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Optimizing robotic part feeder throughput with queueing theory
Dadi Gudmundsson, Ken Goldberg
2007
134 - 140
0144-5154
10.1108/01445150710733360
Emerald Group Publishing Limited
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
Originality/value – This paper advances the scientific understanding of automation and part feeding.
Parts, Queuing theory, Robotics, Throughput accounting
Technical paper