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A Branch and Bound Algorithm for Sector Allocation of a Naval Task Group

机译:海军任务群部门分配的分支定界算法

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摘要

A naval task group (TG) is a collection of naval combatants and auxiliaries that are grouped together for the accomplishment of one or more missions. Ships forming a TG are located in predefined sectors. We define determination of ship sector locations to provide a robust air defense formation as the sector allocation problem (SAP). A robust formation is one that is very effective against a variety of attack scenarios but not necessarily the most effective against any scenario. We propose a 0-1 integer linear programming formulation for SAP. The model takes the size and the direction of threat into account as well as the defensive weapons of the naval TG. We develop tight lower and upper bounds by incorporating some valid inequalities and use a branch and bound algorithm to exactly solve SAP. We report computational results that demonstrate the effectiveness of the proposed solution approach.
机译:海军任务组(TG)是海军战斗人员和辅助人员的集合,它们被组合在一起以完成一个或多个任务。形成TG的船只位于预定义的扇区中。我们定义确定船舶部门的位置,以提供强大的防空阵型作为部门分配问题(SAP)。稳健的阵型是对各种攻击情况都非常有效的,但不一定对任何情况都最有效。我们为SAP提出0-1整数线性规划公式。该模型将威胁的大小和方向以及海军TG的防御武器考虑在内。我们通过合并一些有效的不等式来建立严格的上下限,并使用分支定界算法精确求解SAP。我们报告的计算结果证明了所提出的解决方案方法的有效性。

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