• Title/Summary/Keyword: Integer Linear Programming

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Consideration of Ambiguties on Transmission System Expansion Planning using Fuzzy Set Theory (애매성을 고려한 퍼지이론을 이용한 송전망확충계획에 관한 연구)

  • Tran, T.;Kim, H.;Choi, J.
    • Proceedings of the KIEE Conference
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    • 2004.11b
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    • pp.261-265
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    • 2004
  • This paper proposes a fuzzy dual method for analyzing long-term transmission system expansion planning problem considering ambiguities of the power system using fuzzy lineal programming. Transmission expansion planning problem can be formulated integer programming or linear programming with minimization total cost subject to reliability (load balance). A long-term expansion planning problem of a grid is very complex, which have uncertainties fur budget, reliability criteria and construction time. Too much computation time is asked for actual system. Fuzzy set theory can be used efficiently in order to consider ambiguity of the investment budget (economics) for constructing the new transmission lines and the delivery marginal rate (reliability criteria) of the system in this paper. This paper presents formulation of fuzzy dual method as first step for developing a fuzzy Ford-Fulkerson algorithm in future and demonstrates sample study. In application study, firstly, a case study using fuzzy integer programming with branch and bound method is presented for practical system. Secondly, the other case study with crisp Ford Fulkerson is presented.

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An Optimization Procedure for a Multi-Item Multi-Source Materials Acquisition Problen

  • Kim, Jae-Yearn
    • Journal of Korean Institute of Industrial Engineers
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    • v.10 no.1
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    • pp.3-10
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    • 1984
  • A materials acquisition planning (MAP) problem that involves the determination of how much to order of a number of different items from a number of different suppliers is considered. This particular problem is modelled as a nonlinear mixed integer programming problem. A solution procedure based upon the partition of variables is developed to handle the MAP problem. This solution procedure utilizes a modified Hooke-Jeeves Pattern Search procedure along with a linear programming simplex algorithm. An example problem is presented and the results of applying the suggested solution procedure to this problem are reported.

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Optimal Operation Model of Heat Trade based District Heating and Cooling System Considering Start-up Characteristic of Combined Cycle Generation (가스터빈 복합발전의 기동특성을 고려한 열거래 기반 지역 냉난방 시스템의 최적 운영 모델)

  • Kim, Jong-Woo;Lee, Ji-Hye;Kim, Hak-Man
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.11
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    • pp.1610-1616
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    • 2013
  • Recently, district heating and cooling (DHC) systems based on combined cycle generation (CCG) providers are increasing in Korea. Since characteristics of combined heat and power (CHP) generators and heat demands of providers, heat trading between DHC providers based on the economic viewpoint is required; the heat trading has been doing. In this paper, a mathematical model for optimal operation based on heat trading between DHC providers is proposed. Especially, start-up characteristic of CCG is included. The operation model is established by mixed integer linear programming (MILP).

Preliminary Analysis of Solid Waste Management System for Seoul City by a Mixed Integer Programming Model (혼합 정수 계획 모형을 활용한 서울시 폐기물 관리 시스템 예비 분석)

  • Kim, Jae-Hee;Kim, Sheung-Kown
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2001.10a
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    • pp.72-75
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    • 2001
  • This paper presents a sophisticated mixed-integer linear programming model that may help regional decision-maker to develop long term plan of solid waste management The model revises Ni-Bin Chang(1996)'s integrated waste management models to fit Korean solid waste management system We apply this model to evaluate impact of facility sharing and coordinated operation among three self-governing districts in Seoul city Our study results indicate that facility sharing and coordinated operation among districts eliminate unnecessary landfilling and facility expansion.

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A Branch-and-Price Algorithm for the Bandwidth Packing Problem (대역폭 분할 문제를 위한 Branch-and-Price 알고리듬)

  • Kim Deokseong;Lee Kyungsik;Park Sungsoo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.05a
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    • pp.381-385
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    • 2003
  • We consider the bandwidth parking problem arising from telecommunication networks The problem is to determine the set of calls to be routed and an assignment or them to the paths in arc capacitated network. The objective is to maximize profit. We formulate the problem as an integer programming and propose an algorithm to solve it. Column generation technique to solve the linear programming relxation is proposed with two types of columns in addition, to obtain an optimum integer solution, we consider a new branching strategy. Computational experiments show that the algorithm gives option at solutions within reasonably small time limits.

