Start ‐ choose untreated threat Tk having

![0_image_0.png](0_image_0.png)

hightest initial threat index Threat Parameters calculation (slope, heading etc)
From A set od DAs D, calculate a subset Dcap € D 
such that every element DAi € Dcap has capability high enough to neutralize assigned threat For each DAc €DAcap calculate POIs and using threat heading find subset of DAcap DAp that have DAs that appear to be potential taregts of Tk Calculate time to DA, time before Hit, entry

![0_image_1.png](0_image_1.png)

point, exit point.

Make pseudo DA‐Threat pairs. calculate weight of each pair using paramters calculated above Send proposal to the DA having hightes pseudo pair weight.

Prposal Accepted ‐ Load on DA and other paramters allow to accomodate another threat Asssign threat to DA ‐ else send proposal to next highest weighted pseudo pair Figure 5: Proposed Solution 

## C. Weapon Allocation Model

Once threat-DA pairing is done, next step is to assign members of a set of threats to the members of a set of Weapon Systems (WSs) present in assigned DAi i.e. creating matches between the elements of two disjoint sets. 

Since threat and weapon libraries are correlated, using this correlation, this process creates a preference list of WS in general for the assigned threat showing the WSs that are good enough in terms of capability to neutralize assigned threat. Algorithm then searches for matching WSs from the set of WSs in hand. Using threat parameters like heading, course, direction etc, WA finds a subset of WSs found in previous set that have or are expected to have this threat in their range at some timestamp t0. Let this set be represented by WSp. For each WS' belonging to WSp, a temporary pairing of threat and WS' is made. For each pair, algorithm calculates time to WS', distance from WS', tome of flight (TOF for WS'), required elevation angle for WS', lead calculations and launch points based on velocity of threat and TOF of WS'. For each temporary pair, algorithm calculates the weight of pair using a parametric weighted equation. A proposal is sent to the weapon system WS' of selected temporary pseudo pair. If it is accepted by the WS', threat is assigned to WS' else a new proposal is created and sent to the weapon system WS' belonging to next pseudo pair. Figure 6 shows the concept of entry point, exit points along with POI calculation for WS. The basic mathematics for WS - threat POI calculations is 50% same as that of DA-threat POI calculation. Since WSs have their own sweep and start angle. While calculation POIs, there is a need to consider WS parameters like Arc boundaries, sweep angle, start angle, elevation angle, field of fire etc. 