Ijraset Journal For Research in Applied Science and Engineering Technology
Authors: Sreejith Sreekandan Nair, Govindarajan Lakshmikanthan
DOI Link: https://doi.org/10.22214/ijraset.2024.65945
Certificate: View Certificate
Over the past few years, the usage of security measures and tools that are based in the cloud has increased dramatically. However, the recent CrowdStrike outage which disrupted many organizations shows the increasing need for securing reliability and resilience of cloud based systems. Most of the existing ones are designed as a reactive approach, we suggest a new methodology focusing on proactive measures based on an AI enabled cascade failure prediction which utilizes cutting edge machine learning techniques, bio inspired resilience patterns and quantum aware architecture to address and mitigate security failures before they happen. Our framework managed to achieve 99.2 percent of successful predictions about potential security failures, and end users were able to reduce system recovery time by 76 percent for all experimental deployments which is a real progression in the area of cloud security resilience.
I. INTRODUCTION
The CrowdStrike outage of July 2024 serves as a crucial case study, highlighting the need for more sophisticated, predictive approaches to security resilience. Based on Figure 1, the downtime was apparently caused by the incorrect update of CrowdStrike Falcon sensor software that went out with a broken configuration file that corrupted the kernel-level driver. The major malfunction in the kernel-level driver of CrowdStrike triggered “blue screen of death” in affected Windows systems and the event had a global impact on millions of devices. The root cause of this entire calamity was traced back to a memory safety bug which was an out of bound read operation in the driver. Given that the software works at kernel mode which is designed to oversee threats on a system, its failure led to widespread crashes across system. All attempts to reboot these systems results in system crash. The recovery process required users to take action manually such as booting the device in safe mode in order to remove the corrupted file. But the systems that relied on BitLocker encryption faced further issues as it needs recovery keys to boot in safe mode.
Figure 1: CrowdStrike Outage - Causes & Impacts
The results of the CrowdStrike outage causing an affect in major industries such as financial services, healthcare and transportation. When the event occurred, it was estimated that the economic damage incurred would be somewhere in billions. In addition, this event has also pointed out the importance of a more comprehensive and anticipatory framework that addresses the cloud security incident logic. This incident has warranted through the fact that it may be necessary to adopt a more strategic and comprehensive diversification approach to outages,
In this research paper, we propose a comprehensive framework to mitigate the impact of future cloud-based security solution outages. This framework aims to enhance the resilience and reliability of cloud-based security solutions, ensuring the continuity of critical security operations. By implementing Quantum Aware Architecture , Bio-Inspired Resilence, decentralized architecture and effective failover strategies, organizations can enhance the resilience and reliability of their cloud-based security solutions.
II. LITERATURE REVIEW
Recent research has emphasized the increasing significance of robust and fault-tolerant systems capable of enduring a range of threats, such as natural calamities, cyber threats, and software malfunctions. A study by Gartner underscores the necessity for a "zero trust" strategy in cloud security, wherein every user, device, and application is consistently verified and authenticated, thus minimizing the effects of a single point of failure. This methodology can assist organizations in lowering the chances of widespread outages by ensuring that a failure in one element does not jeopardize the entire system. Moreover, research conducted by the National Institute of Standards and Technology delves into the idea of "community cloud computing," where businesses within a particular industry or geographical area unite to establish a shared cloud infrastructure.
Figure 2: Cloud Security Resilience Strategy
This collaborative approach can strengthen the resilience of cloud services, thereby diminishing the chances of widespread outages. By utilizing a shared cloud setup, organizations can gain from augmented redundancy and the ability to transition to alternative resources during a failure or outage. Similarly, a report from the Ponemon Institute regarding the financial implications of cyber risk scenarios highlights the need to tackle "monocultures" within software and hardware markets, as these can result in cascading failures and significant losses during a cyber incident. By diversifying their cloud-based security solutions and avoiding single provider or technology, organizations can reduce the risk of a single point of failure and the likelihood of extensive outages. The literature also stresses the importance of proactive fault tolerance and data recovery strategies in cloud-based environments. Researchers have recommended various methods, including dynamic resource allocation, redundancy, and automated failover, to guarantee the continuous availability of essential services and data amidst failures. As a final point, the conclusions that the literature provided are essential for the development of a coherent strategy which would reduce the effects of the failure of the cloud security solution, like in the case with CrowdStrike.
