On System Reliability of Increasing multi-state linear k-within-(m,s)-of-(m,n):F lattice system

Abstract

A “multi-state linear k-within-(m,s)-of-(m,n):F lattice system” (MS L(k,m,s,n:F)) comprises of m×n components, which are ordered in m rows and n columns. The state of system and components may be one of the following states: 0, 1, 2, …, H. The state of MS L(k,m,s,n:F) is less than j whenever there is at least one sub-matrix of the size m×s which contains kl or more components that are in state less than l for all j ≤ l ≤ H. This system is a model for many applications, for example, tele communication, radar detection, oil pipeline, mobile communications, inspection procedures and series of microwave towers systems. In this paper, we propose new bounds of increasing MS L(k,m,s,n:F) reliability using second and third orders of Boole-Bonferroni bounds with i.i.d components. The new bounds are examined by previously published numerical examples for some special cases of increasing MS L(k,m,s,n:F). Also, illustration examples of modelling the system and numerical examples of new bounds are presented. Further, comparisons between the results of second and third orders of Boole-Bonferroni bounds are given.

Synthesis and biological evaluation of 2‐acylbenzofuranes as novel α‐glucosidase inhibitors with hypoglycemic activity

“…Compound 6c inhibits α-glucosidase in vitro with IC 50 of 6.50 μm and exceeds hypoglycemic activity of acarbose in streptozotocin-induced diabetic rats. Recently, structurally related 2-arylbenzo[b]furans [39] and oxadiazolesubstituted benzofurans [40] have been reported as potent inhibitors of α-glucosidase. However, animal studies were not reported to support these findings.…”

Reliability evaluation for vhf and uhf bands under different scenarios via propagation loss model

“…Levitin modeled the LCCS considering the nodes allocation such as service nodes [16], series parallel nodes [14] and standby nodes [15]. Other researchers also studied the radio communication LCCS optimization methods by considering different situations, such as random repair time as well as different repair polices [42], multistate components [44] and topological structures [39].…”