An Extended System Aggregation Method for Hybrid Production Lines with Multiple Failure Rate and Unreliable Limited Buffers

Abstract:

In this study, a new system performance evaluation method is introduced to the two-machine line. After that, the extended system aggregation model is developed and corresponding aggregation formulations are deduced.Different from traditional production models, the production line features unreliable buffers and multiple stochastic failure modes of the machines. The method is applicable to analyzing the cases arising from two or more stochastic events or more complex production lines

• Periodical: Advanced Materials Research (Volume 459)
• Pages: 432-436
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.459.432
• Online since: January 2012
• Authors: Jun Liu, Ye Nan Wang, Jian Hua Li, Rui Shen Chen
• Keywords: Aggregation Method, Hybrid System, Multiple Stochastical Failure Modes, Unreliable Limited Buffer

References

[1] Dallery Y, Gershwin S.B.: Manufacturing flow line systems: a review of models and analytical results. Queueing System, 12, 3-94 (1992).

DOI: 10.1007/bf01158636

[2] Sethi Suresh P, Zhang Hanqin, Zhang Qing: Hierarchical production control in a stochastic N-machine flowshop with limited buffers. Journal of Mathematical Analysis and Applications, 246, 28-57 (2000).

DOI: 10.1006/jmaa.2000.6740

[3] Walid Abdul-Kader: Capacity improvement of an unreliable production line – an analytical approach, Computer & Operations Research, 33(6), 1695-1712 (2006).

DOI: 10.1016/j.cor.2004.11.015

[4] Gershwin S B.: An efficient decomposition method for the approximate evaluation of tandem queues with finite storage space and blocking. Operations Research, 35(2), 291-305 (1987).

DOI: 10.1287/opre.35.2.291

[5] Ancelin B, Semery A.: Calcul de la productivite d'une ligne integree de fabrication: CALIF, une methode analytique industrielle. RAIRO APPII, 21(3), 209-238 (1987).

[6] Dimitri P. Bertsekas.: Separable dynamic programming and approximate decomposition method. IEEE Transactions on automatic control, 52(5), 911-916 (2007).

DOI: 10.1109/tac.2007.895901

[7] Kock AAA.: Effective process times for aggregate modeling of manufacturing systems. Ph. D thesis, Eindhoven University of Technology (2008).

[8] Liu J, Rui Z.Y., Feng R.C. and Lei C.L.: Performance Evaluation of Hybrid Production Lines with Multiple Failure Modes and unreliabe limited buffers. Applied Mechanics and Materials, 58-60, 410-416.

DOI: 10.4028/www.scientific.net/amm.58-60.410

[9] Terracol C, Davie R.: An Aggregation Technique for Performance Evaluation of Transfer Lines with Unreliable Machines and Finite Buffers, In: IEEE Conf. Robotics Automatic, Raleigh, NC, 1333-1338 (1987).

DOI: 10.1109/robot.1987.1087826