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Network analysis is a fundamental basis for the applications of community resources scheduling. The Multi- criteria constrained maximal flow problem with route capacity changing with time is mainly discussed in this paper. The geometry algebra unit based coding is used to achieve a geometric algebra expression of network diagram. The network connectivity and path search are implemented based on geometric product. With the help of the independent computation and the inner linkage with Boolean operations of geometric algebra computation, Multi- criteria are integrated based on the constraint matrix, and then the Multi- criteria Constrained Maximal Flow Analysis algorithm with route capacity changing is proposed. The algorithm was implemented and validated with maximum flow analysis under the conditions of pollutant dispersion cases. The results show that the geometric algebra based network analysis algorithm can effectively support multi-dimensional community networks under the constraints of scheduling analysis of materials, which also can support rapid computing and updating the weight of external constraints and changes in conditions of maximum flow problems.

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