Complexity results for flow-shop and open-shop scheduling problems with transportation delays

Peter Brucker , T.C. Edwin Cheng , Sigrid Knust , Natalia V. Shakhlevich

The paper is published: Annals of Operations Research 129, 81-106

MSC 2000

90B35 Scheduling theory, deterministic

Abstract
We consider shop problems with transportation delays where not only the jobs on the machines have to be scheduled, but also transportation of the jobs between the machines has to be taken into account. Jobs consisting of a given number of operations have to be processed on machines in such a way that each machine processes at most one operation at a time and a job is not processed by more than one machine simultaneously. Transportation delays occur if a job changes from one machine to another. The objective is to find a feasible schedule which minimizes some objective function.