoY., SuriR., CaoX., DiehlG., DilleJ., and ZazanisM., “Optimization of Large Multiclass (Non-product-form) Queueing Networks Using Perturbation Analysis,” Large Scale Systems, Vol. 7, pp. 1–16 (1984).

    Google Scholar 

  • JohnsonR.V., “Optimally Balancing Large Assembly Lines with ‘FABLE’,” Management Science, Vol. 34, No. 2, pp. 240–253 (February 1988).

    Google Scholar 

  • KamathM., SuriR., and SandersJ., “Analytical Performance Models for Closed-Loop Flexible Assembly Systems,” International Journal of Flexible Manufacturing Systems, Vol. 1, No. 1, pp. 51–84 (September 1988).

    Google Scholar 

  • KilbridgeM. and WesterL.,” A Heuristic Method of Assembly Line Balancing,” Journal of-Industrial Engineering, Vol. 12, pp. 292–298 (1961).

    Google Scholar 

  • KleinrockL., Queueing Systems II, John Wiley and Sons, New York, New York (1976).

    Google Scholar 

  • LeeH.F., SrinivasanM.M., and YanoC.A., “Algorithms for the Minimun Cost Configuration Problem in Flexible Manufacturing Systems,” Proceedings of the 3rd ORSA/TIMS Conference on Flexible Manufacturing Systems, M.I.T., Cambridge, MA, K.Stecke and R.Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 85–90 (August 1989).

    Google Scholar 

  • LiuC. and SandersJ., “Stochastic Design Optimization of Asynchronous Flexible Assembly Systems,” Proceedings of the 2nd ORSA/TIMS Conference on Flexible Manufacturing Systems, Ann Arbor, MI, K.Stecke and R.Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 191–202 (August 1986).

    Google Scholar 

  • LiuC. and SandersJ., “Stochastic Design Optimization of Asynchronous Flexible Assembly Systems,” Annals of Operations Research, Vol. 15, pp. 131–154 (1988).

    Google Scholar 

  • Muntz, R.R. and Wong, J.W., “Asymptotic Properties of Closed Queueing Network Models,” Proceedings of the 8th Annual Princeton Conference on Information Sciences and Systems, Princeton University, Princeton, New Jersey (1974).

  • OwenT., Flexible Assembly Systems, Plenum Press, New York (1984).

    Google Scholar 

  • OwenT., Assembly with Robots, Prentice Hall, Englewood Cliffs, New Jersey (1985).

    Google Scholar 

  • PosnerM. and BernholtzB., “Closed Finite Queueing Networks with Time Lags,” Operations Research, Vol. 16, No. 5, pp. 962–976 (September–October 1968).

    Google Scholar 

  • Pourbabai, B., “Optimal Control of a Flexible Assembly System,” Proceedings of the 1987 ASME Design Technology Conference on Advances in Design Automation, Boston, MA, Vol. 1, pp. 335–337 (1987).

  • RankyP.G., “The Design of an End of Arm Tool Management System for Flexible Assembly Systems Utilizing Industrial Robots,” Report No. RSD-TR-21–86, Center for Research on Integrated Manufacturing, College of Engineering, The University of Michigan, Ann Arbor, Michigan (1986).

    Google Scholar 

  • ReiserM. and LavenbergS., “Mean-Value Analysis of Closed Multichain Queueing Networks,” Journal of the Association for Computing Machinery, Vol. 27, No. 2, pp. 313–322 (1980).

    Google Scholar 

  • Riley, F. and Yarrow, E., “A New Approach to Assembly Machine Justification,” Proceedings of the 2nd European Conference on Automated Manufacturing, Birmingham, U.K. (1983).

  • SawyerJ.F., Line Balancing, Machinery and Allied Products Institute, Washington, D.C. (1970).

    Google Scholar 

  • SchrageL. and BakerK., “Dynamic Programming Solution of Sequencing Problems with Precedence Constraints,” Operations Research, Vol. 26, No. 3, pp. 444–459, (May–June 1978).

    Google Scholar 

  • SeligerG. and WienekeB., “Analytical Approach for Function Oriented Production System Design,” Robotics and Computer-Integrated Manufacturing, Vol. 1, No. 3, pp. 307–313 (1984).

    Google Scholar 

  • SeligerG., WiehwegerB., and WienekeB., “Descriptive Methods for Computer-Integrated Manufacturing and Assembly,” Robotics and Computer-Integrated Manufacturing, Vol. 3, No. 1, pp. 15–21 (1987a).

    Google Scholar 

  • SeligerG., WiehwegerB., and WienekeB., “Decision Support in Design and Optimization of Flexible Automated Manufacturing and Assembly,” Robotics and Computer-Integrated Manufacturing, Vol. 3, No. 2, pp. 221–227 (1987b).

    Google Scholar 

  • ShanthikumarJ.G. and SteckeK.E., “Reducing Work-in-Process Inventory in Certain Classes of Flexible Manufacturing Systems,” European Journal of Operational Research, Vol. 26, pp. 266–271 (1986).

    Google Scholar 

  • ShanthikumarJ.G. and YaoD.D., “Optimal Server Allocation in a System of Multi-Server Stations,” Management Science, Vol. 33, No. 9, pp. 1173–1180 (September 1987).

