Title: Min-path based PTM approach to system reliability: failure rate analysis and MTTF

Authors: Sadiya Naaz; Mangey Ram; Akshay Kumar

Addresses: Department of Mathematics, Graphic Era Deemed to be University, Dehradun, India; Department of Mathematics, Uttaranchal University, Dehradun, India ' Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun, India ' Department of Mathematics, Graphic Era Hill University, Dehradun, India

Abstract: Prioritising reliability in the planning, installing, and upkeep of traffic signal management systems is crucial for traffic authorities and structure functions. The reliability of these networks can be increased, resulting in more effective and safer traffic control, by implementing sturdy technology, periodic repair procedures, redundancy initiatives, cybersecurity procedures, as well as successful surveillance. This study presents and modelled a traffic signal management system with the goal of assessing its reliability, when the travellers and arrivals are unpredictable. The system's primary functions are to optimise flows of traffic, increase safety, and reduce congestion at crossings, all of that contribute to increased effectiveness of the network. The failure rate study of the suggested traffic signal management System is established second. In order to investigate the reliability assessment, the extremely well-known matrix-based min-path path tracing method procedure is applied instead of u-function approach. Thirdly, the model's variation is shown using the exponential decay curve. In order to quantify the deterioration intensities or hazard rate of an entire system or component over a period of time, we lastly assess the breakdown intensity index for the proposed system. Finally, the recommended system's cumulative signature has been assessed.

Keywords: traffic signal management system; min-path based matrix methodology; path tracing method; MTTF; hazard intensity index.

DOI: 10.1504/IJESMS.2026.153735

International Journal of Engineering Systems Modelling and Simulation, 2026 Vol.17 No.3, pp.172 - 183

Received: 03 Apr 2024
Accepted: 14 Aug 2024
Published online: 22 May 2026 *

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