Performance analysis and optimization of cyclic production lines

In this paper, a model of a cyclic production line is introduced and analyzed. Using Taylor series expansion, we present an approximation method for the analysis of the average steady-state throughput of cyclic production lines with unreliable machines, finite buffers and a fixed number of pallets circulating in the line. Using the approximation method, we suggest an analytic method to calculate the optimal number of pallets that maximizes the line throughput. Also, we show an absolute optimal number of pallets exists which is independent of the machine parameters.

[1]  J. Wijngaard.  The Effect of Interstage Buffer Storage on the Output of Two Unreliable Production Units in Series, with Different Production Rates , 1979 .

[2]  Stanley B. Gershwin,et al.  Representation and analysis of transfer lines with machines that have different processing rates , 1987 .

[3]  Stanley B. Gershwin,et al.  An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking , 1987, Oper. Res..

[4]  Yves Dallery,et al.  An efficient algorithm for analysis of transfer lines with unreliable machines and finite buffers , 1988 .

[5]  Xiaolan Xie,et al.  Approximate analysis of transfer lines with unreliable machines and finite buffers , 1989 .

[6]  Harry G. Perros,et al.  Approximate Throughput Analysis of Cyclic Queueing Networks with Finite Buffers , 1989, IEEE Trans. Software Eng..

[7]  Yves Dallery,et al.  Analysis of Cyclic Queueing Networks with Finite Buffers and Blocking Before Service , 1989, Perform. Evaluation.

[8]  John A. Buzacott,et al.  Approximate models of assembly systems with finite inventory banks , 1990 .

[9]  D Towsley,et al.  Symmetry property of the throughput in closed tandem queueing networks with finite buffers , 1991, Oper. Res. Lett..

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

[11]  C. R. Glassey,et al.  Analysis of behaviour of an unreliable n-stage transfer line with (n − 1) inter-stage storage buffers , 1993 .

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

[13]  Yves Dallery,et al.  Modeling and analysis of closed-loop production lines with unreliable machines and finite buffers , 1996 .

[14]  David S. Kim.  The equivalence of two-station closed and open serial production systems with finite buffers , 1998 .

[15]  J.-T. Lim,et al.  Performance analysis of serial production lines with quality inspection machines , 1998, Int. J. Syst. Sci..