Complexity Results on a Paint Shop Problem

Epping, Thomas and Hochstättler, Winfried and Oertel, Peter (2004) Complexity Results on a Paint Shop Problem.
Published in: Discrete Applied Mathematics Vol. 136 (2-3). pp. 217-226.


Motivated by an application in the automobile industry, we present results and conjectures on a new combinatorial problem: Given a word w and restricted reservoirs of colored letters, synthesize w with a minimal number of color changes. We present a dynamic program that solves this problem and runs in polynomial time if we bound both, the number of different letters and colors. Otherwise, the problem is shown to be NP-complete. Additionally, we focus on upper bounds on the minimal number of color changes, simultaneously giving results for special instances, and posing open questions.

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ZAIK Number: zaik2002-434
Depositing User: Thomas Epping
Date Deposited: 06 Jun 2002 00:00
Last Modified: 12 Jan 2012 10:56