Int. J. Web and Grid Services, Vol. Tasks assignment for Grid computing Meriem Meddeber Department of Mathematics and Computer Science, University of Mascara, Mascara, Algeria E-mail: m.meddeber@yahoo.fr Belabbas Yagoubi* Department of Computer Science, University of Oran, Oran, Algeria E-mail: byagoubi@gmail.com *Corresponding author Abstract: A grid computing environment involves cooperation and sharing resources among distributed machines. Users may dispatch their tasks to remote computing resources instead of just computing locally. Hence, task assignment is an important issue in a grid computing environment. It plays a crucial role in achieving high utilisation of resources. Due to heterogeneity of resources, assigning an application is significantly complicated and challenging task in grid system. Tasks assignment becomes much more complex when it comes to assign tasks with precedence constraints represented by a Directed Acyclic Graph (DAG). In this paper, we propose a dependent task assignment strategy for Grids. Keywords: dependent tasks; grid computing; tasks assignment; DAG; directed acyclic graph; grid model; GridSim. Reference to this paper should be made as follows: Meddeber, M. and Yagoubi, B. (2011) ‘Tasks assignment for grid computing’, Int. J. Web and Grid Services, Vol. Biographical notes: Meriem Medebber received her Master’s Degree from the University of Mascara in 2008 and currently, she is a Doctor candidate, at the University of Oran, Algeria. Her research interests include scheduling and load balancing in Grid computing. Belabbas Yagoubi holds Bachelor in Mathematics, Master and PhD in Computer Science. His current research interests include Grid/Cloud computing and load balancing in distributed systems. He is currently, an Associate Professor at the Faculty of Computer Science, Oran University, Algeria. Copyright © 2011 Inderscience Enterprises Ltd.