In the present paper, an approach is proposed for structural topology optimization based on combination of Radial Basis Function (RBF) Level Set Method (LSM) with Isogeometric Analysis (IGA). The corresponding combined algorithm is detailed. First, in this approach, the discrete problem is formulated in Isogeometric Analysis framework. The objective function based on compliance of particular lo...

In layered networks, a single failure at a lower layer may cause multiple failures in the upper layers. As a result, traditional schemes that protect against single failures may not be effective in cross-layer networks. A cross layer network with logical and physical topologies, the survivable logical topology routing problem is to route each link in the logical layer with a path in the physica...

Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completel...

We investigate the problem of topology design of an optical network by bottleneck-cut identification. For an optical network, the topology-design problem can be viewed as a combined two-layer design problem: physical-topology design and virtual-topology design. In this study, we present the definition of bottleneck cut of an optical network. A heuristic algorithm is proposed to find the bottlen...

in this paper‎, ‎we introduce a new model of point free topology‎ ‎for point-set topology‎. ‎we study the basic concepts in this‎ ‎structure and will find that it is naturally close to point-set‎ ‎topology‎.‎

Service physical topology design in large data centers is a function of many cross-cutting concerns such as service connectivity, performance, and security requirements, as well as data center resources, policies and best practices. These interdependencies represent a significant source of complexity, cost, and risk in data center management. This paper proposes a novel model-based approach to ...

this paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. it incorporates the most important settings of lattice-valued topology, including poslat topology of s.~e.~rodabaugh, $(l,m)$-fuzzy topology of t.~kubiak and a.~v{s}ostak, and $m$-fuzzy topology on $l$-fuzzy sets of c.~guido. moreover, its respe...

In current studies of the physical properties of networks, little attention is paid to the impact of the dynamics of the nodes on the topology of the network. Here a framework is discussed to produce chemical reaction networks. This framework simultaneously generates realistic chemical networks and simulates the underlying chemical kinetics. Networks are investigated in the context of interstel...