Assembly Line Balancing Applying the Inventory Theory : Comparison between continuous line and cellular manufacturing systems

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  • 在庫理論の応用展開による組立ラインバランシング : 連続ラインとセル生産システムの比較
  • ザイコ リロン ノ オウヨウ テンカイ ニ ヨル クミタテ ラインバランシング レンゾク ライン ト セル セイサン システム ノ ヒカク

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Abstract

Conveyer production systems aiming at mass production were widely used during the high-growth era. In recent years, as a next-generation production system, cellular manufacturing systems are anticipated and many case studies have been reported, but little attention has been paid to the mathematical model for cellular manufacturing systems. Basically, the cellular manufacturing system is a method that brings individuals into focus. Although operator skill is an important factor when two systems are compared, in the previous paper, the work element times were only applied as a random variable for stochastic assembly line balancing. Therefore, in this paper, the mechanism of the improvement in the productivity of the conveyer production system and the cellular manufacturing system are studied by a newly proposed mathematical model introduced from the inventory theory. The main features of the model are as follows. The Ordering Point model in the inventory theory is applied by replacing "Lead Time and Ordering Point" with "work period and required man-hours", respectively. Then, the work element times and operator skills can be dealt with as random variables by applying the "deviation of the sum of random variables" and "random sum". Moreover, since productivity is affected by the amount of work for the operator, we rectify the influence by deriving an operator service factor based on the theorem of the memorization of amount of information such as the Magical Number Seven and USAF examination. Furthermore, the validity of the proposed models are examined through numerical simulations compared with a case study.

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