• Title/Summary/Keyword: Mixed Integer Programming Model

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An Optimal Routing for Point to Multipoint Connection Traffics in ATM Networks (일대다 연결 고려한 ATM 망에서의 최적 루팅)

  • Chung, Sung-Jin;Hong, Sung-Pil;Chung, Hoo-Sang;Kim, Ji-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.500-509
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    • 1999
  • In this paper, we consider an optimal routing problem when point-to-point and point-to-multipoint connection traffics are offered in an ATM network. We propose a mathematical model for cost-minimizing configuration of a logical network for a given ATM-based BISDN. Our model is essentially identical to the previous one proposed by Kim(Kim, 1996) which finds a virtual-path configuration where the relevant gains obtainable from the ATM technology such as the statistical multiplexing gain and the switching/control cost-saving gain are optimally traded-off. Unlike the Kim's model, however, ours explicitly considers the VP's QoS(Quality of Service) for more efficient utilization of bandwidth. The problem is a large-scale, nonlinear, and mixed-integer problem. The proposed algorithm is based on the local linearization of equivalent-capacity functions and the relaxation of link capacity constraints. As a result, the problem can be decomposed into moderate-sized shortest path problems, Steiner arborescence problems, and LPs. This fact renders our algorithm a lot faster than the previous nonlinear programming algorithm while the solution quality is maintained, hence application to large-scale network problems.

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The Operational Optimization of Semiconductor Research and Development Fabs by FAB-wide Scheduling (FAB-Wide 스케줄링을 통한 반도체 연구라인의 운용 최적화)

  • Kim, Young-Ho;Lee, Jee-Hyong;Sun, Dong-Seok
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.4
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    • pp.692-699
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    • 2008
  • Semiconductor research and development(R&D) fabs are very different than production fabs in many ways such as the scales of production, job priority, production methods, and performance measures. Efficient operations of R&D fabs are very important to the development of new product, process stability, high yield, and ultimately company competitiveness. This paper proposes the fab-wide scheduling method for operational optimization of the R&D fabs. Most scheduling systems of semiconductor fabs have only focused on maximizing throughput of each separated areas without considering WIP(works in process) flows of entire fab. In this paper, we proposes the a fab-wide scheduling system which schedules all lots to entire fab equipment at once. We develop the MIP(mixed integer programing) model which allocates the lots to production equipment considering many constraints of all processes and the CP(constraint programming) model which determines the sequences of the lots in the production equipment. The proposed FAB-wide scheduling model is applied to the newly constructed R&D fab. As a result, we have accomplished the system based automated job reservation, decrease of the hot lot delay, increase of the queue time satisfaction, the high throughput by maximizing the batch sizes, decrease of the WIP TAT(Turn Around Time).

A Study on Revising Train Departure Time for Reducing Electric Power Consumption (전력소비완화를 위한 전동열차 출발시간 조정에 관한 연구)

  • Kim, Kwang-Tae;Kim, Kyung-Min;Hong, Soon-Heum
    • Journal of the Korean Society for Railway
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    • v.14 no.2
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    • pp.167-173
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    • 2011
  • This paper considers the problem of revising train departure time to reduce electric power consumption of mass rapid transit (MRT) railways. The motion of a train running between stations is divided into three phases: traction, coasting, and deceleration phases. The traction phase requires high electric power to operate MRT railways. In the coasting phase, the train moves stably by consuming little or no power. The deceleration phase is a braking mode and produces some electric power called regenerated brake power owing to inertia force for the train generated In the traction and coasting phases. The regenerative energy can be used by other accelerating trains within a specific range from the train and thereby the power consumptions of train can be reduced. We developed a mixed integer programming model to solve the problem. To validate the suggested model, a computational experiment was conducted using real data from Korea Metropolitan Subway.

