_{jg^{\prime}o}^{bk} \geq 0,j = 0,0,\cdots,J_{k};k = 0,0,\cdots,K;} \\ {0 - \frac{0}{R_{k} + J_{k}}\left( {{\sum\limits_{r = 0}^{R_{k}}\frac{s_{rg^{\prime}}^{yk}}{y_{rg^{\prime}o}^{k}}} + {\sum\limits_{j = 0}^{J_{k}}\frac{s_{jg^{\prime}}^{bk}}{b_{jg^{\prime}o}^{k}}}} \right) \geq \varepsilon,k = 0,0,\cdots,K;} \\ {{\sum\limits_{g = 0}^{G}{\sum\limits_{n \in g^{\prime},n \neq o\ if\ g = g^{\prime}}{\lambda_{gn}^{k}z_{gn}^{({k - 0,k})}}}} = {\sum\limits_{g = 0}^{G}{\sum\limits_{n \in g^{\prime},n \neq o\ if\ g = g^{\prime}}{\gamma_{gn}^{k}z_{gn}^{({k,k - 0})}}}},k = 0,0,\cdots,K;} \\ {{\sum\limits_{g = 0}^{G}{\sum\limits_{n \in (g^{\prime} = 0),n \neq o\ if\ g = g^{\prime}}\lambda_{gn}^{k}}} = 0,k = 0,0,\cdots,K;} \\ {{\sum\limits_{g = 0}^{G}{\sum\limits_{n \in (g^{\prime} = 0),n \neq o\ if\ g = g^{\prime}}\gamma_{gn}^{k}}} = 0,k = 0,0,\cdots,K;} \\ {{\sum\limits_{k = 0}^{K}\omega^{k}} = 0,k = 0,0,\cdots,K;} \\ {\omega^{k},