III. METHODOLOGY
Traditional cybersecurity methodologies have been predominantly reactive, leaving critical systems vulnerable to emerging threats. This comprehensive research introduces a AI-driven predictive framework that synergistically integrates advanced machine learning techniques, bio-inspired resilience patterns, and quantum-aware architectures to proactively prevent and mitigate potential security failures.
Figure 3: Proposed Comprehensive framework
A. Cascade Failure Prediction System
The Cascade Failure Prediction System anticipate and mitigate possible failures of a system before they extend through coupled elements. The system employs graph theory and machine learning to describe multi-faceted relationships among elements of the system. The system pinpoints possible sources of failure, predicts succession effects and gives information on how to alleviate the concerns. The Cascade Failure Prediction System would be useful in preventing outages suffered by CrowdStrike by handpicking weaknesses in the interconnected parts of the system and rectifying them proactively. It is possible to manage prevention of failures in a proactive manner by identifying and investigating the root causes of problems earlier. When the spike reaches a predefined threshold, this predictive capability allows the system to pre-emptively resubmit the network traffic to lessen the damage before it occurs. Further backup strategies, such as diversity and redundancy, enhance reliability of a wider system. Robustness of the system should also be tested as well, for there are known resilience tests that can be safely carried out.
Let F(G) represent the cascade failure probability in a system graph G:
F(G) = Σ(wi * P(Fi | Fj)) * I(Fi)
Where:
wi: Weight of component i
P(Fi | Fj): Conditional probability of failure
I(Fi): Impact factor of failure
Σ: Summation across all components
B. Bio-Inspired Defense System
The Bio-Inspired Defense System mimics biological immune system ability to learn, adapt, and respond to threats. Just like a biological immune system, it possesses a history record of previous threats and is able to identify and counteract an assault of a similar nature in later times. Such a system is able to change most of its defensive structures with each new threat it faces, thus improving its effectiveness against both the previously targeted attacks and against new ones. This helps counter zero day attacks and other such new threat quite satisfactorily. We create a mathematical model of the adaptive defense mechanism:
R(t) = Σ(wi * Li * Si)
Where:
- R(t): Resilience at time t
- wi: Weight of threat signature i
- Li: Learning intensity for signature i
- Si: Survival probability of defense strategy
C. Self-Healing Mechanism
The self-healing mechanism mimics biological regeneration processes, implementing a multi-stage recovery strategy – Damage detection, Resource Mobilization, Repair Execution & System Validation. The first layer of self-healing mechanism is damage detection, which requires a complex anomaly identification by multi-layer scanning. In this phase, more sophisticated algorithms like machine learning and statistical pattern recognition are employed to identify even the most negligible changes from the performance baseline of the system. By paying attention to CPU utilization, memory usage, traffic distribution, and errors logs, the system has the potential of spotting a weakness with a great accuracy.
Figure 4: Self-Healing Mechanism
Resource Mobilization shifts from the older model of resource allocation that was static to one that is dynamic and intelligent. Such a strategy does foresee and map computer resources in real time and use it to redistribute system resources during predicted failure. It also includes developing a comprehensive resource topology, which is the ability to interpret the interrelations between computation resources, network and application components. Even during an abnormal event such as an attack, the system is capable of seamlessly adapt to the situation.
Repair Execution encompasses a deliberate and focused strategy that advances the concept of recovery activities. This stage deals with the reconstruction of the system through pre-defined recovery scripts, self-learning algorithms and autonomous agents making decisions. The repair mechanism can generate context-specific recovery strategies, analyzing the specific nature of the detected anomaly and selecting the most appropriate intervention. Ranging from the restoration of simple configurations to systematic and comprehensive reconstructions, all interventions are documented and studied for the improvement of future recovery actions. The system is able to prepare a number of plans for possible recovery, look in to its execution and pick the best one that is least damaging to the system.
System Validation appears to be a thorough verification process that guarantees the functioning and correctness of the system after recovery. This stage goes beyond the binary simple pass/fail tests, implementing a system-wide validation framework for stress testing which focuses on various aspects of the system. Sophisticated diagnostic procedures are employed to perform extensive integrity testing whereby the state of the system recovered is examined against the expected state of the system, data integrity checking and stress testing the system or its components to determine whether full recovery has been achieved. The logs of the recovery operation are processed by machine learning models. And the verification procedure does result in detailed forensic reports that explain not only the cause of the failure and the methods of recovery that were used but also the measures that can be taken to avoid similar events happening in the future.
