Article: A copula-based analysis for examining and enhancing performance of serial system Journal: International Journal of Process Management and Benchmarking (IJPMB) 2025 Vol.19 No.1 pp.108 - 130 Abstract: This study investigates the performance of a serial system consisting of five dissimilar subsystems A, B, C, D and E employing Copula's attributes for estimation. Subsystem A has six units working as 4-out-of-6, subsystems B, C and E possess each has one unit while subsystem D has three units working in active parallel. The system experiences partial and complete malfunction during operation: partial malfunction leads the system into reduced capacity mode, and a complete malfunction resulting in system failure. The research employs the technique of supplementary variable and transforms of Laplace to establish and solve the governing differential equations corresponding to schematic system's diagram. Performance models for the system such as profit, MTTF, availability, sensitivity of MTTF and reliability are numerically validated and presented through tables and graphs. The research findings are highly valuable for evaluating performance, identifying ideal system designs, and developing workable maintenance plans. The research contributes to enhancing system performance, increasing production output, and improving revenue mobilisation in various application domains. Inderscience Publishers - linking academia, business and industry through research

Title: A copula-based analysis for examining and enhancing performance of serial system

Authors: Ibrahim Yusuf; Ramatu Idris Gatawa; Mansur Hassan; Muhammad Salihu Isa

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria ' Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria ' Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria; School of Mathematics and Statistics, Central South University, Changsha, China

Abstract: This study investigates the performance of a serial system consisting of five dissimilar subsystems A, B, C, D and E employing Copula's attributes for estimation. Subsystem A has six units working as 4-out-of-6, subsystems B, C and E possess each has one unit while subsystem D has three units working in active parallel. The system experiences partial and complete malfunction during operation: partial malfunction leads the system into reduced capacity mode, and a complete malfunction resulting in system failure. The research employs the technique of supplementary variable and transforms of Laplace to establish and solve the governing differential equations corresponding to schematic system's diagram. Performance models for the system such as profit, MTTF, availability, sensitivity of MTTF and reliability are numerically validated and presented through tables and graphs. The research findings are highly valuable for evaluating performance, identifying ideal system designs, and developing workable maintenance plans. The research contributes to enhancing system performance, increasing production output, and improving revenue mobilisation in various application domains.

Keywords: performance; profit; reliability; mean time to failure; MTTF; availability.

DOI: 10.1504/IJPMB.2025.143591

International Journal of Process Management and Benchmarking, 2025 Vol.19 No.1, pp.108 - 130

Received: 19 Sep 2023
Accepted: 23 Sep 2023
Published online: 02 Jan 2025 *

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Title: A copula-based analysis for examining and enhancing performance of serial system

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