Introducing probabilistic models for redundant system reliability

Journal Title: Operations Research and Decisions - Year 2016, Vol 26, Issue 1

Abstract

Probabilistic models have been developed to evaluate the relationship between reliability measures and the performance of a repairable network with built in redundancy. Networks with built in redun-dancy have been considered and explicit expressions have been derived for three characteristics related to such systems including steady-state availability, period of repair, and a profit function. Various graphs have been plotted to discover the impact of availability and mean time to system failure on net profit, as well as the impact of the failure and service rate on the steady-state availability, net profit and mean time to system failure. The system was analysed using first order linear differential equations.

Authors and Affiliations

Mansur BABAGANA, Bello GIMBA, Ibrahim YUSUF

Keywords

Related Articles

An approximation algorithm for multi-unit auctions: numerical and subject experiments

In multi-unit auctions for a single item, the Vickrey–Clarke–Groves mechanism (VCG) attains allocative efficiency but suffers from its computational complexity. Takahashi and Shigeno thus proposed a greedy based approxim...

Modelling the steady state of sewage networks as a support tool for their planning and analysis

Fundamental questions connected with the modelling of communal sewage networks have been considered and formulas used to model the functioning of the basic network have been analyzed. The problem described concerns gravi...

Data Envelopment Analysis as an instrument for measuring the efficiency of courts

The paper addresses the problem of measuring the efficiency of civil jurisdiction courts. Non-parametric data envelopment analysis (DEA) has been proposed as a measurement instrument. Hearing (settling) a case within a r...

Ruin probability of a discrete-time risk process with proportional reinsurance and investment for exponential and Pareto distributions

The paper focuses on a quantitative analysis of the probability of ruin in a finite time for a discrete risk process with proportional reinsurance and investment of the financial surplus. It is assumed that the total los...

On the right approach to selecting a quality improvement project in manufacturing industries

Continuous improvement is the core of any successful firm. Talking about manufacturing industries, there is huge potential for continuous improvement to be made in various work areas. Such improvement can be made in any...

Download PDF file
  • EP ID EP323612
  • DOI -
  • Views 31
  • Downloads 0

How To Cite

Mansur BABAGANA, Bello GIMBA, Ibrahim YUSUF (2016). Introducing probabilistic models for redundant system reliability. Operations Research and Decisions, 26(1), 5-18. https://europub.co.uk/articles/-A-323612