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Three reliability models of a building cable manufacturing plant: a comparative analysis

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Abstract

In this paper, comparative analysis between the profits of three reliability models of a building cable manufacturing plant is carried out. To facilitate the analysis, real maintenance data of the plant are collected. Three case specific reliability models of the plant are developed. Semi-Markov processes and regenerative point techniques are used to estimate optimized reliability indices of the plant; such as; mean time to plant failure, plant availability, expected number of plant repairs, expected busy period of the repairman and profit incurred to the plant. Comparison between the profits is demonstrated through graphical analysis.

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Abbreviations

pdf:

Probability density function

cdf:

Cumulative distribution function

mipm:

Minor preventive maintenance

mapm:

Major preventive maintenance

wrt:

With respect to

Si :

State i

λ A :

Estimated failure rate for subsystem-A

λ B :

Estimated failure rate for subsystem-B

λ C :

Estimated failure rate for subsystem-C

λ D :

Estimated failure rate for subsystem-D

λ E :

Estimated failure rate for subsystem-E

α A :

Estimated rate of requirement of mipm for subsystem-A

β A :

Estimated rate of requirement of mapm for subsystem-A

ν :

Estimated rate of cooling for subsystem-A

γ :

Estimated rate of transition from operating state to rest state

σ :

Estimated rate of transition from rest state to operating state

gA(t):

Pdf of repair times for subsystem-A

gB(t):

Pdf of repair times for subsystem-B

gC(t):

Pdf of repair times for subsystem-C

gD(t):

Pdf of repair times for subsystem-D

gE(t):

Pdf of repair times for subsystem-E

hA(t):

Pdf of mipm times for subsystem-A

fA(t):

Pdf of mapm times for subsystem-A

M0i :

Mean time to plant failure for Model-i

A0i :

Plant availability for Model-i

R0i :

Expected number of plant repairs for Model-i

B0i :

Expected busy period of the repairman for Model-i

P0i :

Profit incurred to the plant for Model-i

C0 :

Revenue per unit up time

C1 :

Cost per unit time for which the repairman is busy

C2 :

Cost per unit repair

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Authors and Affiliations

  1. Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Sultanate of Oman

    S. Z. Taj & S. M. Rizwan

  2. Department of Mechanical Engineering, Glasgow Caledonian University, Glasgow, Scotland, UK

    B. M. Alkali & D. K. Harrison

  3. Department of Mathematics, Maharshi Dayanand University, Rohtak, India

    G. Taneja

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  1. S. Z. Taj
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  2. S. M. Rizwan
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  3. B. M. Alkali
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  5. G. Taneja
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Correspondence to S. Z. Taj.

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Taj, S.Z., Rizwan, S.M., Alkali, B.M. et al. Three reliability models of a building cable manufacturing plant: a comparative analysis. Int J Syst Assur Eng Manag 11 (Suppl 2), 239–246 (2020). https://doi.org/10.1007/s13198-020-01012-8

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  • DOI: https://doi.org/10.1007/s13198-020-01012-8

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