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Dynamic and Interactive nature of the processes in the Distributed Exascale computing system requires the system to be able to make Load Balancing in runtime. In this paper proposed applying Multiple Multidimensional Knapsack Problem for overcome imbalance at time of occurrence of the dynamic and interactive event at Distributed Exascale computing environment.Keywords: distributed exascale computing, load balancing, dynamic and interactive event, multiple knapsack problem.

Resource discovery in distributed Exascale computing systems, in addition to managing events resulting in failures due to not finding the resource, as well as failure to perform resource discovery activities at the acceptable time, needs to be able to manage events resulting in failures due to dynamic and interactive nature as well. While investigating the concept of dynamic and interactive nature and its impact on RD functionality, this paper introduces a mathematical model of events resulting in RD failure in this type of computing systems based on descriptive spaces of RD activities. This mathematical model helps to analyze this issue that in what situations the dynamic and interactive nature would lead to the failure of RD and what capabilities RD should have to prevent the failure.