Development of a Daily Reservoir Operating Model for Nakdong-River Basin (낙동강수계 일별 저수지군 최적 운영 모형 개발)

  • Lee YongDae;Cho Namwoong;Kim Jaehee;Park Myung-ky;Kim Sheung-Kown
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.284-288
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    • 2005
  • 본 연구에서는 낙동강수계 일별 운영 계획 수립을 위한 저수지군 최적 연계운영 모형(CoMOM, Coordinated Multiple Reservoir Operating Model)을 개발하였다. 이를 위하여 동적 네트워크 흐름 모형을 기반으로 한 다중목적 혼합 정수 목표계획 모형 (MOMIGP, Multiple Objective Mixed Integer Goal-Programming)을 수립하였다. 이 모형은 월말 목표 수위 및 운영 제약 등을 목표 계획법으로 구성하였으며, 일별 운영의 특성을 고려하여 하도추적의 효과를 반영하였고, 선형화된 발전함수를 이용하여 발전량을 최대화 하도록 한 후 정확한 발전량을 사후에 산정하였다. 이와 같이 수립된 수학 모형을 GUI를 비롯한 프로그램(CoMOM)으로 개발하여 사용자가 편리하게 수행 할 수 있도록 하였다. 이 프로그램은 의사결정자의 운영 목표와 의도를 효과적으로 반영할 수 있도록 대화형 목표 계획법을 구현하였으며, 상충되는 여러 목적에 대하여 가능한 파래토(Pareto) 최적해를 제시하고 의사결정자가 가장 선호하는 해를 선택하도록 대화형 다중목적 계획법 CBITP(Convex hull of individual maxima Based Interactive Tchebycheff Procedure)를 활용하여 구현하였다. 한편 객체지항적 프로그램 기법을 활용하여 수계 내의 노드(저수지, 수요지, 발전소 등)를 추가 하거나 삭제 할 수 있도록 하여, 다른 수계로의 확장이 용이하도록 개발하였다.

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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.

An Adaptive Genetic Algorithm for a Dynamic Lot-sizing and Dispatching Problem with Multiple Vehicle Types and Delivery Time Windows (다종의 차량과 납품시간창을 고려한 동적 로트크기 결정 및 디스패칭 문제를 위한 자율유전알고리즘)

  • Kim, Byung-Soo;Lee, Woon-Seek
    • Journal of Korean Institute of Industrial Engineers
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    • v.37 no.4
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    • pp.331-341
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    • 2011
  • This paper considers an inbound lot-sizing and outbound dispatching problem for a single product in a thirdparty logistics (3PL) distribution center. Demands are dynamic and finite over the discrete time horizon, and moreover, each demand has a delivery time window which is the time interval with the dates between the earliest and the latest delivery dates All the product amounts must be delivered to the customer in the time window. Ordered products are shipped by multiple vehicle types and the freight cost is proportional to the vehicle-types and the number of vehicles used. First, we formulate a mixed integer programming model. Since it is difficult to solve the model as the size of real problem being very large, we design a conventional genetic algorithm with a local search heuristic (HGA) and an improved genetic algorithm called adaptive genetic algorithm (AGA). AGA spontaneously adjusts crossover and mutation rate depending upon the status of current population. Finally, we conduct some computational experiments to evaluate the performance of AGA with HGA.

Model and Algorithm for Logistics Network Integrating Forward and Reverse Flows (역물류를 고려한 통합 물류망 구축에 대한 모델 및 해법에 관한 연구)

  • Ko Hyun Jeung;Ko Chang Seong;Chung Ki Ho
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.375-388
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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 these 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, the 3PLs 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 this network design problem belongs to a class of NP-hard problems, we present an efficient heuristic based on Lagrangean relaxation and apply it to numerical examples to test the validity of proposed heuristic.

