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On the basis of four key attributes of the network system viability, analytical hierarchy process is used to divide the network system from top to bottom into three factor layers of software, hardware and running environment, and a set of extractable, observable and maneuverable index system is proposed. A proper algorithm is applied to perform quantitative calculation, and the results are analyzed by a graded evaluation, which can clearly reflect the key attributes of the network system viability. Verified by experiment, the proposed index system of network system viability quantitative evaluation is more feasible, which makes the evaluation results more significant to the guidance of engineering. [ABSTRACT FROM AUTHOR]