• Title/Summary/Keyword: Integer Linear Programming

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Analyzing the Performance of a Davis-Putnam based Optimization Algorithm for the Index Selection Problem of Database Systems (데이터베이스 색인선택 문제에 대한 Davis-Putnam 기반 최적화 알고리즘의 성능 분석)

  • 서상구
    • The Journal of Information Technology and Database
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    • v.7 no.2
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    • pp.47-59
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    • 2000
  • In this paper, we analyze the applicability of a general optimization algorithm to a database optimization problem. The index selection problem Is the problem to choose a set of indexes for a database in a way that the cost to process queries in the given workload is minimized subject to a given storage space restriction for storing indexes. The problem is well known in database research fields, and many optimization and/or heuristic algorithms have been proposed. Our work differs from previous research in that we formalize the problem in the form of non-linear Integer Programming model, and investigate the feasibility and applicability of a general purpose optimization algorithm, called OPBDP, through experiments. We implemented algorithms to generate workload data sets and problem instances for the experiment. The OPBDP algorithm, which is a non-linear 0-1 Integer Programming problem solver based on Davis-Putnam method, worked generally well for our problem formulation. The experiment result showed various performance characteristics depending on the types of decision variables, variable navigation methods and ocher algorithm parameters, and indicates the need of further study on the exploitation of the general purpose optimization techniques for the optimization problems in database area.

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A Dynamic Placement Mechanism of Service Function Chaining Based on Software-defined Networking

  • Liu, Yicen;Lu, Yu;Chen, Xingkai;Li, Xi;Qiao, Wenxin;Chen, Liyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.10
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    • pp.4640-4661
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    • 2018
  • To cope with the explosive growth of Internet services, Service Function Chaining (SFC) based on Software-defined Networking (SDN) is an emerging and promising technology that has been suggested to meet this challenge. Determining the placement of Virtual Network Functions (VNFs) and routing paths that optimize the network utilization and resource consumption is a challenging problem, particularly without violating service level agreements (SLAs). This problem is called the optimal SFC placement problem and an Integer Linear Programming (ILP) formulation is provided. A greedy heuristic solution is also provided based on an improved two-step mapping algorithm. The obtained experimental results show that the proposed algorithm can automatically place VNFs at the optimal locations and find the optimal routing paths for each online request. This algorithm can increase the average request acceptance rate by about 17.6% and provide more than 20-fold reduction of the computational complexity compared to the Greedy algorithm. The feasibility of this approach is demonstrated via NetFPGA-10G prototype implementation.

MINLP optimization of a composite I beam floor system

  • Zula, Tomaz;Kravanja, Stojan;Klansek, Uros
    • Steel and Composite Structures
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    • v.22 no.5
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    • pp.1163-1192
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    • 2016
  • This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in)equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.

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.

Design of FIR filters with Prefilter-Equalizer Structure for Narrowband Communication Systems (협대역 통신시스템을 위한 전처리기-등화기 구조의 FIR 여파기 설계)

  • Oh Hyukjun;Ahn Heejune
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.6C
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    • pp.577-584
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    • 2005
  • Optimal methods for designing multiplierless minimal complexity FIR filters with cascaded prefilter-equalizer structures are proposed for narrowband communication systems. Assuming that an FIR filter consists of a cyclotomic polynomial(CP) prefilter and an interpolated second order polynomial(ISOP) equalizer, in the proposed method the prefilter and equalizer are simultaneously designed using mixed integer linear programming(MILP). The resulting filter is a cascaded filter with minimal complexity. Design examples demonstrate that the proposed methods produce a more computationally efficient cascaded prefilter-equalizer than other existing filters.

Design of IIR Filters with Prefilter-Equalizer Structure for Narrowband Applications (협대역 응용 시스템을 위한 전처리기-등화기 구조의 IIR 여파기 설계 방법)

  • Oh Hyuk-jun;Ahn Hee-june
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.42 no.4 s.304
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    • pp.143-152
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    • 2005
  • Optimal methods for designing multiplierless IIR filters with cascaded prefilter-equalizer structures are proposed for narrowband applications. Assuming that an U filter consists of a cyclotomic Polynomial (CP) prefilter and an all-Pole equalizer based on interpolated first order polynomial (IFOP), in the proposed method the prefilter and equalizer are simultaneously designed using mixed integer linear programming (MILP). The resulting filter is a cascaded filter with minimal complexity. In addition, MtP tries to minimize both computational complexity and phase response non-linearity. Design examples demonstrate that the proposed methods produce a more efficient cascaded prefilter-equalizer than existing methods.

