Analysis of flow lines with Cox-2-distributed processing times and limited buffer capacity

OR Spectrum

Volumn 27, Issue 2-3, 2005, Pages 221-242

  Helber, Stefan ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Cox 2 distribution; Decomposition; Flow line; General processing times; Performance evaluation

Indexed keywords

EID: 17444379379     PISSN: 01716468     EISSN: 14366304     Source Type: Journal    
DOI: 10.1007/s00291-005-0198-6     Document Type: Article

References (35)

1. Altiok T (1996) Performance analysis of manufacturing systems. Springer, Berlin Heidelberg New York
2. Artamonov G (1977) Productivity of a two-instrument discrete processing line in the presence of failures. Cybernetics 12: 464-468
3. Bronstein IN, Semendjajew KA (1983) Taschenbuch der Mathematik, 21st edn. Teubner, Leipzig
4. Burman MH (1995) New results in flow line analysis. PhD thesis, Massachusetts Institute of Technology. Also available as Report LMP-95-007, MIT Laboratory for Manufacturing and Productivity
5. Buzacott JA (1967) Automatic transfer lines with buffer stocks. International Journal of Production Research 5(3): 183-200
6. Buzacott J (1972) The effect of station breakdowns and random processing times on the capacity of flow lines. AIIE Transactions 4: 308-312
7. Buzacott JA, Hanifin LE (1978) Models of automatic transfer lines with inventory banks - a review and comparison. AIIE Transactions 10(2): 197-207
8. Buzacott JA, Kostelski D (1987) Matrix-geometric and recursive algorithm solution of a two-stage unreliable flow line. IIE Transactions 19(4): 429-438
9. Buzacott JA, Liu XG, Shanthikumar JG (1995) Multistage flow line analysis with the stopped arrival queue model. IIE Transactions 27(4): 444-455
10. Buzacott JA, Shanthikumar JG (1993) Stochastic models of manufacturing systems. Prentice Hall, Englewood Cliffs, NJ
11. Buxey G, Slack N, Wild R (1973) Production flow line system design - a review. AIIE Transactions 5: 37-48
12. Choong Y, Gershwin SB (1987) A decomposition method for the approximate evaluation of capacitated transfer lines with unreliable machines and random processing times. IIE Transactions 19: 150-159
13. Dallery Y, David R, Xie XL (1988) An efficient algorithm for analysis of transfer lines with unreliable machines and finite buffers. IIE Transactions 20(3): 280-283
14. Dallery Y, David R, Xie XL (1989) Approximate analysis of transfer lines with unreliable machines and finite buffers. IEEE Transactions on Automatic Control 34(9): 943-953
15. Dallery Y, Gershwin SB (1992) Manufacturing flow line systems: a review of models and analytical results. Queuing Systems Theory and Applications 12(1-2): 3-94
16. Di Mascolo M, David R, Dallery Y (1991) Modeling and analysis of assembly systems with unreliable machines and finite buffers. IIE Transactions 23(4): 315-330
17. Gaver DP (1962) A waiting line with interrupted service, including priorities. Journal of the Royal Statistical Society 24: 73-90
18. Gershwin SB (1987) An efficient decomposition algorithm for the approximate evaluation of tandem queues with finite storage space and blocking. Operations Research 35: 291-305
19. Gershwin SB (1989) An efficient decomposition algorithm for unreliable tandem queueing systems with finite buffers. In: Perros G, Altiok T (eds) Queueing networks with blocking, pp 127-146. North Holland, Amsterdam
20. Gershwin SB (1991) Assembly/disassembly systems: An efficient decomposition algorithm for tree-structured networks. IIE Transactions 23(4): 302-314
21. Gershwin SB (1994) Manufacturing systems engineering. Prentice Hall, Englewood Cliffs, NJ
22. Gershwin SB, Herman O (1981) Analysis of transfer lines consisting of two unreliable machines with random processing times and finite storage buffers. AIIE Transactions 13(1): 2-11
23. Gershwin SB, Schick I (1980) Continuous model of an unreliable two-stage material flow system with a finite interstage buffer. Technical Report LIDS-R-1039, Massachusetts Institute of Technology, Cambridge, MA
24. Gershwin SB, Schick I (1983) Modeling and analysis of three-stage transfer lines with unreliable machines and finite buffers. Operations Research 31(2): 354-380
25. Helber S (1998) Decomposition of unreliable assembly/dissassembly networks with limited buffer capacity and random processing times. European Journal of Operational Research 109(1): 24-42
26. Helber S (1999) Performance analysis of flow lines with non-linear flow of material. Springer, Berlin Heidelberg New York
27. Hillier F, Boling RW (1967) Finite queues in series with exponential or Erlang service times - a numerical approach. Operations Research 16: 286-303
28. Koenigsberg E (1959) Production lines and internal storage - a review. Management Science 5: 410-433
29. Okamura K, Yamashina H (1977) Analysis of the effect of buffer storage capacity in transfer line systems. AIEE Transactions 9: 127-135
30. Papadopoulus HT, Heavey C, Browne J (1993) Queueing theory in manufacturing systems analysis and design. Chapman & Hall, London
31. Sastry BLN, Awate PG (1988) Analysis of a two-station flow line with machine processing subject to inspection and rework. Opsearch 25: 89-97
32. Sevast'yanov BA (1962) Influence of storage bin capacity on the average standstill time of a production line. Theory of Probability and Its Applications 7: 429-438
33. Wijngaard J (1979) The effect of interstage buffer storage on the output of two unreliable production units in series, with different production rates. AIIE Transactions 11(1): 42-47
34. Yeralan S, Muth EJ (1987) A general model of a production line with intermediate buffer and station breakdown. IIE Transactions 19(2): 130-139
35. Zimmern B (1956) Etudes de la propagation des arrêts aleatoires dans les chaines de production. Review Statististical Applications 4: 85-104