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Scheduling on parallel machines with servers

by Kravchenko, S.A., Werner, F..

Series: 1998-30, Preprints

90B35 Scheduling theory, deterministic

In this paper, we consider the problem of scheduling a set of jobs on a set of identical parallel machines.
Before the processing of a job can start, a setup is required which has to be performed by one server of a given set of available servers.
We consider the complexity of such problems for the minimization of makespan. For the problem with unit setup times, m machines and m-1 servers, we give a pseudopolynomial algorithm. However, the problem with
fixed number of machines and servers in the case of minimizing maximum lateness is proven to be unary NP-hard. Moreover, we perform a worst-case analysis of two list scheduling algorithms for makespan minimization.

Parallel machine scheduling, setup times, NP-hard problems, pseudopolynomial algorithm, flexible manufacturing