jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables‎. ‎in this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.

We present three algorithms for Cholesky factorization using minimum block storage for a distributed memory (DM) environment. One of the distributed square blocked packed (SBP) format algorithms performs similar to ScaLAPACK PDPOTRF, and with iteration overlapping outperforms it by as much as 67%. By storing the blocks in a standard contiguous way, we get better performing BLAS operations. Our ...

The use of planar polygonal partitioning schemes for planar embedding of tree structures is examined. Two layout designs based on recursive square and triangular decompositions are described for trees having branching factors of k 2 and k 2 1, where k is an integer. The former design allocates the same amount of area to nodes at all levels and requires a total area linear in the number N of nod...

In a recent paper, Lechner, Hauke, and Zoller (LHZ) described a means to translate a Hamiltonian of N spin-1/2 particles with "all-to-all" interactions into a larger physical lattice with only on-site energies and local parity constraints. LHZ used this mapping to propose a novel form of quantum annealing. We provide a stabilizer-based formulation within which we can describe both this prior ap...

This paper presents a GPU-accelerated implementation of two-dimensional Smart Laplacian smoothing. This implementation is developed under the guideline of our paradigm for accelerating Laplacianbased mesh smoothing [13]. Two types of commonly used data layouts, Array-of-Structures (AoS) and Structure-of-Arrays (SoA) are used to represent triangular meshes in our implementation. Two iteration fo...

For little q-Jacobi polynomials, q-Hahn polynomials and big q-Jacobi polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as decompositions into a lower triangular matrix times upper triangular matrix. We develop a general theory of such decompositions rela...

WSN are ad-hoc mobile networks in which sensors have limited resources and communication capabilities. These reasons poses lots of technical challenges on sensor deployment scheme because it affect the cost and detection capability. The objective of this paper is to deploy sensors (indoor environment) in sensing field to ensure both sensing coverage and network connectivity with a minimum cover...

This paper aims to analyze the spatial patterns characteristics of cultural resources within Yellow River National Cultural Park in China. Therefore, this plans use Arcgis-10.8 software describe and Geographic detector tools study influence physical geography social human factors on distribution pattern resources. The results indicate that: (1) show a that is dense east sparse west; (2) plannin...

This paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. By this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. This is resulted from dividing area into discrete and continuous dimensions. Also defining decision var...

This paper presents the development of an Intelligent Cavity Layout Design System (ICLDS) for multiple cavity injection moulds. The system is intended to assist mould designers in cavity layout design at concept design stage. The complexities and principles of cavity layout design as well as various dependencies in injection mould design are introduced. The knowledge in cavity layout design is ...