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The '''weapon target assignment problem''' is often formulated as the following nonlinear [[integer programming]] problem:
:<math>\min \sum_{j = 1}^
subject to the constraints
:<math>\sum_{j = 1}^
:<math>x_{ij}\ge 0\text{ and integer for }i = 1, \ldots, m \text{ and }j = 1, \ldots, n.</math>
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