Packing sets of patterns

Log-Normal and Mono-Sized Particles’ Packing into a Bounded Region

Many systems can be modeled with hard and various size spheres, therefore packing and geometrical structures of such sets are of great importance. In this paper, rigid spherical particles distributed in different sizes are randomly packed in confined spaces, using a parallel algorithm. Mersenne Twister algorithm was used to generate pseudorandom numbers for initial coordination of particles. Di...

 Abstract: Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The obj...

بررسی تعدادی از روشهای آماری جهت ترسیم نمودار کنترل مشاهدات انفرادی برای فرایندهای اتورگرسیو

  Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The objective fu...

روشی جدید برای چیدمان قطعات مستطیل شکل در یک فضای مستطیل شکل

 Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The objective fun...

Optimal Packings of Two Ellipses in a Square

For each real number E in ]0, 1], we describe the densest packing PE of two non-overlapping congruent ellipses of aspect ratio E in a square. We find three different patterns as E belongs to ]0, 1/2], [1/2, E0] where E0 = √ (6 √ 3− 3)/11, and [E0, 1]. The technique of unavoidable sets – used by Friedman for proving the optimality of square packings – allows to prove the optimality of each packi...