Evolutionary estimation of diffusion models in multi-generation NAND flash memory using genetic algorithm

Yiming Li*, Su Yun Chiang, Kuen Ying Liou

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, using the realistic market data of NAND flash memory in the past decade, we provide theoretical arguments and empirical evidence for how genetic algorithms (GA) can he used for efficient estimation of macro-level diffusion models. Under the comparison of two methods, we perform two parts; one is the estimation of growth of single generation of NAND flash memory and the other is the estimation of growth of multi-generation NAND flash memory. In the first part, we find the estimated ability of GA is as good as nonlinear least square (NLS), but GA can overcome initial guess problems that NLS couldn't. In the second part, we find the result of estimation by NLS method cannot converge. Thus, GA is superior to NLS when we perform the estimation of multi-generation flash memory. According to the preliminary results above, we could conclude that GA is suited for estimation of diffusion model than that of the NLS; in particular, for multi-generation NAND flash memory.

Original languageEnglish
Title of host publicationComputational Methods in Science and Engineering - Theory and Computation
Subtitle of host publicationOld Problems and New Challenges, Lectures Presented at the Int. Conf. Computational Methods in Sci. Eng. 2007 ICCMSE 2007
Pages671-676
Number of pages6
Edition1
DOIs
StatePublished - 2007
Event5th International Conference on Computational Methods in Science and Engineering, ICCMSE 2007 - Corfu, Greece
Duration: 25 Sep 200730 Sep 2007

Publication series

NameAIP Conference Proceedings
Number1
Volume963
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference5th International Conference on Computational Methods in Science and Engineering, ICCMSE 2007
CountryGreece
CityCorfu
Period25/09/0730/09/07

Keywords

  • Analytical solution
  • Diffusion model
  • Dynamic growth
  • Flash memory
  • Genetic algorithm
  • Multi-generation
  • Nonlinear least square
  • Numerical method

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    Li, Y., Chiang, S. Y., & Liou, K. Y. (2007). Evolutionary estimation of diffusion models in multi-generation NAND flash memory using genetic algorithm. In Computational Methods in Science and Engineering - Theory and Computation: Old Problems and New Challenges, Lectures Presented at the Int. Conf. Computational Methods in Sci. Eng. 2007 ICCMSE 2007 (1 ed., pp. 671-676). (AIP Conference Proceedings; Vol. 963, No. 1). https://doi.org/10.1063/1.2827054