Performance Analysis of a Flexible Manufacturing Line Operated Under Surplus-based Production Control
In this paper we present our results on the performance analysis of a multi-product manufacturing line. We study the influence of external perturbations, intermediate buffer content and the number of manufacturing stages on the production tracking error of each machine in the multi-product line operated under a surplusbased production control policy. Starting by the analysis of a single machine with multiple production stages (one for each product type), we provide bounds on the production error of each stage. Then, we extend our analysis to a line of multi-stage machines, where similarly, bounds on each production tracking error for each product type, as well as buffer content are obtained. Details on performance of the closed-loop flow line model are illustrated in numerical simulations.
[1] J. R. Montoya-Torres, "A literature survey on the design approaches and
operational issues of automated wafer-transport systems for wafer fabs,"
Production Planning and Control, vol. 17, no. 7, pp. 648-663, 2006.
[2] J. Li, D. Blumenfeld, N. Huang, and J. Alden, "Throughput analysis
of production systems: recent advances and future topics," International
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[3] S. Gershwin, "Design and operation of manufacturing systems: the
control-point policy," IIE Transactions, vol. 32, pp. 891-906, 2000.
[4] M. Ortega and L. Lin, "Control theory applications to the productioninventory
problem:a review," International Journal of Production
Research, vol. 42, no. 11, pp. 2303-2322, 2004.
[5] H. Sarimveis, P. Patrinos, C. Tarantilis, and C. Kiranoudis, "Dynamic
modeling and control of supply chain systems: A review," Computers
and Operations Research, vol. 35, pp. 3530-3561, 2008.
[6] A. Bonvik, C. Couch, and S. Gershwin, "A comparison of productionline
control mechanisms," International Journal of Production Research,
vol. 35, no. 3, pp. 789-804, 1997.
[7] H. K. Khalil, Nonlinear Systems, 3rd ed. Prentice-Hall, 2002.
[8] S. Dashkovskiy, M. G¨orges, M. Kosmykov, A. Mironchenko, and
L. Naujok, "Modeling and stability analysis of autonomously controlled
production networks," Logistic Research, vol. 3, pp. 145-157, 2011.
[9] J. Perkins, C. Humes, and P. Kumar, "Distributed scheduling of flexible
manufacturing systems: Stability and performance," IEEE Transactions
on Robotics and Automation, vol. 10, pp. 133-141, 1994.
[10] J. Somlo, "Suitable switching policies for fms scheduing," Mechatronics,
vol. 14, pp. 199-225, 2004.
[11] S. Lu and P. Kumar, "Distributed scheduling based on due dates and
buffer priorities," IEEE Transactions on Automatic Control, vol. 36, pp.
1406-1416, 1991.
[12] R. Quintana, "Recursive linear control of order release to manufacturing
cells with random yield," IIE Transactions, vol. 34, pp. 489-500, 2002.
[13] V. Subramaniam, Y. Rongling, C. Ruifeng, and S. Singh, "A wip control
policy for tandem lines," International Journal of Production Research,
vol. 47, no. 4, pp. 1127-1149, 2009.
[14] A. Savkin and J. Somlo, "Optimal distributed real-time scheduling of
flexible manufacturing networks modeled as hybrid dynamical systems,"
Robotics and Computer-Integrated Manufacturing, vol. 25, pp. 597 -
609, 2009.
[1] J. R. Montoya-Torres, "A literature survey on the design approaches and
operational issues of automated wafer-transport systems for wafer fabs,"
Production Planning and Control, vol. 17, no. 7, pp. 648-663, 2006.
[2] J. Li, D. Blumenfeld, N. Huang, and J. Alden, "Throughput analysis
of production systems: recent advances and future topics," International
Journal of Production Research, vol. 47, pp. 3823-3851, 2009, 4.
[3] S. Gershwin, "Design and operation of manufacturing systems: the
control-point policy," IIE Transactions, vol. 32, pp. 891-906, 2000.
[4] M. Ortega and L. Lin, "Control theory applications to the productioninventory
problem:a review," International Journal of Production
Research, vol. 42, no. 11, pp. 2303-2322, 2004.
[5] H. Sarimveis, P. Patrinos, C. Tarantilis, and C. Kiranoudis, "Dynamic
modeling and control of supply chain systems: A review," Computers
and Operations Research, vol. 35, pp. 3530-3561, 2008.
[6] A. Bonvik, C. Couch, and S. Gershwin, "A comparison of productionline
control mechanisms," International Journal of Production Research,
vol. 35, no. 3, pp. 789-804, 1997.
[7] H. K. Khalil, Nonlinear Systems, 3rd ed. Prentice-Hall, 2002.
[8] S. Dashkovskiy, M. G¨orges, M. Kosmykov, A. Mironchenko, and
L. Naujok, "Modeling and stability analysis of autonomously controlled
production networks," Logistic Research, vol. 3, pp. 145-157, 2011.
[9] J. Perkins, C. Humes, and P. Kumar, "Distributed scheduling of flexible
manufacturing systems: Stability and performance," IEEE Transactions
on Robotics and Automation, vol. 10, pp. 133-141, 1994.
[10] J. Somlo, "Suitable switching policies for fms scheduing," Mechatronics,
vol. 14, pp. 199-225, 2004.
[11] S. Lu and P. Kumar, "Distributed scheduling based on due dates and
buffer priorities," IEEE Transactions on Automatic Control, vol. 36, pp.
1406-1416, 1991.
[12] R. Quintana, "Recursive linear control of order release to manufacturing
cells with random yield," IIE Transactions, vol. 34, pp. 489-500, 2002.
[13] V. Subramaniam, Y. Rongling, C. Ruifeng, and S. Singh, "A wip control
policy for tandem lines," International Journal of Production Research,
vol. 47, no. 4, pp. 1127-1149, 2009.
[14] A. Savkin and J. Somlo, "Optimal distributed real-time scheduling of
flexible manufacturing networks modeled as hybrid dynamical systems,"
Robotics and Computer-Integrated Manufacturing, vol. 25, pp. 597 -
609, 2009.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62099", author = "K. K. Starkov and A. Y. Pogromsky and I. J. B. F. Adan and J. E. Rooda", title = "Performance Analysis of a Flexible Manufacturing Line Operated Under Surplus-based Production Control", abstract = "In this paper we present our results on the performance analysis of a multi-product manufacturing line. We study the influence of external perturbations, intermediate buffer content and the number of manufacturing stages on the production tracking error of each machine in the multi-product line operated under a surplusbased production control policy. Starting by the analysis of a single machine with multiple production stages (one for each product type), we provide bounds on the production error of each stage. Then, we extend our analysis to a line of multi-stage machines, where similarly, bounds on each production tracking error for each product type, as well as buffer content are obtained. Details on performance of the closed-loop flow line model are illustrated in numerical simulations.
", keywords = "Flexible manufacturing systems, tracking systems, discrete time systems, production control, boundary conditions.", volume = "5", number = "11", pages = "2464-7", }
