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Journal of the Operations Research Society of Japan
Article . 2012 . Peer-reviewed
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CONSTANT FACTOR APPROXIMATION ALGORITHMS FOR REPETITIVE ROUTING PROBLEMS OF GRASP-AND-DELIVERY ROBOTS IN PRODUCTION OF PRINTED CIRCUIT BOARDS

Authors: Yoshiyuki Karuno; Hiroshi Nagamochi; Aleksandar Shurbevski;

CONSTANT FACTOR APPROXIMATION ALGORITHMS FOR REPETITIVE ROUTING PROBLEMS OF GRASP-AND-DELIVERY ROBOTS IN PRODUCTION OF PRINTED CIRCUIT BOARDS

Abstract

In this paper, we consider a repetitive routing problem which we find on a printed circuit board assembly line. There are m different printed circuit boards to be processed. As an automated manipulator embeds electronic parts in a printed circuit board from above, n identical pins from underneath protect it against overbending. A dedicated pin configuration is designed for each printed circuit board so that pins do not obstruct its own circuit. A single grasp-and-delivery robot transfers the pins one by one to arrange them from a configuration to another one. Given an initial configuration of pins and a permutable set of m required configurations, our repetitive routing problem asks to find a configuration sequence, i.e., a processing order of m printed circuit boards, and a transfer route of the grasp-and-delivery robot so that the route length over all m transitions is minimized. We first design a polynomial time approximation algorithm with factor four to a restricted version of the repetitive routing problem with a non-permutable set of configurations, i.e., with a fixed processing order of m printed circuit boards. Applying the procedure, we then show that the repetitive routing problem with a permutable set of configurations admits a polynomial time approximation algorithm with factor six.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold