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and

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body--uriencoded--%7B\rm w%7D_k = %7B\rm w%7D(t_k)
 are the the weight coefficients for time (usually the weight of the later times is higher than that for early times). 


The constraints are:


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bodyJ_n \geq 0


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body\gamma_n \geq 0


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body--uriencoded--f_%7Bnm%7D \ \geq 0


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body--uriencoded--0 \leq f_%7BW,nn%7D \leq 1


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body--uriencoded--\sum_m f%5e%7B\uparrow%7D_%7BO, nm%7D \ \leq 1


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body--uriencoded--\sum_m f%5e%7B\uparrow%7D_%7BG, nm%7D \ \leq 1


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body--uriencoded--\sum_m f%5e%7B\downarrow%7D_%7BW, nm%7D \ \leq 1


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body--uriencoded--\sum_m f%5e%7B\downarrow%7D_%7BG, nm%7D \ \leq 1


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J_n \geq  0 ,  \quad \gamma_n \geq 0,  \quad f_{nm} \ \geq  0 , \quad 0 \leq f_{W,nn} \leq 1, \quad \sum_m f^{\uparrow}_{O, nm} \ \leq 1 , \quad \sum_m f^{\uparrow}_{G, nm} \ \leq 1, \quad \sum_m f^{\downarrow}_{W, nm} \ \leq 1, \quad \sum_m f^{\downarrow}_{G, nm} \ \leq 1

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