A Sub-Optimal Control Policy in a Two-Product Door Manufacturing Line With Geometric Reliability Machines

Multiproduct systems are becoming more and more prevalent in modern manufacturing. In this paper, we introduce an application study of optimal control policy in a two-product door manufacturing line at an automotive assembly plant. In such a system, two types of doors for sedans and SUVs are produced and supplied to the sedan and SUV body shops, respectively. There is a nonnegligible setup time when the door type is changed. To study this system, a geometric machine reliability model is developed. Closed-form expressions of performance measures are derived and a sub-optimal control policy is presented to schedule product changeover so that maximal satisfaction to demands of both doors can be achieved. Finally, the results are validated in door production.

[1]  Cong Zhao,et al.  Efficient Algorithms for Analysis and Improvement of Flexible Manufacturing Systems , 2016, IEEE Transactions on Automation Science and Engineering.

[2]  Heinrich Kuhn,et al.  Flexible Manufacturing Systems: Decision Support for Design and Operation , 1993 .

[3]  MengChu Zhou,et al.  Modeling, Simulation, and Control of Flexible Manufacturing Systems - A Petri Net Approach , 1999, Series in Intelligent Control and Intelligent Automation.

[4]  Jumpol Vorasayan,et al.  Allocating work in process in a multiple-product CONWIP system with lost sales , 2005 .

[5]  Onno J. Boxma,et al.  Sojourn times in polling systems with various service disciplines , 2009, Perform. Evaluation.

[6]  P. R. Kumar,et al.  Distributed scheduling based on due dates and buffer priorities , 1991 .

[7]  Georg N. Krieg,et al.  A decomposition method for multi-product kanban systems with setup times and lost sales , 2002 .

[8]  L. Breuer.  Introduction to Stochastic Processes , 2022, Statistical Methods for Climate Scientists.

[9]  Jingshan Li,et al.  Throughput analysis of production systems: recent advances and future topics , 2009 .

[10]  John A. Buzacott,et al.  Stochastic models of manufacturing systems , 1993 .

[11]  Jianqiang Hu,et al.  Optimality of hedging point policies in the production control of failure prone manufacturing systems , 1994, IEEE Trans. Autom. Control..

[12]  Yves Dallery,et al.  Manufacturing flow line systems: a review of models and analytical results , 1992, Queueing Syst. Theory Appl..

[13]  Barış Tan,et al.  Mathematical programming representations of the dynamics of continuous-flow production systems , 2015 .

[14]  Ningjian Huang,et al.  Modeling and analysis of a multiple product manufacturing system with split and merge , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[15]  Georg N. Krieg,et al.  Analysis of Multi-Product Kanban Systems with State-Dependent Setups and Lost Sales , 2004, Ann. Oper. Res..

[16]  Jingshan Li,et al.  Scheduling policies in multi-product manufacturing systems with sequence-dependent setup times and finite buffers , 2012 .

[17]  Andrea Matta,et al.  Performance evaluation of linear and non-linear multi-product multi-stage lines with unreliable machines and finite homogeneous buffers , 2008 .

[18]  A. Dasci,et al.  Performance evaluation of a single-stage two-product manufacturing system operating under pull-type control , 2008, Comput. Oper. Res..

[19]  Yves Dallery,et al.  Extended kanban control system: combining kanban and base stock , 2000 .

[20]  Ningjian Huang,et al.  Modelling and analysis of a multiple product manufacturing system with split and merge , 2005 .

[21]  S.C.H. Lu,et al.  Efficient scheduling policies to reduce mean and variance of cycle-time in semiconductor manufacturing plants , 1994 .

[22]  Yadati Narahari,et al.  Performance modeling of automated manufacturing systems , 1992 .

[23]  E. P. Kao,et al.  An Introduction to Stochastic Processes , 1996 .

[24]  Li Zheng,et al.  The robustness of scheduling policies in multi-product manufacturing systems with sequence-dependent setup times and finite buffers , 2012, 2012 IEEE International Conference on Robotics and Automation.

[25]  V. M. Vishnevskii,et al.  Mathematical methods to study the polling systems , 2006 .

[26]  Andrea Matta,et al.  Performance evaluation of production lines with finite buffer capacity producing two different products , 2005, OR Spectr..

[27]  Cong Zhao,et al.  Analysis and Improvement of Multiproduct Bernoulli Serial Lines: Theory and Application , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Stanley B. Gershwin.  Design and operation of manufacturing systems: the control-point policy , 2000 .

[29]  Andrea Matta,et al.  Analysis of assembly systems controlled with kanbans , 2005, Eur. J. Oper. Res..

[30]  John A. Sharp,et al.  A review of manufacturing flexibility , 2000, Eur. J. Oper. Res..

[31]  Jingshan Li,et al.  Analysis of Multiproduct Manufacturing Systems With Homogeneous Exponential Machines , 2014, IEEE Trans Autom. Sci. Eng..