2022-10-03T20:38:28Zhttps://ir.kagoshima-u.ac.jp/?action=repository_oaipmhoai:ir.kagoshima-u.ac.jp:000093592019-11-22T06:55:00Z00041:00042
Power law in a one-dimensional random sequential packingenghttp://hdl.handle.net/10232/1061Departmental Bulletin PaperISOKAWA, YukinaoA one-dimensional random sequential packing problem is studied under the assumption that packed intervals may have arbitrarily small lengths. After generating lengths of intervals according to a probability distribution G and packing these intervals into an interval [0, x), we denote by F(x, b) the mean number of packed intervals whose lengths are larger than b. Then, under a general assumption on G, we obtain an explicit expression for F(x, b) using G. Furthermore, when G satisfies a power law, we show that F(x, b) satisfies another power law which is closely connected with that for G.鹿児島大学教育学部研究紀要. 自然科学編 = Bulletin of the Faculty of Education, Kagoshima University. Natural science551920040389-6692AN00408518publisher400https://ir.kagoshima-u.ac.jp/?action=repository_action_common_download&item_id=9359&item_no=1&attribute_id=16&file_no=1自然科学鹿児島大学論文(Article)2016-10-28