## Worst-Case Analysis of an Approximation Algorithm for Single Machine Scheduling Problem

### Natalia Grigoreva

DOI: http://dx.doi.org/10.15439/2021F66

Citation: Proceedings of the 16th Conference on Computer Science and Intelligence Systems, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 25, pages 221–225 (2021)

Abstract. The problem of minimizing the maximum delivery times on the single processor is a classical combinatorial optimization problem. The problem is denoted by 1|rj,qj|Cmax, has many applications, and it is NP-hard in stronge sense. The goal of this paper is to propose a new 3/2-approximation algorithm, which runs in O(n log n) time. We proved that the bound of 3/2 is tight. To check the efficiency of the algorithm we tested it on random generated problems of up to 5000 jobs.

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