• Title/Summary/Keyword: mixed integer programming

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Robust production and transportation planning for TFT-LCD industry under demand and price uncertainties using scenario model (시나리오 모델을 활용한 수요 및 가격 불확실성이 존재하는 TFT-LCD 산업에서의 Robust 생산 및 수송계획)

  • Shin, Hyun-Joon;Ru, Jae-Pil
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.9
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    • pp.3304-3310
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    • 2010
  • This study solves the decision making problems for TFT-LCD manufacturing supply chain with demand and price uncertainties by establishing robust production and distribution strategies. In order to control the decisions regarding production graded by quality, inventory level and distribution, this study develop scenario model based stochastic mixed integer linear programs (SMILPs) that consider demand and price uncertainties as well as realistic constraints such as capacities etc. The performance of the solution obtained from the SMILPs using robust algorithms will be evaluated through various scenarios.

A Study on Aircraft-Target Assignment Problem in Consideration of Deconfliction (최적화와 분할 방법을 이용한 항공기 표적 할당 연구)

  • Lee, Hyuk;Lee, Young Hoon;Kim, Sun Hoon
    • Korean Management Science Review
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    • v.32 no.1
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    • pp.49-63
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    • 2015
  • This paper investigates an aircraft-target assignment problem in consideration of deconfliction. The aircraft-target assignment problem is the problem to assign available aircrafts and weapons to targets that should be attacked, where the objective function is to minimize the total expected damage of aircrafts. Deconfliction is the way of dividing airspaces for aircraft flight to ensure the safety while performing the mission. In this paper, mixed integer programming model is suggested, where it considers deconfliction between aircrafts. However, the suggested MIP model is non-linear and limited to get solution for large size problem. The 2-phase decomposition model is suggested for efficiency and computation, where in the first phase target area is divided into sectors for deconfliction and in the second phase aircrafts and weapons are assigned to given targets for minimizing expected damage of aircraft. The proposed decomposition model shows outperforms the model developed for comparison in the computational experiment.

A Genetic Algorithm Approach for Logistics Network Integrating Forward and Reverse Flows (역물류를 고려한 통합 물류망 구축을 위한 유전 알고리듬 해법)

  • Ko, Hyun-Jeung;Ko, Chang-Seong;Chung, Ki-Ho
    • IE interfaces
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    • v.17 no.spc
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    • pp.141-151
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    • 2004
  • As today's business environment has become more and more competitive, forward as well as backward flows of products among members belonging to a supply chain have been increased. The backward flows of products, which are common in most industries, result from increasing amount of products that are returned, recalled, or need to be repaired. Effective management for the backward flows of products has become an important issue for businesses because of opportunities for simultaneously enhancing profitability and customer satisfaction from returned products. Since third party logistics service providers (3PLs) are playing an important role in reverse logistics operations, they should perform two simultaneous logistics operations for a number of different clients who want to improve their logistics operations for both forward and reverse flows. In this case, distribution networks have been independently designed with respect to either forward or backward flows so far. This paper proposes a mixed integer programming model for the design of network integrating both forward and reverse logistics. Since the network design problem belongs to a class of NP-hard problems, we present an efficient heuristic algorithm based on genetic algorithm (GA), of which the performance is compared to the lower bound by Lagrangian relaxation. Finally, the validity of proposed algorithm is tested using numerical examples.

Oil Tank Location Problem Solving with Mixed Integer Programming & GIS (혼합정수계획법 및 GIS를 활용한 유류저장탱크의 입지선정)

  • 최기주;김숙희;신강원
    • Journal of Korean Society of Transportation
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    • v.19 no.5
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    • pp.99-108
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    • 2001
  • A framework of using and integrating GIS and OR tools for determining the best site selection has been provided. In this research, we demonstrated that both the P-Median heuristic method and MIP method can be successfully applied to the optimum site selection problem of oil tank location selection. Furthermore, the results identified by both approaches are identical. To accomplish this, both GIS road and maritime networks have been constructed and combined to calculated the minimum distance matrix, which is required by both approaches. After the application to the Korean peninsula, the facility locations chosen are Kunsan, Yosu, Busan, and Okgye for each district. As has been shown, the power of GIS and both algorithm have been demonstrated throughout the research and further similar research can also be conducted using the power of GIS and Operations Research tools.

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A Service Network Design Model for Less-than-Truckload Freight Transportation (소화물 운송 서비스 네트웍 설계 모형 연구)

  • 김병종;이영혁
    • Journal of Korean Society of Transportation
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    • v.17 no.5
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    • pp.111-122
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    • 1999
  • A service network design model for LTL freight transportation is formulated as a mixed integer Programming Problem with two heuristic solution a1gorithms. The Proposed model derives the transportation Path for each origination-destination pair, taking into account transportation cost over the links and handling costs over the nodes. The first algorithm searches for a local minimum solution from a given initial solution by improving the quality of solution repeatedly while the second a1gorithm searches for a better solution using Simulated Annealing Method. For both solution algorithms, the initial solution is derived by a modified reverse Diikstras shortest Path a1gorithm. An illustrative example, Presented in the last part of the Paper, shows that the proposed algorithms find solutions which reduce the cost by 12% and 15% respectively, compared to the initial solution.

