By Kenichiro Kashihara
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Dynamic analysis Dynamic analysis is used to establish the optimal pattern of development over time, and can be done reasonably easily after the screening and sensitivity analysis. Dynamic programming is typically best suited for this analysis, as it deals effectively with nonconvex feasible regions such as those generated by exponential growth and economies of scale. 4. Presentation Presentation is the organization of the final results in a way that makes sense to the client, as the client needs to see why the proposed plan is preferable to alternative, to the appreciates, and that the trade-offs between objectives are reasonable.
Input data The software developed by Kao et al.  was tested and modified to ensure that it was appropriate for use in this research. The data input was carried out using the following two methods: 1. 2. Data such as N1(number of variables), NEQ (number of constraints containing ‘‘=’’), NGE (number of constraints containing ‘‘<’’ or ‘‘>’’), R(penalty value), and X (coordinates of the beginning and ending points) are input using the READ command. The objective function and constraints are input using the ‘‘SUB ROUTINE’’ function; the objective function is designated as SUBROUTINE FUN, whereas the constraints are designated as SUBROUTINE CON.
Research on the construction cost for sanitary system in Taiwan, Report No. 16, Grduate School of Environmental Engineering, National Taiwan University, Taiwan. 32 Water Treatment  Taiwan Water Supply Company, (1985). Water supply engineering construction and operation cost estimates. , and Qin, X. (2009). Inexact two-stage stochastic robust optimization model for water resources management under uncertainty. Environ. Eng. Sci. 26, 1765. R. (1990). Applied systems Analysis-Engineering Planning and Technology Management, Singarpore, Mc-Graw-Hill.
Comments and topics on Smarandache notions and problems by Kenichiro Kashihara