Comparisons of two-machine line models in throughput analysis

International Journal of Production Research

Volumn 44, Issue 7, 2006, Pages 1375-1398

  Li, Jingshan ^a   Blumenfeld, Dennis E ^a   Alden, Jeffrey M ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

Throughput analysis; Two machine line models

Indexed keywords

LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; THROUGHPUT;

THROUGHPUT ANALYSIS; TWO-MACHINE LINE MODELS; TWO-MACHINE SERIAL LINES;

PRODUCTION ENGINEERING;

EID: 32644458004     PISSN: 00207543     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207540500371980     Document Type: Article

References (27)

1. Alden, J.M., Estimating performance of two workstations in series with downtime and unequal speeds. General Motors Research & Development Center, Report R&D-9434, Warren, MI, 2002.
2. Altiok, T., Production lines with phase-type operation and repair times and finite buffers. Int. J. Prod. Res., 1985, 23, 489-498.
3. Altiok, T., Performance Analysis of Manufacturing Systems, 1997 (Springer: New York).
4. Blumenfeld, D.E. and Li, J., An analytical formula for throughput of a production line with identical stations and random failures. Math. Prob. Eng., 2005, 293-308.
5. Buzacott, J.A., Automatic transfer lines with buffer stocks. Int. J. Prod. Res., 1967, 5, 183-200.
6. Buzacott, J.A., Methods of reliability analysis of production systems subject to breakdowns. In Operations Research and Reliability, edited by F. Grouchko, pp. 211-232, 1971 (Gordon and Breach: New York).
7. Buzacott, J.A. and Hanifin, L.E., Models of automatic transfer lines with inventory banks: a review and comparison. IIE Trans., 1978, 10, 197-207.
8. Buzacott, J.A. and Shanthikumar, J.G., Stochastic Models of Manufacturing Systems, 1993 (Prentice Hall: Englewood Cliffs, NJ).
9. Chiang, S.-Y., Kuo, C.-T. and Meerkov, S.M., DT-bottleneck in serial production lines: theory and application. IEEE T. Robotic. Autom., 2000, 16, 567-580.
10. Chiang, S.-Y., Kuo, C.-T. and Meerkov, S.M., c-Bottleneck in serial production lines: identification and application. Math. Prob. Eng., 2001, 7, 543-578.
11. Dallery, Y., David, R. and Xie, X.-L., An efficient algorithm for analysis of transfer lines with unreliable machines and finite buffers. IIE Trans., 1988, 20, 280-283.
12. Dallery, Y. and Gershwin, S.B., Manufacturing flow line systems: a review of models and analytical results. Queuing Syst., 1992, 12, 3-94.
13. De Koster, M.B.M., Estimation of the line efficiency by aggregation. Int. J. Prod. Res., 1987, 25, 615-626.
14. Enginarlar, E., Li, J., Meerkov, S.M. and Zhang, R.Q., Buffer capacity for accommodating machine downtime in serial production lines. Int. J. Prod. Res., 2002, 40, 601-624.
15. Gershwin, S.B., An efficient decomposition method for the approximate evaluation of tandem queues with finite storage space and blocking. Oper. Res., 1987, 35, 291-305.
16. Gershwin, S.B., Manufacturing Systems Engineering, 1994 (Prentice Hall: Englewood Cliffs, NJ).
17. Inman, R.R., Empirical evaluation of exponential and independence assumptions in queueing models of manufacturing systems. Prod. Oper. Manage., 1999, 8, 409-432.
18. Jacobs, D.A., Improvability in production systems: theory and case studies. PhD thesis, Department of EECS, University of Michigan, Ann Arbor, MI, 1993.
19. Jacobs, D.A. and Meerkov, S.M., A system-theoretic property of serial production lines: improvability. Int. J. Sys. Sci., 1995, 26, 95-137.
20. Kuo, C.-T., Bottlenecks in production systems: a systems approach. PhD thesis. Department of EECS, University of Michigan, Ann Arbor, MI, 1996.
21. Le Bihan, H. and Dallery, Y., A robust decomposition method for the analysis of production lines with unreliable machines and finite buffers. Ann. Oper. Res., 2000, 93, 265-297.
22. Li, J., Production variability in manufacturing systems: a systems approach. PhD thesis, Department of EECS, Univsity of Michigan, Ann Arbor, MI, 2000.
23. Li, J. and Meerkov, S.M., Due-time performance in production systems with Markovian machines. In Analysis of Manufacturing Systems, edited by S.B. Gershwin et al., pp. 221-253, 2003 (Kluwer Academic: Boston, MA).
24. Li, J., Blumenfeld, D.E. and Alden, J.M., Throughput analysis of serial production line with two machines: summary and comparisons. General Motors Research & Development Center, Report R&D-9532, Warren, MI, 2003.
25. Li, J. and Meerkov, S.M., Evaluation of throughput in serial production lines with non-exponential machines. In Analysis, Control and Optimization of Complex Dynamic Systems, edited by E.K. Boukas and R. Malhame, pp. 55-82, 2005 (Springer: New York).
26. Lim, J.T., Meerkov, S.M. and Top, F., Homogeneous, asymtotically reliable serial production lines: theory and a case study. IEEE T. Automat. Contr., 1990, 35, 524-534.
27. Papadopoulos, H.T. and Heavey, C., Queueing theory in manufacturing systems analysis and design: a classification of models for production and transfer lines. Eur. J. Oper. Res., 1996, 92, 1-27.