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Branch-and-Bound Based Heuristic Scheduling for the Single-Hoist and Multiple-Products Production System (단일 호이스트 생산시스템에서 다양한 주문을 처리하기 위한 분지한계 기반의 휴리스틱 일정계획)

  • Lee, Jungkoo;Kim, Jeongbae;Koh, Shiegheun
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.3
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    • pp.173-181
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    • 2016
  • This paper deals with the single-hoist and multiple-products scheduling problem. Although a mixed integer linear programming model for the problem was developed earlier, a branch-and-bound based heuristic algorithm is proposed in this paper to solve the big-size problems in real situation. The algorithm is capable of handling problems incorporating different product types, jobs in the process, and tank capacities. Using a small example problem the procedure of the heuristic algorithm is explained. To assess the performance of the heuristic we generate a bigger example problem and compare the results of the algorithm proposed in this paper with the optimal solutions derived from the mathematical model of earlier research. The comparison shows that the heuristic has very good performance and the computation time is sufficiently short to use the algorithm in real situation.

A Joint Allocation Algorithm of Computing and Communication Resources Based on Reinforcement Learning in MEC System

  • Liu, Qinghua;Li, Qingping
    • Journal of Information Processing Systems
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    • v.17 no.4
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    • pp.721-736
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    • 2021
  • For the mobile edge computing (MEC) system supporting dense network, a joint allocation algorithm of computing and communication resources based on reinforcement learning is proposed. The energy consumption of task execution is defined as the maximum energy consumption of each user's task execution in the system. Considering the constraints of task unloading, power allocation, transmission rate and calculation resource allocation, the problem of joint task unloading and resource allocation is modeled as a problem of maximum task execution energy consumption minimization. As a mixed integer nonlinear programming problem, it is difficult to be directly solve by traditional optimization methods. This paper uses reinforcement learning algorithm to solve this problem. Then, the Markov decision-making process and the theoretical basis of reinforcement learning are introduced to provide a theoretical basis for the algorithm simulation experiment. Based on the algorithm of reinforcement learning and joint allocation of communication resources, the joint optimization of data task unloading and power control strategy is carried out for each terminal device, and the local computing model and task unloading model are built. The simulation results show that the total task computation cost of the proposed algorithm is 5%-10% less than that of the two comparison algorithms under the same task input. At the same time, the total task computation cost of the proposed algorithm is more than 5% less than that of the two new comparison algorithms.

Optimization of Multi-reservoir Operation with a Hedging Rule: Case Study of the Han River Basin (Hedging Rule을 이용한 댐 연계 운영 최적화: 한강수계 사례연구)

  • Ryu, Gwan-Hyeong;Chung, Gun-Hui;Lee, Jung-Ho;Kim, Joong-Hoon
    • Journal of Korea Water Resources Association
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    • v.42 no.8
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    • pp.643-657
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    • 2009
  • The major reason to construct large dams is to store surplus water during rainy seasons and utilize it for water supply in dry seasons. Reservoir storage has to meet a pre-defined target to satisfy water demands and cope with a dry season when the availability of water resources are limited temporally as well as spatially. In this study, a Hedging rule that reduces total reservoir outflow as drought starts is applied to alleviate severe water shortages. Five stages for reducing outflow based on the current reservoir storage are proposed as the Hedging rule. The objective function is to minimize the total discrepancies between the target and actual reservoir storage, water supply and demand, and required minimum river discharge and actual river flow. Mixed Integer Linear Programming (MILP) is used to develop a multi-reservoir operation system with the Hedging rule. The developed system is applied for the Han River basin that includes four multi-purpose dams and one water supplying reservoir. One of the fours dams is primarily for power generation. Ten-day-based runoff from subbasins and water demand in 2003 and water supply plan to water users from the reservoirs are used from "Long Term Comprehensive Plan for Water Resources in Korea" and "Practical Handbook of Dam Operation in Korea", respectively. The model was optimized by GAMS/CPLEX which is LP/MIP solver using a branch-and-cut algorithm. As results, 99.99% of municipal demand, 99.91% of agricultural demand and 100.00% of minimum river discharge were satisfied and, at the same time, dam storage compared to the storage efficiency increased 10.04% which is a real operation data in 2003.