Margin Adaptive Optimization in Multi-User MISO-OFDM Systems under Rate Constraint

  • Wei, Chuanming;Qiu, Ling;Zhu, Jinkang
    • Journal of Communications and Networks
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    • v.9 no.2
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    • pp.112-117
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    • 2007
  • In this paper, we focus on the total transmission power minimization problem for downlink beamforming multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems while ensuring each user's QoS requirement. Although the linear integer programming (LIP) solution we formulate provides the performance upper bound of the margin adaptive (MA) optimization problem, it is hard to be implemented in practice due to its high computational complexity. By regarding each user's equivalent channel gain as approximate independent values and using iterative descent method, we present a heuristic MA resource allocation algorithm. Simulation results show that the proposed algorithm efficiently converges to the local optimum, which is very close to the performance of the optimal LIP solution. Compared with existing space division multiple access (SDMA) OFDM systems with or without adaptive resource allocation, the proposed algorithm achieves significant performance improvement by exploiting the frequency diversity and multi-user diversity in downlink multiple-input single-output (MISO) OFDM systems.

Design of Fixed-point Pulse Shaping FIR fitters Using Mixed Integer Linear Programming (혼합 선형계획법을 이용한 고정소수점 파형 성형 FIR필터의 설계)

  • 오우진
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.1
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    • pp.105-113
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    • 2000
  • This paper proposes the optimal design method of PSF(pulse shaping filter) with fixed-point coefficients, often used in digital communication system. Though RCF (Raised Cosine Filter) and Root-Squared RCF have less attenuation in stopband and are designed with floating point coefficients, those are selected by the reason that the design is simple. In this paper, 1 introduce the optimal design method for fixed point PSF including Root Squared type by using mixed integer linear programming. Through some design examples, it is shown that the proposed method better performs in ISI and requires less complexity. The complexity of the proposed filter is reduced to 20% as compared to conventional RCF and Root Squared RCF. For IS-95, that is the standard of CDMA system, the proposed filter reduces ISI up to 75% compared to the standard transmission filter.

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Discrete Optimization of Unsymmetric Composite Laminates Using Linear Aproximation Method (선형 근사화방법을 이용한 비대칭 복합 적층평판의 이산최적화)

  • 이상근;구봉근;한상훈
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.255-263
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    • 1997
  • The optimum design of most structural systems used in practice requires considering design variables as discrete quantities. The present paper shows that the linear approximation method is very effective as a tool for the discrete optimum designs of unsymmetric composite laminates. The formulated design problem is subjected to a multiple in-plane loading condition due to shear and axial forces, bending and twisting moments, which is controlled by maximum strain criterion for each of the plys of a composite laminate. As an initial approach, the process of continuous variable optimization by FDM is required only once in operating discrete optimization. The nonlinear discrete optimization problem that has the discrete and continuous variables is transformed into the mixed integer programming problem by SLDP. In numerical examples, the discrete optimum solutions for the unsymmetric composite laminates consisted of six plys according to rotated stacking sequence were found, and then compared the results with the nonlinear branch and bound method to verify the efficiency of present method.

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A Goal Programming Model for Guard Soldier Scheduling (목표계획법을 이용한 경계부대 근무편성에 관한 연구)

  • Kim, Hak-Young;Ryoo, Hong-Seo
    • Journal of the military operations research society of Korea
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    • v.32 no.2
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    • pp.21-39
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    • 2006
  • This paper presents a mixed linear and integer goal programming (GP) model to aid in strategic planning and scheduling of guard soldiers. The proposed model is a general-purpose model, hence can be used to produce an optimal schedule with respect to any user-provided combination of guard post objectives and soldier preferences. We extensively test the usefulness of the model on a real-life dataset from a guard post in the ROK Army with using three objectives set by the guard post and three preferences provided by individual solders. Numerical results and analysis from these experiments show that the proposed guard scheduling model efficiently as well as effectively generates an optimal guard schedule and can also be used for an optimal revision of any existing schedule. In summary, these illustrate that the proposed model can be practically used for optimal planning and scheduling of guard soldiers in guard posts.