Centre for Modeling & Simulation
Savitribai Phule Pune University

Technical Report CMS-TR-20201208


Title Resource dependency and survivability in complex networks
Author/s Madhusudan Ingale
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India
Snehal M. Shekatkar
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India
Abstract Components in many real-world complex systems depend on each other for the resources required for survival and may die of a shortage. These patterns of dependencies often take the form of a complex network whose structure potentially affects how the resources produced in the system are efficiently shared among its components, which in turn decides a network's survivability. Here we present a simple threshold model that provides insight into this relationship between the network structure and survivability. We show that, as a combined effect of local sharing and finite lifetime of resources, many components in a complex system may die of lack of resources even when a sufficient amount is available in the system. We also obtain a surprising result that although the scale-free networks exhibit a significantly higher survivability compared to their homogeneous counterparts, a vertex in the latter survives longer on average. Finally, we demonstrate that the system's survivability can be substantially improved by changing the way vertices distribute resources among the neighbors. Our work is a step towards understanding the relationship between intricate resource dependencies present in many real-world complex systems and their survivability.
Keywords Complex networks, Resource dependency, Percolation
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Citing This Document Madhusudan Ingale, Snehal M. Shekatkar, Resource dependency and survivability in complex networks. Technical Report CMS-TR-20201208 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2020); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc.
Contact snehal@scms.unipune.ac.in
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