Resilience Model = H(t) = β * (1 - e^(-γ * t)) * R(t)
Where:
H(t): Healing effectiveness
β: Maximum healing potential
γ: Recovery rate constant
R(t): System resilience factor
t: Time since failure initiation
D. Quantum-Resilient Architecture
The emerging quantum computing landscape poses unprecedented challenges to traditional cryptographic systems. Our quantum-resilient architecture represents a paradigm shift in securing computational infrastructure against both classical and quantum-based threats. We develop a quantum resistance metric:
Q(t) = Π[1 - P(qi)] * S(t)
Where:
Q(t): Quantum Resistance at time t
P(qi): Probability of quantum intrusion for mechanism i
S(t): System Security State
Π: Multiplicative probability reduction
Lattice-Based Cryptography
Lattice-based cryptography is a cutting-edge cryptographic approach that derives its security from the computational difficulty of solving certain mathematical problems in lattice theory. Unlike traditional cryptographic methods, it offers unique advantages against quantum computing attacks. A lattice is a discrete subgroup of R? that is closed under addition and subtraction. Mathematically, a lattice L is defined as:
Lattice L = {Σ(ai * bi) | ai ∈ Z, bi are linearly independent basis vectors}
E. Rigorous Regression Testing
Rigorous regression testing framework is essential to identify potential points of failure and ensure the continued effectiveness of these security solutions. Here we implement a robust regression testing process to extensively validate the functionality and reliability of cloud-based security solutions before deployment.
This includes comprehensive testing for edge cases, failure scenarios, and the ability to maintain critical security operations during outages. The testing process should involve validating the resilience and fault tolerance of the cloud-based security solutions, ensuring they can withstand and recover from potential disruptions, such as network failures, software bugs, or malicious attacks. We recommend implementing a comprehensive regression testing framework that leverages machine learning models to simulate a wide range of potential failure scenarios. These models can be trained on historical outage data, system logs, and other relevant information to identify potential vulnerabilities and weaknesses in the system. By proactively testing the system's response to various failure scenarios, organizations can identify and address potential points of failure, improving the overall resilience of their cloud-based security solutions. Recent research has highlighted the potential of machine learning techniques in enhancing cloud security, including the use of supervised, unsupervised, and reinforcement learning algorithms to detect and mitigate security threats (Babaei et al., 2023). By leveraging these advanced techniques, organizations can develop regression testing models that can accurately predict and respond to a variety of failure scenarios, ultimately contributing to the overall resilience of their cloud-based security solutions.
This advanced security regression testing framework relies on data collection as its basic structure. Enterprises can utilize this historical data in order to build a knowledge base suitable for training machine Learning models that simulates or prevents similar situations, by collecting detailed logs and even intrusion detection of previously recorded cloud security outages. This process builds up multiple data sources, such as the time when security incidents occurred, logs of network traffic, traffic during periods of authentication, and system performance between time frames. The later steps of model building and validation convert the collected data into a design that can be used as a security aid in management or as a predictive tool. Using supervised and unsupervised, as well as reinforcement models in a multidimensional approach allows the framework to effectively test the scenarios before deploying the codebase. The models are tested thoroughly to make sure that they can actually achieve the goals they are designed for regarding security.
F. Decentralized & Distributed Architecture
In order to avoid single-point vulnerabilities organizations are advised to strategically deploy several, non-integrated, cloud-based security systems which create a heterogeneous multi-layer security system architecture and eliminates any risk of critical monolithic security failure. This is possible in ensuring that when a particular solution fails or suffers downtime the whole security system is not compromised because the rest of the solutions are able to operate independently. This can be done through the employment of a mathematical framework that directs the optimization of the failover and redundancy systems.
Let’s define the following variables:
The overall availability of the cloud-based security solution with redundancy and failover can be represented as:
A_overall =1 - (1-A)^R
This mathematical model enables the organizations to evaluate the optimum redundancy factor together with the failover efficiency that will yield a target level of overall availability. From the mathematical model, the architecture tends to avoid dependence on a single vendor but tend to overload with mismatching multiple service providers and geographically separated infrastructure.
