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Optimizing robotic part feeder throughput with queueing theory


Article Information:

Title:

Optimizing robotic part feeder throughput with queueing theory

Author(s):

Dadi Gudmundsson, Ken Goldberg

Journal:

Assembly Automation

Year:

2007

Volume:

27

Issue:

2

Page:

134 - 140


ISSN:

0144-5154


DOI:

10.1108/01445150710733360

Publisher:

Emerald Group Publishing Limited

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Abstract:

Purpose – This paper aims to study a commercially available industrial part feeder that uses an industrial robot arm and computer vision system. Three conveyor belts are arranged to singulate and circulate parts, bringing them under a camera where their pose is recognized and subsequently manipulated by the robot arm. The problem is addressed of optimizing belt speeds and hence throughput of this feeder that avoid: starvation, where no parts are visible to the camera and saturation, where too many parts prevent part pose detection or grasping.

Design/methodology/approach – Models are developed for intermittent and continuous motion feeding based on a 2D Poisson process. Renewal theory is applied to model intermittent motion and an M/G/1 queue with customer impatience to model continuous motion feeding. These models are verified using discrete event simulation.

Findings – The models predict and optimize feeder behaviour very accurately and it is possible to compute optimal settings for different part sizes and throughput sensitivity.

Practical implications – Feeder belt velocities are currently estimated based on intuition and ad hoc trial and error. The results provide a scientific alternative. The models are straightforward to implement and can provide velocity settings for feeders in industrial use.

Originality/value – This paper advances the scientific understanding of automation and part feeding.

Keywords:

Parts, Queuing theory, Robotics, Throughput accounting


Article Type:

Technical paper


Article URL:

http://www.emeraldinsight.com/10.1108/01445150710733360

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