### 2000-01

#### An approximation algorithm for problem $P,S1 | s_i = 1 | \sum C_i$

Series: 2000-01, Preprints

MSC:
90B35 Scheduling theory, deterministic

Abstract:
In this note we consider the problem of scheduling a set of jobs on m identical parallel machines.
For each job, a setup has to be doen by a single server. The objective is to minimize the sum of the completion times.
For this strongly NP-hard problem, we give an approximation algortihm with an absolute error bounded by the product of the number of short jobs
(with processing times less than m - 1) and m - 2.

Keywords:
scheduling, parallel amchines, single server, unit setup times, total completion time, approximation algorithm

This paper was published in:
Information Processing Letters, Vol. 79, 2001, 291 - 296.