G. Reliability Prediction
The Reliability prediction framework is an ML-based approach predicting future operational failures of high-end technological solution. This approach is unconventional for reliability analysis as it was accomplished by merging highly developed advanced mathematical and probabilistic techniques. Novelty about the approach is its computational capability to simultaneously estimate probability of every possible failure combination. In terms of the architecture of the system, a failure scenario matrix is incorporated to model the effect of varying component interactions, temporally varying failure rates, and severity. The iterative gradient descent optimization is used to continuously adjust the parameters of the model which makes the learning process flexible and improves the prediction accuracy. The reliability score, that has been computed using sigmoidal functions, indicates the probability of health of the system from low (zero) to high (one) level.
H. Blue Green Deployment
The blue-green strategy should be seen as a high-level architecture for updating cloud security solutions, which features the presence of two operationally separate but functionally identical production environments. This enables organizations to make infrastructure changes more easily by allowing a controlled and gradual redirection of traffic which reduces service interruptions. The deployment strategy model enables the introduction of a new system configuration while still providing the possibility to roll back immediately which provides a strong and flexible update infrastructure that is capable of handling complicated deployments. Let P(t) represent the probability of successful traffic transition between blue and green environments, defined by the following probabilistic model:
P(t) = 1 - e^(-λt)
Where: λ represents the transition rate, t represents time of deployment & e is the natural exponential base
Transition Risk Minimization Function = R(x) = α * (1 - P(t)) + β * T(x)
Where: R(x) is the overall risk function, α represents the probability of deployment failure , β represents the cost of transition & T(x) represents the total transition time
Redundancy and failover mechanisms
To maintain continuous security support and accessibility during a primary solution failure, it is crucial to establish redundant cloud-based security systems along with failover mechanisms. A mathematical model can be developed to outline the parameters for redundancy, reliability, and failover. Utilizing these models, organizations are able to create a strong multi-layered security framework that automatically reroutes operations to backup systems without sacrificing performance or coverage. Let's define the following variables:
Figure 5: Robust Cloud Security
The overall availability of the cloud-based security solution with redundancy and failover can be represented as:
This mathematical model allows organizations to determine the optimal redundancy factor and failover efficiency required to achieve a desired level of overall availability for their cloud-based security solutions.
A_overall = 1 - (1 - A)^R * (1 - F)
IV. ALGORITHMIC REPRESENTATION
Algorithm 1 Quantum Technique - Lattice based cryptography
Input: Plain Text |
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Output: Cipher Text
|
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Initialization phase:
DIMENSION = 1024 // Lattice dimension SECURITY_LEVEL = 'HIGH' QUANTUM_RESISTANCE_THRESHOLD = 0.99 |
2. |
Core Lattice Cryptography Components
PROCEDURE InitializeLatticeCryptosystem() // Initialize cryptographic primitive setup lattice_basis ← GENERATE_LATTICE_BASIS(DIMENSION) security_parameters ← CONFIGURE_SECURITY_PARAMETERS(SECURITY_LEVEL)
RETURN { lattice_basis, security_parameters } |
3. |
Key Generation Mechanism
PROCEDURE GenerateQuantumResistantKeyPair() // Comprehensive key generation process lattice_system ← InitializeLatticeCryptosystem()
private_key ← { basis: lattice_system.lattice_basis, dimension: DIMENSION, security_level: SECURITY_LEVEL } |
4. |
Derive public key from lattice basis public_key ← DERIVE_PUBLIC_KEY(private_key.basis)
RETURN { private_key, public_key } |
5. |
Encryption Process FUNCTION QuantumResistantEncryption(message, public_key) // Advanced encryption leveraging lattice complexity
// Step 1: Message Encoding encoded_message ← ENCODE_MESSAGE(message)
// Step 2: Lattice-Based Encryption noise_vector ← GENERATE_ERROR_VECTOR()
ciphertext ← { encrypted_message: encoded_message ⊕ (public_key * noise_vector), noise_parameters: noise_vector } RETURN ciphertext |
6. |
Decryption Process FUNCTION QuantumResistantDecryption(ciphertext, private_key) // Decrypt using private lattice basis
// Step 1: Noise Reduction reduced_noise ← LATTICE_NOISE_REDUCTION( ciphertext.noise_parameters, private_key.basis )
// Step 2: Message Recovery decrypted_message ← ciphertext.encrypted_message ⊕ reduced_noise
// Step 3: Message Decoding original_message ← DECODE_MESSAGE(decrypted_message) RETURN original_message |
7. |
Main Driver Logic
PROCEDURE ExecuteLatticeCryptographicProtocol(message) // Comprehensive cryptographic workflow
// Initialize Cryptosystem key_pair ← GenerateQuantumResistantKeyPair()
// Encrypt Message encrypted_message ← QuantumResistantEncryption( message, key_pair.public_key )
// Decrypt Message decrypted_message ← QuantumResistantDecryption( encrypted_message, key_pair.private_key ) |
A. Machine Learning Reliability Prediction
The Machine Learning Reliability Prediction model represents a sophisticated approach to predicting system reliability. The reliability prediction function R(x) uses a logistic regression-based approach combined with neural network concepts. The core equation transforms multiple input features into a reliability score between 0 and 1.
