Welcome!
To use the personalized features of this site, please log in or register.
If you have forgotten your username or password, we can help.
My Menu
Saved Items

Multi-objective Rectangular Packing Problem and Its Applications

Shinya WatanabeContact Information, Tomoyuki HiroyasuContact Information and Mitsunori MikiContact Information

(8)  Department of Knowledge Engineering and Computer Sciences, Doshisha University, 1-3 Tatara Miyakodani, Kyo-tanabe, Kyoto, 610-0321, JAPAN
Abstract
In this paper, Neighborhood Cultivation GA (NCGA) is applied to the rectangular packing problem. NCGA is one of the multi-objective Genetic Algorithms that includes not only the mechanisms of effective algorithms such as NSGA-II and SPEA2, but also the mechanism of the neighborhood crossover. This model can derive good nondominated solutions in typical multi-objective optimization test problems. The rectangular packing problem (RP) is a well-known discrete combinatorial optimization problem in many applications such as LSI layout problems, setting of plant facility problems, and so on. The RP is a difficult and time-consuming problem since the number of possible placements of rectangles increase exponentially as the number of rectangles increases. In this paper, the sequent-pair is used for representing the solution of the rectangular packing and PPEX is used as the crossover. The results were compared to the other methods: SPEA2, NSGA-II and non-NCGA (NCGA without neighborhood crossover). Through numerical examples, the effectiveness of NCGA for the RP is demonstrated and it is found that the neighborhood crossover is very effective both when the number of modules is small and large.

Contact Information Shinya Watanabe (Graduate Student)
Email: sin@mikilab.doshisha.ac.jp
URL: http://mikilab.doshisha.ac.jp/~sin/

Contact Information Tomoyuki Hiroyasu
Email: tomo@is.doshisha.ac.jp

Contact Information Mitsunori Miki
Email: mmiki@mail.doshisha.ac.jp
Fulltext Preview (Small, Large)
Image of the first page of the fulltext

References secured to subscribers.



Export this chapter
Export this chapter as RIS | Text
 
Remote Address: 38.107.191.105 • Server: mpweb04
HTTP User Agent: CCBot/1.0 (+http://www.commoncrawl.org/bot.html)