Abstract
The allocation of tools to machines determines potential part routes in flexible manufacturing systems. Given production requirements and a minimum feasible set of tools, the decision of how to fill vacant slots in tool magazines to maximize routing flexibility is shown to be a minimum cost network flow problem for the cases when routing flexibility is a function of the average workload per tool aggregated over tool types, or of the number of possible routes through the system. A linear programming model is then used to plan a set of routes for each part type so as to minimize either the material handling requirement or the maximum workload on any machine. The impact of these tool addition strategies on the material handling and workload equalization is investigated and computational results presented. The advantage of the overall approach is computational simplicity at each step and the ability to react to dynamic changes.
Similar content being viewed by others
References
Agnetis, A., Arbib, C., Lucertini, M., and Nicolo, F., “Part Routing in Flexible Assembly Systems,”IEEE Transactions on Robotics and Automation, Vol. 6, No. 6, pp. 697–705 (1990).
Ammons, L.C., Lofgren, C.B., and McGinnis, L.F., “A Large Scale Machine Loading Problem in Flexible Assembly,”Annals of Operations Research, Vol. 3, pp. 319–332 (1985).
Berr, A. and Falkenberg, D., “Tool Management for Flexible Manufacturing Systems,”Annals of the CIRP, Vol. 34, No. 1, pp. 387–390 (1985).
Berrada, M. and Stecke, K.E., “A Branch and Bound Approach for Machine Loading in Flexible Manufacturing Systems,”Management Science, Vol. 32, No. 10, pp. 1316–1335 (October 1986).
Chen, Y.G. and Askin, R.G., “A Multiobjective Evaluation of Flexible Manufacturing Loading Heuristics,”International Journal of Production Research, Vol. 28, No. 5, pp. 895–911 (1990).
Eversheim, W., Kals, H.J.J., Konig, W., van Luttervelt, C.A., Miberg, J., Storr, A., Tonshoff, H.K., Weck, M., Weule, H., and Zdeblick, W.J., “Tool Management: The Present and the Future,”Annals of CIRP, Vol. 40, No. 2, pp. 631–639 (1991).
Graver, T.W. and McGinnis, T.W., “A Tool Provisioning Problem in FMS,”International Journal of Flexible Manufacturing Systems, Vol. 1, No. 3, pp. 239–254 (1989).
Gray, A.E., Seidmann, A., and Stecke, K.E., “A Synthesis of Decision Models for Tool Management in Automated Manufacturing,”Management Science, Vol. 39, No. 5, pp. 549–567 (May 1993).
Hwang, S., “Part Selection Problems in Flexible Manufacturing Systems Planning Stage,” inProceedings of the Second ORSA/TIMS Conference on FMS: Operations Research Models and Applications, K.E. Stecke and R. Suri (Eds.), Elsevier Publishers B.V., Amsterdam, pp. 297–309 (August 1986).
Jaikumar, R. and VanWassenhove, L.N., “Production Planning in Flexible Manufacturing Systems,”Journal of Manufacturing and Operations Management, Vol. 2, pp. 52–78 (1989).
Karp, R.M., “Reducibility among Combinatorial Problems,” inComplexity of Computer Computations, R.E. Miller and J.W. Thatcher (Eds.), Plenum Press, New York, pp. 85–103, (1972).
Kusiak, A., “Flexible Manufacturing Systems: A Structural Approach,”International Journal of Production Research, Vol. 23, No. 6, pp. 1056–1074 (1985).
Leung, L.C., Maheshwari, S.K., and Miller, W.A., “Concurrent Part Assignment and Tool Allocation in FMS with Material Handling Considerations,” Working Paper, Department of Industrial and Management Systems, University of South Florida, Tampa, FL (1989).
Rajagopalan, S., “Formulations and Heuristic Solutions for Parts Grouping and Tool Loading in Flexible Manufacturing Systems,” inProceedings of the Second ORSA/TIMS Conference on FMS: Operations Research Models and Applications, K.E. Stecke and R. Suri (Eds.), Elsevier Publishers B.V., Amsterdam, pp. 311–320, (1986).
