• Title/Summary/Keyword: Binary Integer Linear Programming Model

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Adaptive Genetic Algorithm for the Manufacturing/Distribution Chain Planning

  • Kiyoung Shin;Chiung Moon;Kim, Yongchan;Kim, Jongsoo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.170-174
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    • 2003
  • In this research, we consider an integrated manufacturing/distribution planning problem in supply chain (SC) which has non-integer time lags. We focus on a capacitated manufacturing planning and capacity allocation problem for the system. We develop a mixed binary integer linear programming (MBLP) model and propose an efficient heuristic procedure using an adaptive genetic algorithm, which is composed of a regeneration procedure for evaluating infeasible chromosomes and the reduced costs from the LP-relaxation of the original model. The proposed an adaptive genetic algorithm was tested in terms of the solution accuracy and algorithm speed during numerical experiments. We found that our algorithm can generate the optimal solution within a reasonable computational time.

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A Development of Optimal Algorithms for N/M/D/F/Fmax Scheduling Problems (N/M/D/F/Fmax 일정계획 문제에서 최적 알고리듬의 개발)

  • 최성운
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.13 no.21
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    • pp.91-100
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    • 1990
  • This paper is concerned with the development of optimal algorithms for multi-stage flowshop scheduling problems with sequence dependent setup times. In the previous researches the setup time of a job is considered to be able to begin at the earliest opportunity given a particular sequence at the start of operations. In this paper the setup time of a job is considered to be able to begin only at the completion of that job on the previous machine to reflect the effects of the setup time to the performance measure of sequence dependent setup time flowshop scheduling. The results of the study consist of two areas; first, a general integer programming(IP) model is formulated and a nixed integer linear programming(MILP) model is also formulated by introducing a new binary variable. Second a depth-first branch and bound algorithm is developed. To reduce the computational burdens we use the best heuristic schedule developed by Choi(1989) as the first trial. The experiments for developed algorithm are designed for a 4$\times$3$\times$3 factorial design with 360 observations. The experimental factors are PS(ratio of processing time to setup time), M(number of machines), N(number of jobs).

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Developing Smart Grids Based on GPRS and ZigBee Technologies Using Queueing Modeling-Based Optimization Algorithm

  • de Castro Souza, Gustavo Batista;Vieira, Flavio Henrique Teles;Lima, Claudio Ribeiro;de Deus, Getulio Antero Junior;de Castro, Marcelo Stehling;de Araujo, Sergio Granato;Vasques, Thiago Lara
    • ETRI Journal
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    • v.38 no.1
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    • pp.41-51
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    • 2016
  • Smart metering systems have become widespread around the world. RF mesh communication systems have contributed to the creation of smarter and more reliable power systems. This paper presents an algorithm for positioning GPRS concentrators to attain delay constraints for a ZigBee-based mesh network. The proposed algorithm determines the number and placement of concentrators using integer linear programming and a queueing model for the given mesh network. The solutions given by the proposed algorithm are validated by verifying the communication network performance through simulations.

Optimized Structures with Hop Constraints for Web Information Retrieval (Hop 제약조건이 고려된 최적화 웹정보검색)

  • Lee, Woo-Key;Kim, Ki-Baek;Lee, Hwa-Ki
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.4
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    • pp.63-82
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    • 2008
  • The explosively growing attractiveness of the Web is commencing significant demands for a structuring analysis on various web objects. The larger the substantial number of web objects are available, the more difficult for the clients(i.e. common web users and web robots) and the servers(i.e. Web search engine) to retrieve what they really want. We have in mind focusing on the structure of web objects by introducing optimization models for more convenient and effective information retrieval. For this purpose, we represent web objects and hyperlinks as a directed graph from which the optimal structures are derived in terms of rooted directed spanning trees and Top-k trees. Computational experiments are executed for synthetic data as well as for real web sites' domains so that the Lagrangian Relaxation approaches have exploited the Top-k trees and Hop constraint resolutions. In the experiments, our methods outperformed the conventional approaches so that the complex web graph can successfully be converted into optimal-structured ones within a reasonable amount of computation time.

A Model and Algorithm for Optimizing the Location of Transit Transfer Centers (대중교통 환승센터 입지선정 모형 연구)

  • Yoo, Gyeong-Sang
    • Journal of Korean Society of Transportation
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    • v.30 no.1
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    • pp.125-133
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    • 2012
  • This paper deals with the passenger transfer trips counted from smart bus-card data from Seoul transit network to understand the current operational condition of the system. Objective of this study is to relocate the location of the transit transfer centers. It delivers a bi-level programing model. The upper model is a linear 0-1 binary integer program having the objective of total travel cost minimization constrained by the number of transfer centers and the total construction budget. The lower model is an user equilibrium assignment model determining the passengers' route choice according to the transfer center locations. The proposed bi-level programming model was tested in an example network. The result showed that the proposed was able to find the optimal solution.

A Study on Balanced Team Formation Method Reflecting Characteristics of Students (학생들의 특성을 반영한 균형적인 팀 편성 방법에 관한 연구)

  • Kim, Jong-hwan
    • Journal of Korea Society of Industrial Information Systems
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    • v.24 no.6
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    • pp.55-65
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    • 2019
  • With the advent of the Fourth Industrial Revolution and changes in the educational environment, team-based assignments are increasing in university classes. Effective team formation in team-based class is an important issue that affects students' satisfaction and the effectiveness of education. However, previous studies mostly focused on post analysis on the results of team formation, which makes it difficult to use them in actual classes. In this paper, we present a mathematical model of how to create a balanced team that reflects students' abilities and other characteristics. Characteristic values for assignment may be scores, such as students' proficiency, binary values such as gender, and multi-values, such as grade or department. This problem is a type of equitable partitioning problem, which takes the form of 0-1 integer programming, and the objective function is linear or nonlinear, depending on how balance is achieved. The basic model or the extended model presented can be applied to the situation where teams are balanced in consideration of various factors in actual class.