• Title/Summary/Keyword: 0-1 integer programming

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Groundwater Quality Monitoring Network Design Using Integer Programming (정수계획법을 이용한 지하수 수질관측망의 설계)

  • Lee, Sang-Il;Kim, Hak-Min
    • Journal of Korea Water Resources Association
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    • v.32 no.5
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    • pp.557-564
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    • 1999
  • Monitoring of groundwater Quality is essential for the preservation of groundwater resources. In practice. however, groundwater monitoring network is designed based on the experience and intuition of experts or on the convenience. This study proposes a simulation-optimization approach for the optimal design of monitoring networks. In it, the predicted three-dimensional concentration data are used as the input of an optimization problem. Various design objectives and constraints are considered and the problem is formulatcu as the 0-1 integer programming. The methodology was applied to a sanitary landfill site. The results show that the monitoring network configuration changes as the monitoring goal, operation time and constraints vary. The proposed method turns out to be an efficient tool for the wide range of groundwater Quality monitoring network design problems.oblems.

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A Cruise Ship Itinerary Planning Model for Passenger Satisfaction

  • Cho, Seong-Cheol
    • Journal of Navigation and Port Research
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    • v.43 no.5
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    • pp.273-280
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    • 2019
  • This study developed an optimization model, defined as the IPS (Itinerary for Passenger Satisfaction), for a cruise ship to identify an itinerary that maximizes passenger satisfaction. A 0-1 integer programming model was developed to provide an optimal sequence of ports of call, assigning a destination to each day of the cruise. The concepts of the destination access network and the neighborhood of a destination were designed and manipulated to organize the complex network of destinations so that each next destination is selected within a practical overnight sail. The developed model can also be viewed as a reduced variant of the traveling salesperson problem with less constraints. A set of example tests shows that practical scenarios of the IPS with moderate cruise duration can be easily solved with light computation loads. Considering cruise ship passengers usually make their decisions not relying on only one destination but on an itinerary in its entirety, the purpose of this study was to identify itinerary alternatives to attract potential cruise passengers for attaining maximum occupancy level.

A Study on Berth Allocation for Navy Surface Vessels Considering Precedence Relationships among Services (서비스 전후 우선순위를 고려한 해군함정의 선석 할당에 관한 연구)

  • Jung, Whan-Sik;Kim, Jae-Hee;Kim, Sheung-Kwon
    • Journal of Navigation and Port Research
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    • v.28 no.1
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    • pp.83-90
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    • 2004
  • Navy surface vessels require pier services such as emergency repair, oil supply, arm loading / unloading, craning, standby readiness, normal repair, gun arrangement, ammunition loading, and food loading during the period in port. The purpose of this study is to establish efficient berth allocation plan for navy surface vessels in home port under the limited resources of piers and equipments. This study suggests Mixed Integer Programming model for berth allocation problem, considering precedence relationships among services. For an effective analysis, the model is implemented by ILOG OPL(Optimization Programming Language) Studio 3.1 and ILOG CPLEX 7.0. The results of the model show reduction of berth shifts and increasement of service benefits.

Optimization of LCD Panel Cutting Problem Using 0-1 Mixed Integer Programming (0-1 혼합정수계획법을 이용한 LCD 패널 절단 문제 최적화)

  • Kim, Kidong;Park, Hyeon Ji;Shim, Yun-Seop;Jeon, Tae Bo
    • Journal of Sensor Science and Technology
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    • v.26 no.4
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    • pp.274-279
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    • 2017
  • LCD(Liquid Crystal Display) panel cutting problem is a sort of two dimensional cutting stock problem. A cutting stock problem is problem that it minimizes the loss of the stock when a stock is cut into various parts. In the most research of the two dimensional cutting stock problem, it is supposed that the relative angle of a stock and parts is not important. Usually the angle is regarded as horizontal or perpendicular. In the manufacturing of polarizing film of LCD, the relative angle should be maintained at some specific angle because of the physical and/or chemical characteristics of raw material. We propose a mathematical model for solving this problem, a two-dimensional non-Guillotine cutting stock problem that is restricted by an arranged angle. Some example problems are solved by the C++ program using ILOG CPLEX classes. We could get the verification and validation of the suggested model based on the solutions.

