Cutting and Packing Beyond and Within Mathematical Programming
International Series in Operations Research and Management Science, ISSN: 2214-7934, Vol: 307, Page: 495-526
2021
- 6Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations6
- Citation Indexes6
Book Chapter Description
This chapter, based on material provided and written by Prof. Dr. Yuriy Stoyan & Prof. Dr. Tatiana Romanova (The National Academy of Sciences of Ukraine, Institute of Mechanical Engineering Problems, Department of Mathematical Modeling and Optimal Design, Kharkiv, Ukraine & Kharkiv National University of Radioelectronics, Department of Applied Mathematics.), is devoted to the phi-function technique used for mathematical modeling of cutting and packing (C&P) problems. Phi-functions are constructed here for some 2D and 3D geometric objects. Phi-functions can be described by quite simple formulas. A general solution strategy using phi-functions is outlined. Conceptually, the Phi-function approach exploits NLP and MINLP and can be understood as cutting and packing beyond and within Mathematical Programming. It also exploits polylithic modeling and solution techniques.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85114350584&origin=inward; http://dx.doi.org/10.1007/978-3-030-73237-0_15; https://link.springer.com/10.1007/978-3-030-73237-0_15; https://dx.doi.org/10.1007/978-3-030-73237-0_15; https://link.springer.com/chapter/10.1007/978-3-030-73237-0_15
Springer Science and Business Media LLC
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