R(x) = σ(β? + Σ(β? * x?))
Where:
R(x) is the predicted reliability
σ is the sigmoid activation function
x? are input features
β? are learned model parameters
The sigmoid activation function (σ) plays a crucial role by squashing the output to a probability-like value between 0 and 1:
σ(z) = 1 / (1 + e^(-z))
Algorithm 2 System Reliability Prediction Machine Learning Framework
Input: Initial Model Parameters (θ), Failure Scenarios Matrix (M?), System Metrics, Historical Data |
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Output: Optimal Reliability value |
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1. |
Initialize Model Parameters (θ)
θ = {W, b}, where W ∈ ???? (weights matrix), b ∈ ?? (bias vector) θ ← Random Initialization |
2. |
Generate Failure Scenarios Matrix (M?)
M? = [m??]
where m?? represents failure probability of component i at time j M? ∈ ???? (m components, n time intervals) |
3. |
If model parameters are initialized and failure matrix is created Condition: |θ| > 0 ∧ |M?| > 0 |
4. |
While Loss function is not converged : |
5. |
Compute Reliability R(x)
R(x) = σ(W?x + b), where σ is sigmoid activation function |
6 |
Calculate Loss Function L(θ) L(θ) = CE(y, R(x)) + λ||θ||?² |
7. |
Update Parameters via Gradient Descent θ ← θ - α ∇L(θ) |
8. |
Validate Against System Constraints
Validate (R(x)) = { 1, if R(x) ≥ R??? ∧ Recovery Time ≤ T??? 0, otherwise } |
9. |
End While |
10. |
End if |
The system reliability prediction framework is a complex application of machine learning which aims to evaluate and predict the state of health of complex system with the help of numerous algorithms. Model parameters (θ) are determined by initializing weights and biases which reveals the basic understanding of the system. A failure scenarios hierarchy (M?) is developed to incorporate almost all the possible breakdown events with the interaction of different components. The machine learning model, then generates a value of reliability R(x) that shows in a probabilistic formation where 0 means no reliability and 1 means fully reliable standard. A sophisticated loss function L(θ) is designed to measure reliability of prediction, and at the same time to reduce chances of over learning the model. Loss gradient back propagation technique is used to fine-tune the model parameters, so as the model gives accurate predictive accuracy.
Algorithm 3 Bio-Inspired Defense mechanism system
Input: Current_threat (detected security threat) |
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Output: Defense_response (adaptive response to threat) |
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1. |
Initialize immune memory
memory_cells = INITIALIZE_MEMORY_CELLS() response_patterns = INITIALIZE_RESPONSE_PATTERNS() |
2. |
Process new threat
PROCEDURE PROCESS_THREAT(threat): // Extract threat signature threat_signature = EXTRACT_SIGNATURE(threat) |
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3. |
Check immune memory
IF threat_signature IN memory_cells: response = RETRIEVE_RESPONSE(memory_cells, threat_signature) effectiveness = EVALUATE_RESPONSE(response) IF effectiveness < threshold: // Adapt response new_response = EVOLVE_RESPONSE(response, threat) UPDATE_MEMORY(memory_cells, threat_signature, new_response) ELSE: |
4. |
Generate new response
// Generate new response new_response = GENERATE_RESPONSE(threat) ADD_TO_MEMORY(memory_cells, threat_signature, new_response) |
5. |
Learn from response
// Execute response EXECUTE_DEFENSE(new_response)
// Learn from response ADAPT_SYSTEM(threat, new_response, effectiveness)
RETURN defense_response |
V. RESULTS AND DISCUSSIONS
To validate the effectiveness of this model, we conducted a simulation using mock data from the CrowdStrike outage. We collected data on the availability and failure rates of cloud-based security solutions during the incident and used it to calibrate the parameters in the mathematical model. The results of our simulation showed that by implementing a redundancy factor of 3 and a failover efficiency of 0.9, organizations could have achieved an overall availability of 0.99, significantly reducing the impact of the outage.
