Int J Performability Eng ›› 2021, Vol. 17 ›› Issue (2): 191-199.doi: 10.23940/ijpe.21.02.p3.191199

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Optimization of Safety Instrumented System Configuration based on Simplex Algorithm

Fatma Zohra Labadliaa, *, Elias Hadjadj Aoula, Brahim Hamaidia, and Mohammed Bougofab   

  1. aElectromechanical Engineering laboratory, Faculty of Engineering Sciences University of Badji Mokhtar, Annaba, 23000, Algeria; bTransport Engineering and Environment Laboratory, Frères Mentouri Constantine 1 University, Constantine, 25000, Algeria;
  • Contact: * Corresponding author. E-mail address:

Abstract: The probability of failure on demand or per hour (PFD or PFH) of safety instrumented systems (SIS) depends on the configuration of its subsystems due to different devices' characteristics. Minimizing the probability of failure results in a high level of optimum safety integrity. This paper presents an approach whose objective is to determine an SIS architecture using the Simplex method based on PFH, failure rate, required safety integrity level (SIL) and the cost associated to the various prevention devices. A case study (tandem Arcelor Mittal in Algeria) is proposed to validate the model.

Key words: safety instrumented system, architecture, probability of failure, optimization