• Title/Summary/Keyword: mixed integer programming (MIP)

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A Mixed-Integer Programming Model to Draw the Concordance Level and the Kernel Set for the Implementation of ELECTRE IS (ELECTRE IS의 구현 시 일치판정 기준비율 도출과 핵심대안 선정을 위한 혼합정수계획 모형)

  • Park, Seokyoung;Kim, Jaehee;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.31 no.4
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    • pp.265-276
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    • 2005
  • ELECTRE IS requires the decision maker (DM) to specify several parameters such as weights, pseudo-criteria thresholds and the concordance level. Among these parameters, the concordance level has a significant effect on the outranking relation. And the number of alternatives selected may be sensitive to the value of these parameters. Therefore the DM may have to perform many iterations to obtain the desired number of alternatives in the kernel set. In this study, we developed a mixed-integer programming (MIP) model to elicit the concordance level and thereby to choose the desired number of alternatives in the kernel set. The MIP model can be applied in the interactive process so that the pseudo-criteria thresholds are adjusted according to the results of MIP model. Using the MIP model in the interactive process, we can reduce the number of iterations needed to perform ELECTRE IS.

A Study on Scheduling of Scrap Disposal for Deap-sea Fishing Industry Using a Mixed Integer Programming Model (혼합정수계획 모형을 활용한 원양산업의 최적 감척 일정계획 수립에 관한 연구)

  • Kim, Jae-Hee
    • Korean Management Science Review
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    • v.27 no.2
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    • pp.55-66
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    • 2010
  • In Korea, deap-sea fishing industry plays an important role in a food industry. However, it is in a difficult situation because of the more competitive business environment. Therefore, there is a need to restructure the deap-sea fishing industry by scraping superannuated ships. This paper is designed to present scrap programs for deap-sea fishing industry of Korea. We performed ratio analysis to evaluate financial performance of fishing companies and then applied a mixed integer programming (MIP) model to identify optimal schedule for scraping. The results of the financial ratio analysis indicates that it is legible to provide governmental aid to Atlantic trawl, Northern Pacific trawl, and Indian ocean trawl with minimum required rate of return (MRR) of 3%, and the Atlantic strip fishing industry is qualified to receive the governmental aid with MRR value of 5%. Furthermore, by applying the MIP model to develop scrap planning, we demonstrate how our model can be used to restructure the deap-sea fishing industry of Korea.

A Hybrid Heuristic Approach for Supply Chain Planningwith n Multi-Level Multi-Item Capacitated Lot Sizing Model (자원제약하의 다단계 다품목 공급사슬망 생산계획을 위한 휴리스틱 알고리즘)

  • Shin Hyun-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.1
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    • pp.89-95
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    • 2006
  • Planning distributed manufacturing logistics is one of main issues in supply chain management. This paper proposes a hybrid heuristic approach for the Multi-Level, multi-item Capacitated Lot Sizing Problem (MLCLSP) in supply chain network. MLCLSP corresponds to a mixed integer programming (MIP) problem. With integer variable solutions determined by heuristic search, this MIP problem becomes linear program (LP). By repeatedly solving the relaxed MIP problems with a heuristic search method in a hybrid manner, this proposed approach allocates finite manufacturing resources fur each distributed facilities and generates feasible production plans. Meta heuristic search algorithm is presented to solve the MIP problems. The experimental test evaluates the computational performance under a variety of problem scenarios.

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Mixed Integer Programming (MIP)-based Energy Storage System Scheduling Method for Reducing the Electricity Purchasing Cost in an Urban Railroad System (도시철도 시스템 전기요금 절감을 위한 혼합정수계획법 기반 ESS(에너지저장장치) 스케줄링 기법)

  • Ko, Rakkyung;Kong, Seongbae;Joo, Sung-Kwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.7
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    • pp.1125-1129
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    • 2015
  • Increasing peak load is one of the major concerns about operation of urban railroad systems. Since ESSs (Energy Storage Systems) have a great potential for shaving the peak load, there has been a growing interest in the use of ESS for peak load reduction. Also, ESS can be optimally scheduled to minimize the electricity purchasing cost under a given ToU (Time-of-Use) tariff by taking advantage of electricity price difference between peak and off-peak time. This paper presents a Mixed Integer Programming (MIP)-based ESS scheduling method to minimize the electricity purchasing cost under a ToU tariff for an urban railroad system.

Optimizing delivery routing problem for logistics companies based on Integer Linear Programming method

  • Cao, Ngoc-Anh;Phan, Thanh-Hang;Chinh, Nguyen Thi;Tran, Duc-Quynh;Nguyen, Ha-Nam;Trang, Ngo-Thi-Thu;Choi, Gyoo-Seok
    • International Journal of Internet, Broadcasting and Communication
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    • v.14 no.4
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    • pp.212-221
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    • 2022
  • Currently, issues related to freight at Vietnamese logistics companies are becoming more and more urgent because of typical problems in Vietnam such as traffic, infrastructure, and application of information technology. This problem has been studied by applying many different approaches such as Integer Programming (LP), Mixed Integer Programming (MIP), hybrid, meta search, … In this paper, we applied the ILP model in order to deal with the VRP problem in a small size logistics company which is very popular in Vietnam. The experiments showed promising results with some optimal solutions with some small extra costs.

