• Title/Summary/Keyword: ILP Formulation

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Variable Aggregation in the ILP Design of WDM Networks with Dedicated Protection

  • Tornatore, Massimo;Maier, Guido;Pattavina, Achille
    • Journal of Communications and Networks
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    • v.9 no.4
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    • pp.419-427
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    • 2007
  • In wavelength-division-multiplexing(WDM) networks a link failure may cause the failure of several high-bit-rate optical channels, thereby leading to large data loss. Recently, various protection and restoration mechanisms have been proposed to efficiently deal with this problem in mesh networks. Among them, dedicated path protection(DPP) is a promising candidate because of its ultra-fast restoration time and robustness. In this work we investigate the issue of planning and optimization of WDM networks with DPP. Integer linear programming(ILP), in particular, is one of the most common exact method to solve the design optimization problem for protected WDM networks. Traditional ILP formalizations to solve this problem rely on the classical flow or route formulation approaches, but both these approaches suffer from a excessively high computational burden. In this paper, we present a variable-aggregation method that has the ability of significantly reducing the complexity of the traditional flow formulation. We compare also the computational burden of flow formulation with variable aggregation both with the classical flow and route formulations. The comparison is carried out by applying the three alternative methods to the optimization of two case-study networks.

Dynamic Survivable Routing for Shared Segment Protection

  • Tapolcai, Janos;Ho, Pin-Han
    • Journal of Communications and Networks
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    • v.9 no.2
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    • pp.198-209
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    • 2007
  • This paper provides a thorough study on shared segment protection (SSP) for mesh communication networks in the complete routing information scenario, where the integer linear program (ILP) in [1] is extended such that the following two constraints are well addressed: (a) The restoration time constraint for each connection request, and (b) the switching/merging capacity constraint at each node. A novel approach, called SSP algorithm, is developed to reduce the extremely high computation complexity in solving the ILP formulation. Basically, our approach is to derive a good approximation on the parameters in the ILP by referring to the result of solving the corresponding shared path protection (SPP) problem. Thus, the design space can be significantly reduced by eliminating some edges in the graphs. We will show in the simulation that with our approach, the optimality can be achieved in most of the cases. To verify the proposed formulation and investigate the performance impairment in terms of average cost and success rate by the additional two constraints, extensive simulation work has been conducted on three network topologies, in which SPP and shared link protection (SLP) are implemented for comparison. We will demonstrate that the proposed SSP algorithm can effectively and efficiently solve the survivable routing problem with constraints on restoration time and switching/merging capability of each node. The comparison among the three protection types further verifies that SSP can yield significant advantages over SPP and SLP without taking much computation time.

An Algorithm for Design of a Multiple Ring Network Using ROADM in WDM Mesh Networks (WDM Mesh 네트워크에서 ROADM을 이용한 멀티플-링 네트워크 설계 방안)

  • Kim, Eal-Lae;Lee, Sung-Kuen;Lim, Tae-Hyung;Lee, Myung-Moon;Park, Jin-Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.11B
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    • pp.663-672
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    • 2007
  • This paper proposes an algorithm for design of a multiple ring network that can be applied to an arbitrary topology in the WDM optical transport networks. Especially, we suggest an integer linear program(ILP) formulation with the objective of minimizing the total cost of nodes based on the reconfigurable OADM(ROADM) architecture and propose a heuristic algorithm to reduce computational complexity of the exact problem formulation. To evaluate the performance and validity of this scheme, we applied it to an NSFnet topology assuming the dynamic or static traffic condition and compared it with a mesh methodology about capacity of connection requests and the total cost of the nodes.

A Study on Operator Allocation and Binding by ILP (ILP기법을 이용한 연산자할당 및 바인딩에 관한 연구)

  • 신인수;인근만
    • Journal of the Korea Society of Computer and Information
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    • v.4 no.1
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    • pp.7-14
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    • 1999
  • In this paper, we deals with operator allocation and binding in high-level synthesis. We proposed a new methode to allocation and bind for scheduled operations on each control step after scheduling. Especially, we take account ILP formulation in order to get optimal allocation and binding result. Experiment was done on the HAL DFG model of Differential Equation, to show it's effectiveness.

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A Study on Operation Scheduling for Interconnection Optimization (Interconnection 최적화를 위한 연산 스케쥴링에 관한 연구)

  • 신인수
    • Journal of the Korea Society of Computer and Information
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    • v.7 no.2
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    • pp.40-45
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    • 2002
  • In this paper, we deals with scheduling problem for data-path synthesis in high-level synthesis. We proposed a new method to optimize interconnection cost for operator allocation. Especially, we focus to optimize for buses to transfer data channel and register to restore operation result. Also we take account ILP formulation in order to get optimal scheduling result. To verify the effectiveness of this study, we select 5th Digital Wave Filter. The experimental result show that purposed method was better then the general methods.

