MUMBAI, India, Aug. 17 -- Intellectual Property India has published a patent application (202641085984 A) filed by Hemalatha G; and Dr. G. Vijayalakshmi on July 14, 2026, for Performance Analysis Of A Surveillance System Using Sumudu Transform..
Inventors include Hemalatha G; and Dr. G. Vijayalakshmi.
The application for the patent was published on August 14, 2026, under issue no. 33/2026.
Abstract: This invention pertains to a method and system designed to assess the availability, reliability. Mean Time to Failure (MTTF) and anticipated profit of a surveillance system, which is modeled as a multi-state linear consecutive 3-out-of-5: G system. The surveillance units are represented as multi-state components that can be fully operational, progressively degraded, or failed, including failures owing to a common-cause event impacting several units simultaneously. The stochastic behavior of the system was characterized using a Markov process, which incorporates the Supplementary Variable Technique to consider the time elapsed during repairs. By employing the Sumudu transform and its inverse on the state transition differential equations, both the transient and steady-state probability distributions of the system are derived. The repair process is modeled using a Gumbel-Hougaard copula function to reflect the interdependence of repair rates among multiple failed components, offering a more accurate depiction of system restoration behavior than traditional independent-repair models. The Mean Time to Failure of the system was calculated by integrating the reliability function over the operational time domain. Additionally, the invention includes an evaluation of the expected profit, where a reliability- weighted revenue term accumulated over time is balanced against a time-proportional operating cost term to assess the system's net economic performance. This methodology offers a comprehensive analytical framework applicable to linear consecutive kout- of-n: G surveillance setups, such as a 3-out-of-5 camera-based configuration, enhancing the precision of evaluating the availability, reliability, MTTF and cost performance of surveillance systems under stochastic failure and dependent repair conditions.ted profi
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