    Google Scholar 

  • ShanthikumarJ.G. and YaoD.D., “On Server Allocation in Multiple Center Manufacturing Systems,” Operations Research, Vol. 36, No. 2, pp. 333–342 (March–April 1988).

    Google Scholar 

  • ShanthikumarJ.G. and YaoD.D., “Second-order Properties of the Throughput of a Closed Queueing Network,” Mathematics of Operations Research, Vol. 13, No. 3, pp. 524–534 (August 1988).

    Google Scholar 

  • ShanthikumarJ.G. and YaoD.D., “Optimal Buffer Allocation in a Multicell System,” International Journal of Flexible Manufacturing Systems, Vol. 1, No. 4, pp. 347–356 (September 1989).

    Google Scholar 

  • Solberg, J., “A Mathematical Model of Computerized Manufacturing Systems,” Proceedings of the 4th International Conference of Production Research, Tokyo, Japan (August 1977).

  • SpraginsJ., “Analytical Queueing Models: Guest Editor's Introduction,” IEEE Computer, Vol. 13, No. 4, pp. 9–11 (1980).

    Google Scholar 

  • SpurG., FurgaeI., DeutschlanderA., BrowneJ., and O'GormanP., “Robot Planning System,” Robotics and Computer-Integrated Manufacturing, Vol. 2, No. 2, pp. 115–123 (1985).

    Google Scholar 

  • SpurG., FurgacI., and KirchhoffU., “Robot System Integration into Computer-Integrated Manufacturing,” Robotics and Computer-Integrated Manufacturing, Vol. 3, No. 1, pp. 1–10 (1987).

    Google Scholar 

  • SteckeK.E., “Formulation and Solution of Nonlinear Integer Production Problems for Flexible Manufacturing Systems,” Management Science, Vol. 29, No. 3, pp. 273–288 (March 1983).

    Google Scholar 

  • SteckeK.E. and SolbergJ.J., “The Optimality of Unbalancing Both Workloads and Machine Group Sizes in Closed Queueing Networks of Multi-Server Queues,” Operations Research, Vol. 33, No. 4, pp. 882–910 (July–August 1985).

    Google Scholar 

  • SuriR., “Robustness of Queueing Netwok Formulae,” Journal of the Association of Computing Machinery, Vol. 30, No. 3, pp. 564–594 (1983).

    Google Scholar 

  • Suri, R. and Diehl, G., “MANUPLAN—a Precursor to Simulation for Complex Manufacturing Systems,” Proceedings of the Winter Simulation Conference (1985).

  • SuriR. and DiehlG., “Rough-Cut Modeling: An Alternative to Simulation,” CIM Review, Vol. 3, pp. 25–32 (1987).

    Google Scholar 

  • TalbotF.B. and PattersonJ.H., “An Integer Programming Algorithm with Network Cuts Solving the Assembly Line Balancing Problem,” Management Science, Vol. 30, No. 1, pp. 85–99 (January 1984).

    Google Scholar 

  • TalbotF.B., PattersonJ.H., and GehrleinW.V., “A Comparative Evaluation of Heuristic Line Balancing Techniques.” Management Science, Vol. 32, No. 4, pp. 430–454 (April 1986).

    Google Scholar 

  • ThomopolousN.T., “Mixed-Model Line Balancing with Smoothed Station Assignments,” Management Science, Vol. 16, No. 9, pp. 593–603 (May 1970).

    Google Scholar 

  • VinodB. and SabbaghM., “Optimal Performance Analysis of Manufacturing Systems Subject to Tool Availability,” European Journal of Operational Research, Vol. 24, pp. 398–409(1986).

    Google Scholar 

  • VinodB. and SolbergJ., “The Optimal Design of Flexible Manufacturing Systems,” International Journal of Production Research, Vol. 23, No. 6, pp. 1141–1151 (1985).

    Google Scholar 

  • WhitneyC.K. and SuriR., “Algorithms for Part and Machine Selection in Flexible Manufacturing Systems,” Annals of Operations Research, Vol. 3, pp. 239–261 (1985).

    Google Scholar 

  • WhittW., “Open and Closed Models for Networks of Queues,” AT&T Bell Laboratories Technical Journal, Vol. 63, pp. 1911–1979 (1984).

    Google Scholar 

  • WhittW., “The Best Order of Queues in Series,” Management Science, Vol. 31, No. 4, pp. 475–487 (April 1985).

    Google Scholar 

  • YanoC.A., LeeH.F., and SrinivasanM.M., “Issues in the Design and Operation of Flexible Assembly Systems for Large Products: a Simulation Study,” Technical Report 88–10, Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, Michigan, to appear in Journal of Manufacturing Systems (1988).

    Google Scholar 

  • YaoD.D. and BuzacottJ.A., “Queueing Models for a Flexible Machining Station, Part I: the Diffusion Approximation,” European Journal of Operational Research, Vol. 19, pp. 233–240 (1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, H.F., Johnson, R.V. A line-balancing strategy for designing flexible assembly systems. Int J Flex Manuf Syst 3, 91–120 (1991). https://doi.org/10.1007/BF00167513

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00167513

Key Words

Navigation