• Journal of KIISE:Computer Systems and Theory
• /
• v.36 no.5
• /
• pp.335-343
• /
• 2009

The crossed cube has received great attention because it has equal or superior properties compared to the hypercube that is widely known as a versatile parallel processing system. It has been known that disjoint two copies of a mesh of size $4{\times}2^m$ or disjoint four copies of a mesh of size $8{\times}2^m$ can be embedded into a crossed cube with dilation 1 and expansion 1 [Dong, Yang, Zhao, and Tang, 2008]. However, it is not known that disjoint multiple copies of a mesh with more than eight rows and columns can be embedded into a crossed cube with dilation 1 and expansion 1. In this paper, we show that disjoint $2^{n-1}$ copies of a mesh of size $2^n{\times}2^m$ can be embedded into a crossed cube with dilation 1 and expansion 1 where $n{\geq}1$ and $m{\geq}3$. Our result is optimal in terms of dilation and expansion that are important measures of graph embedding. In addition, our result is practically usable in allocating multiple jobs of mesh structure on a parallel computer of crossed cube structure.

• The KIPS Transactions:PartA
• /
• v.16A no.4
• /
• pp.223-226
• /
• 2009

The twisted cube has received great attention as an interconnection network of parallel systems because it has several superior properties, especially in diameter, to the hypercube. It was recently known that, for even m, a mesh of size $2{\times}2^m$ can be embedded into a twisted cube with dilation 1 and expansion 1 and a mesh of size $4{\times}2^m$ with dilation 1 and expansion 2 [Lai and Tsai, 2008]. However, as we know, it has been a conjecture that a mesh with more than eight rows and columns can be embedded into a twisted cube with dilation 1. In this paper, we show that a mesh of size $2^n{\times}2^m$ can be embedded into a twisted cube with dilation 1 and expansion $2^{n-1}$ for even m and with dilation 1 and expansion $2^n$ for odd m where $1{\leq}n{\leq}m$.

• Proceedings of the Korea Information Processing Society Conference
• /
• 2008.05a
• /
• pp.577-580
• /
• 2008

본 논문은 차원이 증가함에 따라 분지수가 증가하는 하이퍼큐브 연결망을 분지수가 고정인 피터슨-토러스(PT) 네트워크에 임베딩 가능함을 보였다. 하이퍼큐브 $Q_{log_2n^2+3}$을 PT(n,n)에 확장율 10/8, 연장율 1.5n+2 그리고 밀집율 4n에 임베딩 하였다. 확장율은 1에 근접하도록 사상알고리즘이 설계되었고, 밀집율과 연장율은 분지수가 증가하는 하이퍼큐브의 특성 때문에 O(n)에 비례한다.

• Journal of Korean Society of Industrial and Systems Engineering
• /
• v.22 no.52
• /
• pp.53-68
• /
• 1999

지금까지 전통적인 EPQ(Economic Production Quantity) 모델에서는 생산율이 수요율보다 큰 경우만을 다루어 왔으나, 실제 시장에서는 그 반대로 수요율이 생산율보다 큰 경우도 종종 발생한다. 그러나 이러한 상황에 대한 EPQ 연구는 찾아보기 어려운 실정이다. 따라서 본 논문에서는 수요율이 생산율보다 큰 상황을 고려한 확장된 EPQ 모델(Extended EPQ Model)을 유도하고, 이를 생산재고의 유한보충률 상황(Finite Replenishment Rate Environment)에서의 MPS(Master production Schedule)와 MRP(Material Requirements Planning)에 적용하였다.

• Journal of KIISE:Computer Systems and Theory
• /
• v.37 no.2
• /
• pp.61-65
• /
• 2010

The twisted cube has received great attention because it has several superior properties to the hypercube that is widely known as a versatile parallel processing system. In this paper, we show that node-disjoint $2^{n-1}$ meshes of size $2^n{\times}2^m$ can be embedded into a twisted cube with dilation 1 where $1{\leq}n{\leq}m$. The expansion is 1 for even m and 2 for odd m.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.18 no.5
• /
• pp.1116-1121
• /
• 2014

Mesh structure is one of typical interconnection networks, and it is used in the part of VLSI circuit design. Torus and Hyper-Torus are advanced interconnection networks in the part of diameter and fault-tolerance of mesh structure. In this paper, we will analyze embedding between Torus and Hyper-Torus networks. We will show T(4k,2l) can be embedded into QT(m,n) with dilation 5, congestion 4, expansion 1. And QT(m,n) can be embedded into T(4k,2l) with dilation 3, congestion 3, expansion 1.

• Journal of KIISE:Computer Systems and Theory
• /
• v.26 no.5
• /
• pp.595-601
• /
• 1999

기본 배년 네트워크의 내부 링크를 확장계수배만큼 확장한 확장 배년 네트워크는 기존 병렬처리 컴퓨터나 ATM 스위칭 시스템을 위한 효율적인 통신하부구조로서 여겨져왔다. 본 논문에서는 특히 각 스위치 소자 내부 버퍼가 있는 확장 배년 네트워크의 성능 분석 모델을 마코프 체인에 기초하여 제안한다. 제안한 분석모델에 의해 도출된 네트워크 지연시간과 정규처리율의 값을 모의실험결과와 비교하고, 네트워크 부하가 높고 확장계수가 작은 경우를 제외하고는 두 결과값이 항상 일치함을 보인다. 이러한 확장 배년 네트워크는 스위치의 크기와 관계없이 확장 계수가 3 이상이면 이상적인 처리율과 지연시간을 나타낸다.

• The KIPS Transactions:PartA
• /
• v.15A no.4
• /
• pp.189-198
• /
• 2008

In this paper, we prove mesh-like networks can be embedded into Petersen-Torus(PT) networks. Once interconnection network G is embedded in H, the parallel algorithm designed in Gcan be applied to interconnection network H. The torus is embedded into PT with dilation 5, link congestion 5 and expansion 1 using one-to-one embedding. The honeycomb mesh is embedded into PT with dilation 5, link congestion 2 and expansion 5/3 using one-to-one embedding. Additional, We derive average dilation. The embedding algorithm could be available in both wormhole routing system and store-and-forward routing system by embedding the generally known Torus and honeycomb mesh networks into PT at 5 or less of dilation and congestion, and the processor throughput could be minimized at simulation through one-to-one.

• The Journal of the Korea Contents Association
• /
• v.4 no.1
• /
• pp.76-82
• /
• 2004

In this paper, we used query evaluation method through thesaurus for retrieving Components having concept relation with any classes in a query. Queries are presented in boolean and expanded by similar table. Query expansion by thesaurus is the solution of the term mismatching and it enhanced precision and recall of the components retrieval. For efficiency evaluation of query expansion, we defined most critical value through a simulation and compared precision and recall each other.

• Proceedings of the IEEK Conference
• /
• 2003.07d
• /
• pp.1573-1576
• /
• 2003

스타 그래프와 팬케익 그래프는 하이퍼큐브가 갖는 좋은 성질을 가지면서 하이퍼큐브보다 망 비용이 적은 값을 갖는 상호연결망이다. 본 논문에서는 그래프의 에지 정의를 이용하여 스타 그래프 S/sub n/은 팬케익 그래프 P/sub n/에 연장율 4, 확장율 1에 임베딩 가능함을 보인다.