Abstract

Production lines can be designed by an analytical, semi-analytical, or numerical approach. This paper gives a brief introduction to the analytical approach of a single buffer line, the aggregation method, and the analytical approach of a multi-buffer line. An automotive paint shop production system will be used as a figurative example to compare the aggregation method and the recently developed analytical approach for a multi-buffer line. A discussion at the end will show the advantages and disadvantages of the analytical approach.

Highlights

  • Production lines have a big influence on our lives nowadays

  • An analytical approach of a steady-state series Bernoulli production line with one buffer and two machines was published for the first time in 1962 [5]

  • The initial layout of the automotive paint shop is simplified to ensure the application of the aggregation method and the analytical approach, see Fig. 6

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Summary

INTRODUCTION

Production lines have a big influence on our lives nowadays. Since Henry Ford, they developed rapidly and helped shape the modern economy. In today’s industries, it is convenient to design manufacturing processes [1] Such an approach allows the operator to decide which machine he can turn off to save energy without losing the required performance [2]. An analytical approach of a steady-state series Bernoulli production line with one buffer and two machines was published for the first time in 1962 [5]. The aggregation method will be further described This method has a wide application; it can be used to simulate the setup time of a manufacturing line [8]. One of the main benefits of the aggregation method is the short processor time. This makes it a quick tool in the designing and optimization of a production system

THE ANALYTICAL APPROACH – A SINGLE BUFFER LINE
State Transition Diagram for a System with One Buffer
THE AGGREGATION METHOD
THE ANALYTICAL APPROACH – MULTI-BUFFER LINE
ILLUSTRATIVE EXAMPLE
CONCLUSION
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