@article {IOPORT.05622360, author = {Boudhar, Mourad}, title = {Scheduling with undirected graphs: motivations and reviews.}, year = {2009}, journal = {International Journal of Operational Research}, volume = {6}, number = {3}, issn = {1745-7645}, pages = {405-419}, publisher = {Inderscience Enterprises, Gen\`eve}, doi = {10.1504/IJOR.2009.026940}, abstract = {Summary: We aim at compiling the bibliography and the recent developments on scheduling problems involving undirected graphs. Two types of problems are considered: the mutual exclusion scheduling and the scheduling with batch-compatible jobs. We first consider the scheduling problems that can be solved by creating an undirected graph with a vertex for each job and an edge between every pair of conflicting jobs. Then, we consider the problem of minimising the makespan on a batch processing machine in which jobs are not at all compatible. This relation of compatibility is represented by an undirected graph called `compatibility graph'.}, identifier = {05622360}, }