1. Scheduling Jobs in Multi-Grid Environment
Albana Roçi and Reggie Davidrajuh
Department of Electronic Engineering and Computer Science

2. Outline
Background
Proposed Algorithm
Results
Conclusion

3. Multi Grid
A grid job is organized as a flow of different activities [1, 2]
The grid should be interconnected with some other grids to enable the executions of the tasks [1]
Figure 1. Grid System [2]

4. Activity – Oriented Petri Nets (GPenSim)
Model Simplicity
Resource management
Figure 2. Classical Petri Net Model
Figure 3. AOPN Model

5. Example The first module has 16 tasks and 4 heterogeneous resources.
The second module has 17 tasks and 4 heterogeneous resources.
Figure 4. First Module
Figure 5. Second Module

6. Proposed Algorithm
When an external request comes to the broker, it checks for the availability of the local resource:
If the task has been completed
The task is in execution mode but the recourse does not contribute in the execution.
If the resource is available, but the task has not started the execution because it is waiting for another task under execution to be completed. It checks the time gap between them.

7. Example Lets suppose that the process is in the 3rd TU.
The fifth task from the second module requires first resource from the first module.
Figure 6. Graph model of the First Module

8. Example Figure 7. Depth First Search algorithm
Figure 8. Topological sort algorithm

9. Results
Naïve Solution
Proposed Algorithm

10. Conclusion A understandable and efficient algorithm is implemented
using GPenSim
The time of the execution is minimized
The resources are well organized
There is no any deadlock during the processing

11. Thank You!

12. References
[1] M. Silberstein, D. Geiger, A. Schuster, & M. Livny, Scheduling mixed workloads in multi-grids: the grid execution hierarchy. In High Performance Distributed Computing, th IEEE International Symposium on (pp ). IEEE. June 2006.
[2] R. Davidrajuh, A New Two-Phase Approach for Petri Net Based Modeling of Scheduling Problems. In Industrial Engineering, Management Science and Applications 2015 (pp ). Springer, Berlin, Heidelberg
[3] General Purpose Petri Net Simulator (GPenSIM):