Optimum Redundancy w hen Components are Subject to Two Kinds of Failure

Modeling and Verification of a Reliable Multi-Agent Solution Promoting the Autonomy and Self-Sufficiency of Microgrids in an Isolated Location

“…The hybridization of the different deployed sources is considered as a new topology to control and supervise the operations of energy generation systems for certain researchers too [40]. The research in [51], [46] proposes that to maintain continuity of power supply in the grid, it is necessary to coordinate the load's behavior with the availability of energy in real-time, counting both on the stochastic fluctuation of the energy flow and the active demands of loads.…”

On a class of multiple failure mode systems

“…A special case where one can avoid using formula (6) is when there exist no system configurations leading to simultaneous failures in more than one failure modes (see, e.g., Satoh, Sasaki, Yuge and Yanasi [23] or Barlow, Hunter and Proschan [4] for a specific system of this type). Such a condition guarantees that the events [φ s (X s· ) = 0], [φ s 0 (X s 0 · ) = 0], s 6 = s 0 are disjoint, and exploiting formulae (5), (6) we may write…”

“…For systems experiencing two different kinds of failure, the most popular nomenclature in use seems to be three-state devices or dual failure mode (DFM ) systems. Specific structures of this type have been studied among others by Barlow, Hunter and Proschan [4], Ben-Dov [5], Misra [19], Satoh, Sasaki, Yuge and Yanasi [23] and Koutras [16].…”

“…The name we shall be using for such structures is multiple failure mode (MFM ) systems so as to distinguish them from the multistate systems mentioned earlier. The DFM systems studied by Barlow, Hunter and Proschan [4], Ben-Dov [5] etc. are special cases of MFM systems with m = 2.…”

Ακριβείς Και Προσεγγιστικές Μέθοδοι Για Τη Μελέτη Συστημάτων Αξιοπιστίας Και Προβλημάτων Ελέγχου Ποιότητας

“…The new results established in this study, concern the approximation or the exact evaluation of the distribution, of the aforementioned random variables; also, several applications of the theoretical results in various fields are presented. The main tools exploited in this study are fetched from the theory of stochastic ordering, Ø ÒÓÑ Poisson º º º º º º º º º º º º º º º º º º º º º º º ½ ½ º¾º½ Ö Ñ Ø ÔÓØ Ð ×Ñ Ø Ø Ò ÔÖÓ× × ¸Ñ ×Û Ø ÒÓÑ Poisson º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º ½ (1 − p)/2 º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º º ¾ ½º º¾ Ô (1955), Champ and Woodall (1987), Klein (2000), Koutras et al (2006), Rakitzis (2008) Hahn and Gage (1983), Viveros and Balakrishnan (1993), Koutras and Balakrishnan (1999)µ¸ØÛÒ Ð ÕÛÒ ØÙÕ Ø Ø ´randomness test, Gibbons and Chakraborti (1992), Agin and Godbole (1992), Lou (1997), Koutras and Alexandrou (1997) Barbour et al (1992), Barbour and Chryssaphinou (2001) Embrechts et al (1997), Reiss and Thomas (1997)µ¸ Ñ Ó Ó Ø Ñ Ø Ù× ØºÑº × Å Ö Ó Ò ÐÙ× ´Fu and Koutras (1994), Koutras and Alexandrou (1995), Fu and Lou (2003), Barlow et al (1963), Ben-Dov (1980), Satoh et al (1993), Koutras (1997)B outsikas and Koutras (2002a) Barlow and Proschan (1981) Barlow et al (1963), Ben-Dov (1980), Satoh et al (1993), Koutras (1997) Boutsikas and Koutras (2002a) Moore and Shannon (1956), Barlow and Hunter (1960a,b), Barlow et al (1963), Ben-Dov (1980), Page and Perry (1988), …”