Sarin, S.C. and Chen, C.S., “The Machine Loading and Tool Allocation Problem in a Flexible Manufacturing System,”International Journal of Production Research, Vol. 25, pp. 1081–1094 (1987).
Schweitzer, P.J. and Seidmann, A., “Optimizing Processing Rates for Flexible Manufacturing Systems,”Management Science, Vol. 37, No. 4, pp. 454–466 (April 1991).
Shanthikumar, J.G. and Stecke, K.E., “Reducing Work-in-Process Inventory in Certain Classes of Flexible Manufacturing Systems,”European Journal of Operational Research, Vol. 26, No. 1, pp. 15–21 (1986).
Sodhi, M.S., “Hierarchical Models for FMS Control,” Unpublished Ph.D. Dissertation, Department of Systems and Industrial Engineering, University of Arizona, Tucson, AZ (1991).
Sodhi, M.S., Askin, R.G., and Sen, S., “A Hierarchical Model for Flexible Manufacturing System Control,” Working Paper 91-012, Department of Systems and Industrial Engineering, University of Arizona, Tucson, AZ (1991).
Stecke, K.E., “Formulation and Solution of Nonlinear Integer Production Planning Problems of Flexible Manufacturing Systems,”Management Science, Vol. 29, No. 3, pp. 273–288 (March 1983).
Stecke, K.E., “A Hierarchical Approach to Solving Machine Grouping and Loading Problems of Flexible Manufacturing Systems,”European Journal of Operational Research, Vol. 24, pp. 369–378 (1986).
Stecke, K.E., “Planning and Scheduling Approaches to Operate a Particular FMS,”European Journal of Operational Research, Vol. 61, No. 3, pp. 273–291 (September 1992).
Stecke, K.E. and Kim, I., “A Flexible Approach to Implementing the Short Term FMS Planning Function,”Proceedings of the Second ORSA/TIMS Conference on FMS: Operations Research Models and Applications, Ann Arbor, MI, K.E. Stecke and R. Suri (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 283–295 (August 1986).
Stecke, K.E., and Kim, I., “A Study of FMS Part Type Selection Approaches for Short-Term Production Planning,”International Journal of Flexible Manufacturing Systems, Vol. 1, No. 1, pp. 7–29 (April 1988).
Stecke, K.E. and Solberg, J.J., “Loading and Control Policies for a Flexible Manufacturing System,”International Journal of Production Research, Vol. 19, pp. 481–490 (1981).
Stecke, K.E. and Talbot, F.B., “Heuristics for Loading Flexible Manufacturing Systems,” inFlexible Manufacturing: Recent Developments in FMS, Robotics, CAD/CAM, CIM, A. Rouf and S.I. Ahmed (Eds.), Elsevier Science Publishers B.V., Amsterdam, pp. 73–84, (1985).
Suri, R. and Whitney, C.K., “Decision support requirements in flexible manfucturing,”Journal of Manufacturing Systems, Vol. 3, No. 1, pp. 61–69 (1984).
Whitney, C.K. and Gaul, T.S., “Sequential Decision Procedures for Batching and Balancing in FMSs,”Annals of Operations Research, Vol. 3, pp. 118–136 (1985).
Wilhelm, W.E. and Shin, H., “Effectiveness of Alternate Operations in a Flexible Manufacturing System,”International Journal of Production Research, Vol. 23, No. 1, pp. 65–79 (1985).
Author information
Authors and Affiliations
Additional information
This article is based upon work supported by the National Science Foundation under Grants No. DMC 85–44993 and DDM 92–15432.
This work was done by the author while visiting the SIE Department of the University of Arizona.
Rights and permissions
About this article
Cite this article
Sodhi, M.S., Agnetis, A. & Askin, R.G. Tool addition strategies for flexible manufacturing systems. Int J Flex Manuf Syst 6, 287–310 (1994). https://doi.org/10.1007/BF01324798
Issue Date:
DOI: https://doi.org/10.1007/BF01324798