Signature of bridge structure using universal generating function


The present paper deals with real-life bridge structure and evaluates the reliability function with the help of the universal generating function technique where the components of the system have different performance states. The bridge system (complex) is known as the combination of series and the parallel system where the system cannot be simplified into pure series or pure parallel structure. Universal generating function technique can find the performance of the system as a whole depends upon the overall performance of the components where these components are independent and identically distributed. Also, expected time Barlow–Proschan index, tail signature and signature of the proposed complex system using Owen’s and Boland methods have been calculated.

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Fig. 1



Universal generating function


Expected lifetime and expected X

R :

Reliability of the system

P :

Probability of the system

q :


\( \phi (k) \) :

Structure function of kth components

w/W :

Signature and tail signature of the proposed system

S :

Number of components of the system

\( e_{i} \) :

Minimal signature of i components

\( I_{BP} \) :

Barlow–Proschan index of the system


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Correspondence to Mangey Ram.

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Kumar, A., Tyagi, S. & Ram, M. Signature of bridge structure using universal generating function. Int J Syst Assur Eng Manag (2020).

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  • Signature
  • Tail signature
  • Universal generating function
  • Bridge structure
  • Independent identically distributed