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A Study on Multi-criteria Trade-off Structure between Throughput and WIP Balancing for Semiconductor Scheduling (반도체/LCD 스케줄링의 다목적기준 간 트레이드 오프 구조에 대한 연구)

  • Kim, Kwanghee;Chung, Jaewoo
    • Korean Management Science Review
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    • v.32 no.4
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    • pp.69-80
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    • 2015
  • The semiconductor industry is one of those in which the most intricate processes are involved and there are many critical factors that are controlled with precision in those processes. Naturally production scheduling in the semiconductor industry is also very complex and studied by the industry and academia for many years; however, still there are many issues left unclear in the problem. This paper proposes an multi-objective optimization-based scheduling method for semiconductor fabrication(fab). Two main objectives are throughput maximization and meeting target production quantities. The first objective aims to reduce production cost, especially the fixed cost incurred by a large investment constructing a new fab facility. The other is meeting customer orders on time and also helps a fab maintain stable throughput through controlled WIP balancing in the long run. The paper shows a trade-off structure between the two objectives through experimental studies, which provides industrial practitioners with useful references.

A Heuristic for Vendor-managed Inventory/Distribution Problems in the Retail Supply Chain (소매점 공급사슬에서 공급자주도 재고/분배 문제를 위한 발견적 해석)

  • Hong, Sung-Chul;Park, Yang-Byung
    • Korean Management Science Review
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    • v.25 no.1
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    • pp.107-121
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    • 2008
  • As to more efficiently manage the inventory in the retail supply chain and to meet the customer demand in a timely manner, vendor-managed inventory (VMI) has been widely accepted, which manages inventory in the retail supply chain via sharing information and collaborating with the retailers. Applying VMI generates vendor-managed inventory/distribution problem (VMIDP), which involves inventory management for both the vendor and the retailers, and the design of vehicle routes for delivery, to minimize the total operating cost in the supply chain. In this paper, we suggest a mixed integer programming (MIP) model to obtain the optimal solution for VMIDP in a two-echelon retail supply chain, and develop an efficient heuristic based on the operating principles of the MIP model. To evaluate the performance of the heuristic, its solution was compared with the one of the MIP model on a total of twenty seven test problems. As a result, the heuristic found optimal solutions on seven problems in a significantly reduced time, and generated a 4.3% error rate of total cost in average for all problems. The heuristic is applied to the case problem of the local famous franchise company together with GIS, showing that it is capable of providing a solution efficiently in a relatively short time even in the real world situation.

Humanitarian Relief Logistics with Time Restriction: Thai Flooding Case Study

  • Manopiniwes, Wapee;Nagasawa, Keisuke;Irohara, Takashi
    • Industrial Engineering and Management Systems
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    • v.13 no.4
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    • pp.398-407
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    • 2014
  • Shortages and delays in a humanitarian logistics system can contribute to the pain and suffering of survivors or other affected people. Humanitarian logistics budgets should be sufficient to prevent such shortages or delays. Unlike commercial supply chain systems, the budgets for relief supply chain systems should be able to satisfy demand. This study describes a comprehensive model in an effort to satisfy the total relief demand by minimizing logistics operations costs. We herein propose a strategic model which determines the locations of distribution centers and the total inventory to be stocked for each distribution center where a flood or other catastrophe may occur. The proposed model is formulated and solved as a mixed-integer programming problem that integrates facility location and inventory decisions by considering capacity constraints and time restrictions in order to minimize the total cost of relief operations. The proposed model is then applied to a real flood case involving 47 disaster areas and 13 distribution centers in Thailand. Finally, we discuss the sensitivity analysis of the model and the managerial implications of this research.

Airport Security Process Improving for Advanced Operation and Smart Airport Framework Design (공항 운영 효율성 향상을 위한 보안검색 프로세스 개선 및 스마트 공항 프레임워크 설계)

  • Lee, Jaewhan;Im, Hyeonu;Sohn, Seichang;Ko, Seungyoon;Hong, Ki-Sung;Choi, Sanggyun;Seo, Sangwon;Lee, Chulung
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.2
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    • pp.129-134
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    • 2013
  • The airport processes are restricted by some limits of performance objects as size of airport, ability of human resources, capacity of facilities and operational rules. These limitations make passenger handling difficult when passenger numbers increase. In order to solve this problem, we modeled the airport process and analyzed departure passenger arrival, scheduled security manpower under specific customer service level maintenance with mixed integer programming and validate the efficiency with simulation with adapting smart airport framework. We concluded that the airport management with information techniques can reduce waiting time within security and immigration process.

The Use of Particle Swarm Optimization for Order Allocation Under Multiple Capacitated Sourcing and Quantity Discounts

  • Ting, Ching-Jung;Tsai, Chi-Yang;Yeh, Li-Wen
    • Industrial Engineering and Management Systems
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    • v.6 no.2
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    • pp.136-145
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    • 2007
  • The selection of suppliers and the determination of order quantities to be placed with those suppliers are important decisions in a supply chain. In this research, a non-linear mixed integer programming model is presented to select suppliers and determine the order quantities. The model considers the purchasing cost which takes into account quantity discount, the cost of transportation, the fixed cost for establishing suppliers, the cost for holding inventory, and the cost of receiving poor quality parts. The capacity constraints for suppliers, quality and lead-time requirements for the parts are also taken into account in the model. Since the purchasing cost, which is a decreasing step function of order quantities, introduces discontinuities to the non-linear objective function, it is not easy to employ traditional optimization methods. Thus, a heuristic algorithm, called particle swarm optimization (PSO), is used to find the (near) optimal solution. However, PSO usually generates initial solutions randomly. To improve the PSO solution quality, a heuristic procedure is proposed to find an initial solution based on the average unit cost including transportation, purchasing, inventory, and poor quality part cost. The results show that PSO with the proposed initial solution heuristic provides better solutions than those with PSO algorithm only.