A Linear Program Based Heuristic for the Bit and Subchannel Allocation in an OFDM System (OFDM 시스템의 비트 및 부채널 할당을 위한 선형계획법 기반 휴리스틱)

  • Moon, Woosik;Kim, Sunho;Park, Taehyung;Im, Sungbin
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.8
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    • pp.67-75
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    • 2013
  • The advantages of the orthogonal frequency division multiplexing (OFDM) are high spectral efficiency, resiliency to RF interference, and lower multi-path distortion. To further utilize vast channel capacity of the multiuser OFDM, one has to find the efficient adaptive subchannel and bit allocation among users. In this paper, we compare the performance of the linear programming dual of the 0-1 integer programming formulation with the existing convex optimization approach for the optimal subchannel and bit allocation problem of the multiuser OFDM. Utilizing tight lower bound provided by the LP dual formulation, we develop a primal heurisitc algorithm based on the LP dual solution. The performance of the primal heuristic is compared with MAO, ESA heuristic solutions, and integer programming solution on MATLAB simulation on a system employing M-ary quadrature amplitude modulation (MQAM) assuming a frequency-selective channel consisting of three independent Rayleigh multi-paths.

A Polynomial Algorithm for the Minimum Spanning Arborescence in Transportation Networks with Bitype Arc Costs (이중비용 네트워크에서의 최소비용 극대방향 나무 해법)

  • Sim, Hyun-Taek;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.1
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    • pp.17-25
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    • 1990
  • Most of the least cost transportation network design problems are frequently formulated as the minimum spanning arborescence problems in directed networks with bitype are costs. These costs are classified whether the arc is included in the path from the root to a specified node over a given spanning arborescence. We prove that this problem is NP-hard, and develop a polynomial time algorithm for acyclic networks. The probelm in acyclic networks is initially formulated as 0-1 integer programming. Next, we prove that the 0-1 relaxed linear programming has an integral optimum solution by complementary slackness conditions. In this paper, we present an $O(n^2)$ algorithm based on a shortest path algorithm.

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Development of the Family Disaggregation Algorithm for Hierarchical Production Planning (계층적 생산계획의 계품군 분해해법 개발)

  • 김창대
    • Journal of the Korean Operations Research and Management Science Society
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    • v.18 no.1
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    • pp.1-18
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    • 1993
  • The family disaggregation model of hierarchical production planning (HPP) is the problem of (0 -1) mixed integer programming that minimizes the total sum of setup costs and inventory holding costs over the planning horizon. This problem is hard in a practical sense since optimal solution algorithms have failed to solve it within reasonable computation times. Thus effective familoy disaggregation algorithm should be developed for HPP. The family disaggregation algorithm developed in this paper consists of the first stage of finding initial solutions and the second stage of improving initial solutions. Some experimental results are given to verify the effectiveness of developed disaggregation algorithm.

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A Study on the Decision Making Models for Evaluating the Priorities in the Army Facility Enterprise (군 시설사업 우선순위선정을 위한 의사결정모형에 관한 연구)

  • 정성환;이상헌
    • Journal of the military operations research society of Korea
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    • v.27 no.2
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    • pp.37-55
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    • 2001
  • The main purpose of this study is to review the current system and to develop a decision support system for evaluating the priorities among those possible alternatives in the army facility enterprise. This paper also provides an information system which can be effectively applied to various criteria and stages in decision making process such as Planning and Programming phases in PPBEES. The model base of decision support systems uses the concepts of the analytic hierarchy process along with the supplementary techniques such as TOPSIS and 0-1 integer programming. Both AHP and TOPSIS are used scoring approaches in the Planning phase and IP is induced at the Programming phase to give GO/NO-GO solution for each project. We use Expert Choice, Excel and LINDO s/w's to implement a prototyped model. The proposed methodology in this paper enables the decision makers to evaluate the priority based on quantitative and qualitative data in a systematic way.

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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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An optimization of crude oil tanker scheduling problems (유조선의 최적 운항일정계획)

  • 주재훈;김기석
    • Korean Management Science Review
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    • v.8 no.1
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    • pp.91-108
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    • 1991
  • This paper presents an efficient optimization algorithm for the crude oil tanker scheduling problem. The algorithm consists of two stages. In stage one, all the potentially optimal schedules (called 'candidate schedules') are generated from feasible schedules for each ship. In the second stage, a multiple ship scheduling problem is formulated as 0-1 integer programming problem considering only the those candidate schedules. The efficiency of the suggested algorithm was improved by exploiting the special structure of the formulation. The algorithm was illustrated by a numerical example and tested on practical ship scheduling problems.

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