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The Multiple Traveling Purchaser Problem for Minimizing Logistics Response Time in Wartime (전시 군수반응시간 최소화를 위한 복수 순회구매자 문제)

  • Choi, Myung-Jin
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.3
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    • pp.431-437
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    • 2010
  • It's strongly needed to minimize the logistics response time for supporting military operations in wartime. In this paper, we suggest the ILP formulation for minimizing logistics response time in wartime. Main structure of this formulation is based on the traveling purchaser problem(TPP) which is a generalized form of the well-known traveling salesman problem(TSP). In the case of general TPP, objective function is to minimize the sum of traveling cost and purchase cost. But, in this study, objective function is to minimize traveling cost only. That's why it's more important to minimize traveling cost(time or distance) than purchase cost in wartime. We find out optimal solution of this problem by using ILOG OPL STUDIO(CPLEX v.11.1) and do the sensitive analysis about computing time according to number of operated vehicles.

Uncapacitated Multiple Traveling Purchaser Problem (용량제약이 없는 복수 순회구매자 문제)

  • Choi, Myung-Jin;Lee, Sang-Heon
    • Journal of Korean Institute of Industrial Engineers
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    • v.36 no.2
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    • pp.78-86
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    • 2010
  • The traveling purchaser problem(TPP) is a generalization of the well-known traveling salesman problem(TSP), which has many real-world applications such as purchasing the required raw materials for the manufacturing factories and the scheduling of a set of jobs over some machines, and many others. TPP also could be extended to the vehicle routing problem(VRP) by incorporating additional constraints such as multi-purchaser, capacity, distance and time restrictions. In the last decade, TPP has received some attention of the researchers in the operational research area. However it has not received the equivalent interest as much as TSP and VRP. Therefore, there does not exist a review of the TPP. The purpose of this paper is to review the TPP and to describe solution procedures proposed for this problem. We also introduce the ILP formulation for the multiple TPP(mTPP) which is generalized type of TPP. We compare the system performance according to change from TPP to mTPP.

Wavelength and Waveband Assignment for Ring Networks Based on Parallel Multi-granularity Hierarchical OADMs

  • Qi, Yongmin;Su, Yikai;Jin, Yaohui;Hu, Weisheng;Zhu, Yi;Zhang, Yi
    • ETRI Journal
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    • v.28 no.5
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    • pp.631-637
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    • 2006
  • In this paper we study the optimization issues of ring networks employing novel parallel multi-granularity hierarchical optical add-drop multiplexers (OADMs). In particular, we attempt to minimize the number of control elements for the off-line case. We present an integer linear programming formulation to obtain the lower bound in optimization, and propose an efficient heuristic algorithm called global bandwidth resource assignment that is suitable for the design of large-scale OADM networks.

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Storage Assignment for Variables Considering Efficient Memory Access in Embedded System Design (임베디드 시스템 설계에서 효율적인 메모리 접근을 고려한 변수 저장 방법)

  • Choi Yoonseo;Kim Taewhan
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.2
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    • pp.85-94
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    • 2005
  • It has been reported and verified in many design experiences that a judicious utilization of the page and burst access modes supported by DRAMs contributes a great reduction in not only the DRAM access latency but also DRAM's energy consumption. Recently, researchers showed that a careful arrangement of data variables in memory directly leads to a maximum utilization of the page and burst access modes for the variable accesses, but unfortunately, found that the problems are not tractable, consequently, resorting to simple (e.g., greedy) heuristic solutions to the problems. In this parer, to improve the quality of existing solutions, we propose 0-1 ILP-based techniques which produce optimal or near-optimal solution depending on the formulation parameters. It is shown that the proposed techniques use on average 32.2%, l5.1% and 3.5% more page accesses, and 84.0%, 113.5% and 10.1% more burst accesses compared to OFU (the order of first use) and the technique in [l, 2] and the technique in [3], respectively.

Efficient Internet Traffic Engineering based on Shortest Path Routing (최단경로 라우팅을 이용한 효율적인 인터넷 트래픽 엔지니어링)

  • 이영석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.2B
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    • pp.183-191
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    • 2004
  • Single shortest path routing is known to perform poorly for Internet traffic engineering (TE) where the typical optimization objective is to minimize the maximum link load. Splitting traffic uniformly over equal cost multiple shortest paths in OSPF and IS-IS does not always minimize the maximum link load when multiple paths are not carefully selected for the global traffic demand matrix. However, among all the equal cost multiple shortest paths in the network, a set of TE-aware shortest paths, which reduces the maximum link load significantly, can be found and used by IP routers without any change of existing routing protocols and serious configuration overhead. While calculating TE-aware shortest paths. the destination-based forwarding constraint at a node should be satisfied, because an IP router will forward a packet to the next-hop toward the destination by looking up the destination prefix. In this paper, we present a problem formulation of finding a set of TE-aware shortest paths in ILP, and propose a simple heuristic for the problem. From the simulation results, it is shown that TE-aware shortest path routing performs better than default shortest path routing and ECMP in terms of the maximum link load with the marginal configuration overhead of changing the next-hops.