Hansen, P., Mladenovic, N., Taillard, E.: Heuristic solution of the multisource Weber problem as a p-median problem. Oper. Res. Lett. 22(2), 55–62 (1998) Article MathSciNet MATH Google Scholar Jiang, J.L., Yuan, X.M.: A heuristic algorithm for constrained multi-source Weber...
Definition 1 1. The optimal solution function to (1), \({\varvec{x}}^*:\varTheta \rightarrow {\mathbb {R}}^n\), is defined by $$\begin{aligned}{\varvec{x}}^*:\pmb \theta \mapsto \text {argmin}_{{\varvec{x}}\in {\mathcal {X}}(\pmb \theta )} f({\varvec{x...
A Globally Optimal Solution in Computer Science refers to a solution that is the best possible outcome for a given problem, achieved by combining optimal solutions to its subproblems. AI generated definition based on:Electronic Design Automation,2009 ...
Finding the exact solution to the optimization problem of Eq. (4) is computationally infeasible as it requires a brute-force search over all possible \(\left(\begin{array}{c}| {{{\mathcal{S}}}| \\ L\end{array}\right)\) configurations of the fast layer. In the SM, we prove, howe...
(t) is the corresponding velocity which governs both step-size and direction, Pbest,i represents design’s personal best location found during the search, Gbest represents the groups best location found (this is the solution of the optimization search at the end of the algorithm run), ⨀ ...
Article MathSciNet CAS PubMed MATH Google Scholar Chance, B., Garfinkel, D., Higgins, J., Hess, B. & Chance, E. M. Metabolic control mechanisms. 5. A solution for the equations representing interaction between glycolysis and respiration in ascites tumor cells. J. Biol. Chem. 235, 2426...
Definition 1 Let G be a graph. We say that an independent set X⊆V(G) of G is maximal if no proper superset of X is an independent set of G. Problem 1 #MaximalBIS. Input: A bipartite graph G. Output: The number of maximal independent sets of G. The following theorem is proved...
This paper is devoted to the problem of minimax optimal control problems of an extensible beam equation with distributed controls and initial velocity disturbances (or noises). The existence of optimal solutions for distributed control with fixed disturb
Any dual feasible solution \varvec{p}\in \mathcal L^N_\infty ({\mathcal {X}},\mu ) gives rise to a Borel probability measure \pi \in \mathcal P(\mathcal X \times \mathcal Y) defined through \pi ( \varvec{y} \in \mathcal B) = \nu (\varvec{y} \in \mathcal B) for...
have a solution. in the case of saddle-point problems, given the convex-concave function \(f_{\varvec{\beta }}(\cdot ,\cdot ):{{\mathcal {x}}}\times {{\mathcal {y}}}\mapsto \mathbb {r}\) , it is well-known that the operator \(f:{{\mathcal {x}}}\times {{\mathcal...