By minimizing both the number of different cutting patterns and material waste, the proposed method is able to capture the ideal solution of the analytical methods.
where v j * is the ideal solution of the alternatives with respect to criterion j and v ij is the weighted normalized vector corresponding to the alternatives with respect to criterion j.
The separation from the negative ideal alternative is S_{i} ', =, left[ {sum left( {v^{prime}_{j} - v_{ij} } right)^{2} } right]^{raise.5exhbox{$scriptstyle 1$}kern-.1em/ kern-.15emlower.25exhbox{ kern-.15emlower.25exhbox{′ is the negative ideal solution of the alternatives with respect to criterion.
While obtaining ideal solutions of the analytical methods, the new approach limits the wastage to a minimum number of stock materials.
Depending on the type of uncertainties, conditions are found under which convergence to the unique ideal solution of both the system and the observer, either exponentially or with a bounded error, is proven.
Assuming a centralized perspective at the system-level, the set of Pareto-optimal alternatives represents the ideal solution of most of the problems.
For this end, the multi-dimensional and flexible PON (Mflexi-PON) will emerge as an ideal solution of supporting the heterogeneous access with different resource multiplexing ways.
Proximity to the ideal solution Ci* was calculated as follows: {text{Ci}}, =, S_{i} ', /, left( {S_{i} , + S_{i} '} right),, 0, < {text{ Ci}}, <, 1, (6 where Si* is the separation from the ideal solution of alternative i and Si′ is the separation from the negative ideal solution of alternative i.
Because we cannot solve the lp-norm minimization problem directly, we reformed it by the weighted l1-norm: In order to obtain an ideal solution of (23), we used the iterative form as follows: where the weight vector ω is calculated from the last iterate x i, soft z, q) is the soft-threshold function with a threshold q, and soft x, q )=sign(x )max(| x | - q, 0).
"It's the art of the practical," he said, saying that the ideal solution of no upper limit on Cry9C looked unattainable.
The proposed method is able to capture the ideal solution of analytical methods.
