2007
DOI: 10.1002/nav.20247
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A branch‐and‐price algorithm for a targeting problem

Abstract: Abstract:In this paper, we consider a new weapon-target allocation problem with the objective of minimizing the overall firing cost. The problem is formulated as a nonlinear integer programming model, but it can be transformed into a linear integer programming model. We present a branch-and-price algorithm for the problem employing the disaggregated formulation, which has exponentially many columns denoting the feasible allocations of weapon systems to each target. A greedy-style heuristic is used to get some … Show more

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Cited by 29 publications
(14 citation statements)
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“…In other words, a logical DWTA model should incorporate the choice of the engagement occasion of weapons. Most of the previous researches on WTA focus on SWTA [5]- [19]. With respect to SWTA models, Hosein and Athans [3] proposed an asset-based SWTA model which was also used in [6] and [7].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In other words, a logical DWTA model should incorporate the choice of the engagement occasion of weapons. Most of the previous researches on WTA focus on SWTA [5]- [19]. With respect to SWTA models, Hosein and Athans [3] proposed an asset-based SWTA model which was also used in [6] and [7].…”
Section: Introductionmentioning
confidence: 99%
“…Besides, some WTA models also take into account the cost of weapons. For examples, Kwon et al [19] employed the overall firing cost as the objective function for optimization. Interested readers can find a more complicated model which considers the function of special assets in the work of Hosein et al [20].…”
Section: Introductionmentioning
confidence: 99%
“…Besides, the cost of weapons is also taken into account in some models like that in ref. [20]. A more complicated model which considers the function of special assets can be found in ref.…”
Section: Introductionmentioning
confidence: 99%
“…In fact, the probability model employed by Karasakal [11] and the target-based models are just special cases of the asset-based model proposed by Hosein and Athans [6]. Besides, the cost of weapons is also taken into account in some models, like that in the research of Kwon et al [22]. A more complicated model that considers the function of special assets can be found in [23].…”
Section: Introductionmentioning
confidence: 99%
“…Previous researches on WTA mainly focus on SWTA [9]- [22]. In respect of SWTA models, Hosein and Athans [6] proposed an asset-based SWTA model that was also used in [9] and [10].…”
Section: Introductionmentioning
confidence: 99%