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Routing and Wavelength Assignment in Survivable WDM Networks without Wavelength Conversion

  • Lee, Tae-Han;Park, Sung-Soo;Lee, Kyung-Sik
    • Management Science and Financial Engineering
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    • v.11 no.2
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    • pp.85-103
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    • 2005
  • In this paper, we consider the routing and wavelength assignment problem in survivable WDM transport network without wavelength conversion. We assume the single-link failure and a path protection scheme in optical layer. When a physical network and a set of working paths are given, the problem is to select a link-disjoint protection path for each working path and assign a wavelength for each working and protection path. We give an integer programming formulation of the problem and propose an algorithm to solve it. Though the formulation has exponentially many variables, we solve the linear programming relaxation of it by using column generation technique. We devise a branch-and price algorithm to solve the column generation problem. After solving the linear programming relaxation, we apply a variable fixing procedure combined with the column generation to get an integral solution. We test the proposed algorithm on some randomly generated data and test results show that the algorithm gives very good solutions.

Study of Optimization of Ground Vehicles Routes Aiming to Reduce Operational Costs and to Contribute to a Sustainable Development with the Reduction of Carbon Dioxide in the Atmosphere

  • Clecio, A.;Thomaz, F.;Hereid, Daniela
    • The Journal of Economics, Marketing and Management
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    • v.4 no.1
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    • pp.1-8
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    • 2016
  • The purpose of this paper is to discuss the methodology of optimizing delivery route scheduling using a capacity integer linear programming problem model developed to a previous case study. The methodology suggests a two-stage decision: the first, automatic, where the manager will obtain guidance generated by the solution of the linear programming model, later they could use post-optimization techniques to fine tune to the best operational solution. This study has the goal to reduce the size of service companies' ground transportation fleets, aiming not only to reduce costs and increase competitive advantages but also to lower levels of air pollution and its consequences, traffic and, therefore, the levels of carbon dioxide, allowing for a reduction in envir onmental disasters.

Task Assignment of Multiple UAVs using MILP and GA (혼합정수 선형계획법과 유전 알고리듬을 이용한 다수 무인항공기 임무할당)

  • Choi, Hyun-Jin;Seo, Joong-Bo;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.5
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    • pp.427-436
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    • 2010
  • This paper deals with a task assignment problem of multiple UAVs performing multiple tasks on multiple targets. The task assignment problem of multiple UAVs is a kind of combinatorial optimization problems such as traveling salesman problem or vehicle routing problem, and it has NP-hard computational complexity. Therefore, computation time increases as the size of considered problem increases. To solve the problem efficiently, approximation methods or heuristic methods are widely used. In this study, the problem is formulated as a mixed integer linear program, and is solved by a mixed integer linear programming and a genetic algorithm, respectively. Numerical simulations for the environment of the multiple targets, multiple tasks, and obstacles were performed to analyze the optimality and efficiency of each method.

Closed Walk Ferry Route Design for Wireless Sensor Networks

  • Dou, Qiang;Wang, Yong;Peng, Wei;Gong, Zhenghu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.10
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    • pp.2357-2375
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    • 2013
  • Message ferry is a controllable mobile node with large capacity and rechargeable energy to collect information from the sensors to the sink in wireless sensor networks. In the existing works, route of the message ferry is often designed from the solutions of the Traveling Salesman Problem (TSP) and its variants. In such solutions, the ferry route is often a simple cycle, which starts from the sink, access all the sensors exactly once and moves back to the sink. In this paper, we consider a different case, where the ferry route is a closed walk that contains more than one simple cycle. This problem is defined as the Closed Walk Ferry Route Design (CWFRD) problem in this paper, which is an optimization problem aiming to minimize the average weighted delay. The CWFRD problem is proved to be NP-hard, and the Integer Linear Programming (ILP) formulation is given. Furthermore, a heuristic scheme, namely the Initialization-Split-Optimization (ISO) scheme is proposed to construct closed walk routes for the ferry. The experimental results show that the ISO algorithm proposed in this paper can effectively reduce the average weighted delay compared to the existing simple cycle based scheme.