An analytical formula for throughput of a production line withidentical stations and random failures

Mathematical Problems in Engineering - Tập 2005 Số 3 - Trang 293-308 - 2005
Dennis E. Blumenfeld1, Jingshan Li1
1General Motors

Tóm tắt

We derive a simple formula for the throughput (jobs produced per unit time) of a serial production line with workstations that are subject to random failures. The derivation is based on equations developed for a line flow model that takes into account the impact of finite buffers between workstations. The formula applies in the special case of a line with identical workstations and buffers of equal size. It is a closed‐form expression that shows the mathematical relationships between the system parameters, and that can be used to gain basic insight into system behavior at the initial design stage.

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