A detailed experimental analysis of library sort algorithm

One of the basic problem in computer science is to arrange the items in lexicographic order. Sorting is one of the major research topic. There are number of sorting algorithms. This paper presents the implementation and detailed analysis of library sort. Library sort is also called gapped insertion sort. It is a sorting algorithm that uses insertion sort with gaps. Time taken by insertion sort is O (n²) because each insertion takes O (n) time; and library sort has insertion time O (log n) with high probability. Total running time of library sort is O (n log n) time with high probability. Library sort has better run time than insertion sort, but the library sort also has some issues. The first issue is the value of gap which is denoted by `ε´, the range of gap is given, but it is yet to be implemented to check that given range is satisfying the concept of library sort algorithm. The second issue is re-balancing which accounts the cost and time of library sort algorithm. The third issue is that, only a theoretical concept of library sort is given, but the concept is not implemented. So, to overcome these issues of library sort, in this paper, we have implemented the concept of library sort and done the detailed experimental analysis of library sort algorithm, and measure the performance of library sort algorithm on a dataset.