What is cycling in Linear Programming?
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Cycling refers to a situation in the Simplex Method where the algorithm returns to the same set of basic variables repeatedly, without making progress toward an optimal solution. This can happen in degenerate problems. Anti-cycling rules, such as Bland's rule, are used to prevent this.
Cycling in Linear Programming refers to a situation where the Simplex Method revisits the same basic feasible solutions repeatedly without making progress toward optimality. This occurs due to ties in the selection of entering and leaving variables, preventing the algorithm from converging to an optimal solution. Cycling can lead to inefficiency, but it can be resolved using techniques like Bland's Rule, which helps ensure a more systematic progression through feasible solutions.
Cycling in linear programming refers to a situation where an algorithm, like the simplex method, revisits the same basic feasible solutions repeatedly without making progress toward an optimal solution