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Chinese remainder theorem, ancient theorem that gives the conditions necessary for multiple equations to have a simultaneous integer solution.
Then there exists an integer solution a such that a ≡ ai (mod ni) for each i = 1, 2, …, k.
The first task of the scheduler is to find the smallest non-zero integer solution for these repetitions.
The resulting linear programming bounds on the optimal integer solution are weak.
The main advantage of the method comes from the fact that an integer solution is guaranteed.
In this work, we construct a fuzzy identity based signature (FIBS) scheme based on the Small Integer Solution (SIS) Problem.
For the cases where the strengthened SDP does not give rise to a global integer solution, we incorporate other valid inequalities.
The sequence of problems is repeatedly solved, either until the optimal integer solution is found, or else until there is no improvement within a specified tolerance, in which case one switches to a branch and bound method.
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We therefore relax the integer nature of the optimization variable n and use a convex solver for finding a non-integer solution.
We can observe that the curve of the power allocation solution in problem P5 is smooth, which corresponds to the non-integer solution of x t).
We use the interior-point numerical algorithm for solving problem (5) and obtaining a non-integer solution (Figure 6). Figure 6 Optimal processor allocation.
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