Can We Use Burstiness Mathematical Modeling To Optimize Swarm Warfare Protection Programs?

For these of us who research bottlenecks in knowledge circulation and communication networks, we understand there are lots of methods of assuaging the challenges or overwhelming of such programs. Burstiness and the challenges it poses to knowledge circulation in networks, or ‘denial of service assaults’ is certainly related, philosophically talking, to the issues of mitigating in opposition to incoming swarms of missiles, warfighters, robotic unmanned suicide programs or the looks of digital decoys throughout a big scale assault. Since nothing is invisible, stealth applied sciences solely enable the enemy assault to get to date, as soon as detected, any viable assault regardless of how shut will depend on some type of technique that features swarming and overwhelming of protection programs with false constructive decoy targets.

Now then, simply so we’re all on the identical web page right here, let me take a second to outline phrases:

(1) The Definition of Bursty: In telecommunication, the time period burst transmission or knowledge burst has the next meanings: Any comparatively high-bandwidth transmission over a brief interval. For instance, a obtain would possibly use 2 Mbit/s on common, whereas having “peaks” bursting as much as, say, 2.four Mbit/s.

(2) The Definition of Burstiness: Burstiness is a attribute of communications involving knowledge that’s transmitted intermittently — in bursts — reasonably than as a steady stream. A burst is a transmission involving a considerable amount of knowledge despatched in a short while, normally triggered because of some threshold being reached.

(3) The Definition of Swarm in a Navy Setting: Navy swarming is a battlefield tactic designed to overwhelm or saturate the defenses of the principal goal or goal. Navy swarming is usually encountered in uneven warfare the place opposing forces should not of the identical dimension, or capability.

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We learn about different forms of swarms employed by bugs resembling a swarm of bees overwhelming a big animal, like a bear attacking the hive to get to the honey. In warfare, it is the identical recreation. In Vietnam the Viet Cong employed this tactic with wave upon wave of mass assaults. Right this moment, swarm missile volleys are thought of the best method to decisively win a Naval Battle in opposition to one other Navy.

Equally, a floor land based mostly system would possibly strategically launch swarms at a US Naval vessel to overwhelm the brand new Aegis System, as soon as the ship runs out of projectiles for protection it’s both denied that space, or dangers being hit and sunk.

Okay so, there are lots of mathematic algorithms used to detect the onset of burstiness in digital networks and communication programs, and techniques to re-route knowledge, decelerate enter, output or processing. If this fails it might trigger short-term crash of the system, lack of knowledge, or full backup, which has occurred within the inventory markets with HFT (excessive frequency buying and selling) programs (cite: 1). In fact, when life and loss of life are on the road, it might spell catastrophe, living proof is likely to be throughout fight operations, the place the necessary warfighter knowledge, focusing on knowledge are giving precedence whereas different knowledge resembling logistics, accounting, and different nonessential takes a again seat (cite: 2).

One latest paper “Quadratic pattern entropy as a measure of burstiness A research in how nicely Renyi entropy price and quadratic pattern entropy can seize the presence of spikes in time-series knowledge,” by Kira Huselius Gylling. Within the summary it states:

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“Learning varied entropy measures, properties for various distributions, each theoretically and by way of simulation, in an effort to higher learn the way these measures may very well be used to characterise the predictability and burstiness of time sequence. We discover {that a} low entropy can point out a heavy-tailed distribution, which for time sequence corresponds to a excessive burstiness. Utilizing a earlier outcome that connects the quadratic pattern entropy for a time sequence with the Renyi entropy price of order 2, we recommend a manner of detecting burstiness by evaluating the quadratic pattern entropy of the time sequence with the Renyi entropy price of order 2 for a symmetric and a heavy-tailed distribution. “

So then, take a missile or projectile swarm headed for a US Navy warship or an Plane Provider, because the swarm begins to decrease as a result of heavy protection, the protection system would detect a excessive entropy lull, if the swarm is being defeated, if the entropy or drop price in numbers is gradual to decrease, then it means the protection system should ramp as much as overwhelm the swarm or anticipate the burstiness of the incoming swarm to problem the system at a future increased degree. Nonetheless if the entropy drops of quick, then we all know that spherical is being received and sources can now be allotted elsewhere for reloading or different potential threats.

Such swarm protection programs now act completely with synthetic intelligence as issues occur too quick for human determination making within the allocation or use directed determination making, so utilizing this information we are able to design a extra strong system to problem the out limits of swarm volleys in opposition to our warships. The US Navy has undergone floor warfare ‘battle video games’ testing the bounds of their programs, in one of many first giant workout routines one Admiral volley’ed the whole lot he had as quickly as the sport began, and overwhelmed the protection. Decimating the opposite aspect, they instant stopped the wargame and needed to begin over.

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He knew the vulnerability of their protection programs and the percentages of getting by the layered protection. Right this moment, most of these vulnerabilities have been shored up. Nonetheless sooner or later there can be swarms in a lot better numbers to take care of, maybe that is why I’ve ready this text to assist consider borrowing methods and applied sciences from different domains to make sure an iron protection and survival. Suppose on this.

– Cite 1: Analysis Paper: “The Affect of Administration Operations on the Virtualized Datacenter” by Vijayaraghavan Soundararajan and Jennifer M. Anderson. 2010 ACM 978-1-4503-0053-7/10/0.

– Cite 2: Thesis Paper: “The Advantages of a Community Tasking Order in Fight Search and Rescue Missions” by Murat Gocman. TUAF AFIT/GCE/ENG/09-01. USAF, Institute of Expertise – Wright-Patterson AFB.

Really useful Studying:

(1) Analysis Paper: “Layering as Optimization Decomposition: A Mathematical Idea of Community Architectures” by Mung Chiang, Steven H. Low, A. Robert Calderbank, and John C. Doyle. 0018-9219. 2007 IEEE Vol. 95, No. 1.

(2) Analysis Paper: NRL – Naval Analysis Logistics: “A mannequin for geographically distributed fight interactions of swarming naval and air forces,” by Connor MeLemore. 2016, DOI: 10.1002/nav.21720.

(3) Analysis Paper: Calhoun – Institutional Archive of Submit Graduate Naval Faculty, Thesis; “2003-12 Protection of the ocean base – an analytical mannequin,” by Henry S. Kim.

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