An integer programming approach for the three-Dimensional cutting planning problem of marble processing industry

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dc.contributor.authorOzfirat P.M.
dc.date.accessioned2024-07-22T08:19:29Z
dc.date.available2024-07-22T08:19:29Z
dc.date.issued2012
dc.description.abstractThe three-dimensional cutting problem is one of the major problems faced in the marble factories. Huge marble blocks coming from marble quarries are first cut into planes according to their depths. Then these planes are sized according to the length and width of the demanded products. In this study, the cutting problem of a marble processing factory is handled. Two different integer programming (IP) approaches are developed. In the first one, an IP model is built for each of the two cutting problems, which are cutting marble blocks into planes and sizing these planes. In the second approach, these two IP models are integrated together to handle the two different cutting operations together. The objective of both models is to minimize total spoilage of marble while finding the cutting designs of the marble blocks and marble planes. A number of real life problems are solved using both approaches. Computational results are compared statistically. Results showed that both approaches decrease the wasted amount of marble compared to the industry's average. © Springer-Verlag London Limited 2011.
dc.identifier.DOI-ID10.1007/s00170-011-3574-1
dc.identifier.issn14333015
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17693
dc.language.isoEnglish
dc.subjectCutting
dc.subjectIndustry
dc.subjectInteger programming
dc.subjectThree dimensional
dc.subjectComputational results
dc.subjectCutting operations
dc.subjectCutting planes
dc.subjectCutting problems
dc.subjectHypothesis testing
dc.subjectIP models
dc.subjectMarble blocks
dc.subjectMarble factory
dc.subjectMarble processing
dc.subjectMarble quarries
dc.subjectPlanning problem
dc.subjectReal-life problems
dc.subjectMarble
dc.titleAn integer programming approach for the three-Dimensional cutting planning problem of marble processing industry
dc.typeArticle

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