A Study on the Allocation and Engagement Scheduling of Air Defense Missiles by Using Mixed Integer Programming (혼합정수계획법을 이용한 요격미사일의 할당 및 교전 일정계획에 관한 연구)

  • Lee, Dae Ryeock;Yang, Jaehwan
    • Korean Management Science Review
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    • v.32 no.4
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    • pp.109-133
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    • 2015
  • This paper considers the allocation and engagement scheduling of air defense missiles by using MIP (mixed integer programming). Specifically, it focuses on developing a realistic MIP model for a real battle situation where multiple enemy missiles are headed toward valuable defended assets and there exist multiple air defense missiles to counteract the threats. In addition to the conventional objective such as the minimization of surviving target value, the maximization of total intercept altitude is introduced as a new objective. The intercept altitude of incoming missiles is important in order to minimize damages from debris of the intercepted missiles and moreover it can be critical if the enemy warhead contains an atomic or chemical bomb. The concept of so called the time window is used to model the engagement situation and a continuous time is assumed for flying times of the both missiles. Lastly, the model is extended to simulate the situation where the guidance radar, which guides a defense missile to its target, has the maximum guidance capacity. The initial mathematical model developed contains several non-linear constraints and a non-linear objective function. Hence, the linearization of those terms is performed before it is solved by a commercially available software. Then to thoroughly examine the MIP model, the model is empirically evaluated with several test problems. Specifically, the models with different objective functions are compared and several battle scenarios are generated to evaluate performance of the models including the extended one. The results indicate that the new model consistently presents better and more realistic results than the compared models.

Multi-Criteria Group Decision Making Considering the Willingness to Reject and the Indifferent Preference (거부 및 무차별 선호 조건을 고려한 다기준 그룹 의사결정)

  • Choi, Ji-Yoon;Kim, Jae-Hee;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.1
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    • pp.57-66
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    • 2012
  • The paper deals with the development of a model for group decision making under multiple criteria. The Multi-criteria group decision making (MCGDM) is the process to determine the best compromise solution in a set of competing alternatives that are evaluated by decision makers having their own preferences on conflicting objectives. For MCGDM, we propose a Mixed-Integer Programming (MIP) model that implements a revised median approach by noticing that the original median approach cannot consider the willingness to reject and the indifferent preference conditions. The proposed MIP model tries to select a common best Pareto-optimal solution by maximizing the overall desirability considering the willingness to reject and the indifferent preference that represent the tolerance measure of each decision maker. To evaluate the effectiveness of the proposed model, we compared the results of the proposed model with those of the median approach. The results showed that the proposed MIP model produces more realistic and better compromised alternative by incorporating the decision maker's willingness to reject and the indifferent preferences over each criteria.

A Study on the Regionalization of the Municipal Solid Waste Management System Using a Mathematical Programming Model (수리계획모형을 활용한 대도시 폐기물 관리 시스템의 광역화 운영 계획에 관한 연구)

  • 김재희;김승권;이용대
    • Korean Management Science Review
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    • v.20 no.1
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    • pp.65-76
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    • 2003
  • The increased environmental concerns and the emphasis on recycling are gradually shifting the orientation of municipal solid waste (MSW) management. This paper is designed to evaluate regionalization programs for MSW management system. We developed a mixed intiger network programming (MIP) model to identify environment-friendly, cost-effective expansion plans for regionalization scenarios considered. The MIP model is a dynamic capacity expansion model based on the network flow model that depicts the MSW management cycle. In particular, our model is designed to determine the optimal form of regionalization using binary variables. We apply this model to assess the regionalization program of Seoul Metropolitan City, which includes three scenarios such as 1) districting, 2) regionalization with neighboring self-governing districts, and 3) g1obalization with all districts. We demonstrate how our model can be used to plan the MSW system. The results indicate that optimal regionalization with nearby self-governing districts can eliminate unnecessary landfills and expansions if jurisdictional obstacles are removed.

A Study on the Equipment Allocation using Reliability Optimization with Discrete Functions (이산함수를 사용한 신뢰도 최적화에 의한 장치 선택에 관한 연구)

  • Yeo Yeong-Koo;Jin Sang-Hwa;Song Kwang Ho
    • Journal of the Korean Institute of Gas
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    • v.6 no.1 s.17
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    • pp.86-91
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    • 2002
  • This study introduces a method that selects equipments, so as to reach the reliability level, carrying out an optimization analysis which considers the reliability data and cost of the equipments. A more practical optimization problem has been formed using the object function based on the discrete function and the constraints. The jacked reactor being the subject, an optimization analysis was performed on equipments that have different failure rates depending on costs in order to reach the target reliability level required by the system. The mixed-integer programming (MIP) was used for this optimization analysis. When the jacked reactors target level of reliability was $1.65{\times}10^{-4}$, the result of the analysis showed the equipments with high cost and low failure rate were selected. However when the target level of reliability was low, the result showed that by choosing the equipments with lower cost and reliability over the more expensive one, the desired target level could be reached.

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Analysis of regionally centralized and decentralized multistage reverse logistics networks using genetic algorithm (유전알고리즘을 이용한 지역 집중형 및 분산형 다단계 역물류 네트워크 분석)

  • Yun, YoungSu
    • Journal of Korea Society of Industrial Information Systems
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    • v.19 no.4
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    • pp.87-104
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    • 2014
  • This paper proposes regionally centralized multistage reverse logistics (cmRL) networks and regionally decentralized multistage reverse logistics (dmRL) networks. cmRL considers whole area of RL network, while dmRL regionally distributed area of RL network. Each type is formulated by the mixed integer programming (MIP) models, which are realized in genetic algorithm (GA) approach. Two types of numerical experiments using RL network are presented and various measures of performance are used for comparing the efficiency of the cmRL and the dmRL. Finally, it is proved that the performance of the cmRL is superior to that of the dmRL.