Defense resource distribution between protection and redundancy for constant resource stockpiling pace

Area of Science:

• Operations Research
• System Security
• Risk Management

Background:

• Resource allocation in parallel systems under adversarial conditions is critical.
• Attacker and defender resource stockpiling with constant increment rates pose dynamic challenges.
• System performance must be maintained within a defined time horizon with uniform attack probability.

Purpose of the Study:

• To determine the optimal resource distribution for system protection and redundancy.
• To minimize the probability of system destruction over a given time horizon.
• To analyze the impact of construction timing for new redundant elements.

Main Methods:

• Mathematical modeling of resource allocation and system vulnerability.
• Optimization techniques to find the best balance between protection and redundancy.
• Analysis of time delays in construction initiation to mitigate initial vulnerability.

Main Results:

• Starting new element construction immediately increases initial system vulnerability.
• Introducing a time delay before construction significantly reduces vulnerability and destruction probability.
• Optimal strategies consider both time delay and construction pace, with and without initial vulnerability constraints.

Conclusions:

• Delaying the initiation of redundant element construction is a key strategy for enhancing system resilience.
• Resource management in adversarial environments requires careful timing of defensive measures.
• The findings provide a methodology for analyzing optimal defense strategies in dynamic resource competition scenarios.