Grid computing, which is a type of parallel and distributed system that enables the sharing,rnselection, and aggregation of geographically distributed "autonomous" resources, is one ofrnthe currently emerging computing technologies gaining much attention from bothrnresearchers and end-users. This thesis is concerned with the study of concepts andrncomponents that are used in the deployment of computational Grid, including the testing ofrnits middleware software Globus Toolkit.rnThe study of Grid concepts and components performed by this thesis work includes thernconstruction of sample Grid testbed, followed by testing its performance by using a samplerncomputationally intensive LM Hash cracking application with customizations for Gridrnenvironment.rnAs the technology becomes more pervasive and our technological world becomes morerncomplex, without proper and timely acquaintance and understanding of the technology,rnstakeholders of AAU will find themselves at an increasing disadvantage. The work ofrnintroducing Grid computing, by deploying sample Grid testbed, to the users, students andrnresearchers of AAU is one of the timely and economically appropriate works in this regard;rnand hence the other objective of this thesis work.rnThis thesis also contains a detailed deployment and planning study of Grid construction inrnthe AAU environment. This is further supported by a well-documented step-by-steprninstallation and configuration procedure that is followed in the construction of the sampleGrid testbed.