• Title/Summary/Keyword: Iterative Integer Linear Programming

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Comparison of Algorithms for Two-way Stratification Design

  • Kim, Sun-Woong
    • Communications for Statistical Applications and Methods
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    • v.11 no.1
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    • pp.139-151
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    • 2004
  • Kim et al. (2002) developed public use SAS-based software for two-way stratification design, which is called SOCSLP We describe the details of a new approach implemented using SOCSLP and key differences between the approach and the sampling schemes of Sitter and Skinner (1994) and Winkler (2001). In addition, a numerical example is given to compare those methods with respect to the probabilities of selecting sample arrays.

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.

Crew Schedule Optimization by Integrating Integer Programming and Heuristic Search (정수계획법과 휴리스틱 탐색기법의 결합에 의한 승무일정계획의 최적화)

  • Hwang, Jun-Ha;Park, Choon-Hee;Lee, Yong-Hwan;Ryu, Kwang-Ryel
    • Journal of KIISE:Computing Practices and Letters
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    • v.8 no.2
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    • pp.195-205
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    • 2002
  • Crew scheduling is the problem of pairing crews with each of the vehicles in operation during a certain period of time. A typical procedure of crew schedule optimization consists of enumerating all possible pairings and then selecting the subset which can cover all the operating vehicles, with the goal of minimizing the number of pairings in the subset. The linear programming approach popularly adopted for optimal selection of pairings, however, is not applicable when the objective function cannot be expressed in a linear form. This paper proposes a method of integrating integer programming and heuristic search to solve difficult crew scheduling problems in which the objective function cannot be expressed in linear form and at the same time the number of crews available is limited. The role of heuristic search is to improve the incomplete solution generated by integer programming through iterative repair. Experimental results show that our method outperforms human experts in terms of both solution quality and execution time when applied to real world crew scheduling Problems which can hardly be solved by traditional methods.

BILI-Hardware/Software Partition Heuristic (BILI-하드웨어/소프트웨어 분할 휴리스틱)

  • Oh Hyun-Ok;Ha, Soon-Hoi
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.9
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    • pp.66-77
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    • 2000
  • This paper presents a fast partitioning heuristic for hardware/software codesign called Best Imaginary Level-Iterative(BILI) partitioning which iteratively applies BIL heterogeneous multiprocessor scheduling heuristic to minimize the cost within the given time constraint. The proposed algorithm solves the partitioning problem with the implementation bin selection problem as well as architectures with multiple software modules. It costs about 15% less than the GCLP and at most about 5% more than the optimal solution obtained by the Integer Linear Programming(ILP) algorithm.

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On-demand Allocation of Multiple Mutual-compensating Resources in Wireless Downlinks: a Multi-server Case

  • Han, Han;Xu, Yuhua;Huang, Qinfei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.3
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    • pp.921-940
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    • 2015
  • In this paper, we investigate the multi-resource allocation problem, a unique feature of which is that the multiple resources can compensate each other while achieving the desired system performance. In particular, power and time allocations are jointly optimized with the target of energy efficiency under the resource-limited constraints. Different from previous studies on the power-time tradeoff, we consider a multi-server case where the concurrent serving users are quantitatively restricted. Therefore user selection is investigated accompanying the resource allocation, making the power-time tradeoff occur not only between the users in the same server but also in different servers. The complex multivariate optimization problem can be modeled as a variant of 2-Dimension Bin Packing Problem (V2D-BPP), which is a joint non-linear and integer programming problem. Though we use state decomposition model to transform it into a convex optimization problem, the variables are still coupled. Therefore, we propose an Iterative Dual Optimization (IDO) algorithm to obtain its optimal solution. Simulations show that the joint multi-resource allocation algorithm outperforms two existing non-joint algorithms from the perspective of energy efficiency.