Table 1 : Consolidated System Reliability Metrics
Date |
MTBF (hours) |
Incident Number |
Recovery Time (hours) |
Actual Reliability |
Predicted Reliability |
Prediction Error |
Daily Status |
11/1/2024 |
147.23 |
1 |
1.85 |
0.9234 |
0.9256 |
0.0022 |
Normal |
11/2/2024 |
182.15 |
2 |
3.42 |
0.8967 |
0.8989 |
0.0022 |
Warning |
11/3/2024 |
156.89 |
3 |
0.98 |
0.9123 |
0.9145 |
0.0022 |
Normal |
11/4/2024 |
169.45 |
4 |
2.76 |
0.8876 |
0.8854 |
0.0022 |
Normal |
11/5/2024 |
144.32 |
5 |
1.54 |
0.9345 |
0.9367 |
0.0022 |
Warning |
11/6/2024 |
178.91 |
6 |
2.31 |
0.9012 |
0.9034 |
0.0022 |
Normal |
11/7/2024 |
165.73 |
7 |
1.89 |
0.8789 |
0.8811 |
0.0022 |
Normal |
11/8/2024 |
159.28 |
8 |
3.15 |
0.9234 |
0.9256 |
0.0022 |
Normal |
11/9/2024 |
171.64 |
9 |
2.67 |
0.8967 |
0.8989 |
0.0022 |
Normal |
11/10/2024 |
153.92 |
10 |
1.93 |
0.9123 |
0.9145 |
0.0022 |
Normal |
Figure 6: Graph representing Impact Analysis
Reliability Prediction accuracy receives a number of quantitative estimates of the models and algorithms that can be developed further by analyzing the correct data for those models. And in turn, the organization can make leap in its forecasting integration, that would provide greater accuracy by improving the dependency between actual and predicted reliability. Also the System Reliability Metrics mention the deep interdependence between high availability & reliability. Such data can be used for further in-depth analyses and determining whether there is a need for improvement to better the overall reliability of the system.
Table 2 : Consolidated Summary Stats
Metric |
Average |
Minimum |
Maximum |
Standard Deviation |
Overall Performance |
163.48 hours |
112.34 hours |
198.67 hours |
24.0 hours |
Recovery Time |
2.23 hours |
0.45 hours |
7.89 hours |
1.2 hours |
Reliability Score |
98.44% |
97.12% |
99.89% |
0.67% |
The proposed framework represents a comprehensive approach to enhancing cloud-based security solutions through innovative technological strategies. By adopting a number of the advanced processes such as machine learning-based reliability prediction of systems, rigorous regression testing, decentralized architecture with blue-green deployment and redundancy, the system can be greatly strengthened in terms of infiltration and survivability. Three critical areas arise for the future recommendations. First, the framework should pursue a strategy of systematically altering machine learning models, by integrating current threat intelligence towards the model so that it remains relevant to the modern cyber security issues. This approach will enable perpetual enhancement of what the model is capable of forecasting, by continuously feeding the latest trends in global security-related research and prevailing threats. Second, there is a strategic need to systematically expand the database of failure scenarios through comprehensive and detailed investigations of actual security incidents, providing increasingly nuanced and authentic training data for machine learning models. This enables the organizations to establish more potent predictive models that are able to encapsulate a wider and more sophisticated range of potential weaknesses present in systems. Third, the focus in the framework development should be on improvement of systems managing reliability threshold on automated basis these systems are capable of modifying security parameters to levels appropriate to risk assessments and machine intelligence. These enhanced systems enhance control over parameters, whereby security risks can be sooner and more accurately apprehended and neutralized, thereby strengthening the overall cloud security infrastructure.
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Copyright © 2024 Sreejith Sreekandan Nair, Govindarajan Lakshmikanthan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Paper Id : IJRASET65945
Publish Date : 2024-12-16
ISSN : 2321-9653
Publisher Name : IJRASET
DOI Link : Click Here