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All possible convex hull (i.e. the minimum area convex polygon containing the planar set) algorithms ever published in scientific press have been analysed in this work. Two new convex hull algorithms created by myself have been presented. The running time of analysed algorithms has been surveyed. Three most popular algorithms (Graham Scan, Jarvis March and Quickhull), the oldest algorithm (Brute Force) as well as the both new ones have been implemented. Efficiency experiments have been carried out with them. The algorithms created by me achieved the best results. In order to raise the efficiency of all the algorithms I suggested a priori filtration of points, which decreases the amount of the original points by almost 50% and, consequently, the speed of algorithms is increased. The major part of this master work will be published in the magazine “Technological and economic development of economy”. Besides, the report of this work has been made in the conference of Lithuanian young scientists, called “Operation analysis and application”.

The present research paper deals with the comparison of static and dynamic data structures: static array, dynamic array, pointers array - class TList (Delphi) and dynamic doubly linked list, created with the help of recursive record.To compare the above mentioned structures, sorting (Bubble) and convex hull creation algorithms (Graham, Endrew) are realized, with the time of their implementation analysed. The algorithm of sorting (Bubble) is realized by four ways: static array, dynamic array, pointers array (class TList) and a dynamic doubly linked list, created with the help of recursive record.The algorithms of convex hull creation (Graham, Endrew) is realized by three ways: static array, dynamic array and pointers array (TList).The research paper also describes the pointers array class TList (Delphi), its properties and methods. The sorting method Sort of this class is compared with the sorting method of a “Bubble”. Using class templates, a universal class MList (C++) was created for work with dynamic linear linked lists.