One-Sided Optimal Assignment and Swap Algorithm for Two-Sided Optimization of Assignment Problem

- Journal title : Journal of the Korea Society of Computer and Information
- Volume 20, Issue 12, 2015, pp.75-82
- Publisher : Korean Society of Computer Information
- DOI : 10.9708/jksci.2015.20.12.075

Title & Authors

One-Sided Optimal Assignment and Swap Algorithm for Two-Sided Optimization of Assignment Problem

Lee, Sang-Un;

Lee, Sang-Un;

Abstract

Generally, the optimal solution of assignment problem can be obtained by Hungarian algorithm of two-sided optimization with time complexity . This paper suggests one-sided optimal assignment and swap optimization algorithm with time complexity can be achieve the goal of two-sided optimization. This algorithm selects the minimum cost for each row, and reassigns over-assigned to under-assigned cell. Next, that verifies the existence of swap optimization candidates, and swap optimizes with . For 27 experimental data, the swap-optimization performs only 22% of data, and 78% of data can be get the two-sided optimal result through one-sided optimal result. Also, that can be improves on the solution of best known solution for partial problems.

Keywords

Hungarian Algorithm;Minimum Cost;One-sided Optimization;Reassignment;Swap;

Language

Korean

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