• Title/Summary/Keyword: mixed-integer programming

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Development of Genetic Algorithm for Production and Distribution Management in Multiple Supplier Network Environment of Robot Engineering Industry (로봇 산업의 다중 공급망 환경을 고려한 생산 및 분배 관리를 위한 유전 알고리듬 개발)

  • Jo, Sung-Min;Kim, Tai-Young;Hwang, Seung-June
    • Journal of Information Technology Applications and Management
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    • v.20 no.2
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    • pp.147-160
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    • 2013
  • Today, the management environments of intelligence firm are changing the way of production planning and logistics management, and are changing the process of supply chain management system. This paper shows the development of information system software for intelligence enterprises is used in supply chain management for robot engineering industry. Specifically, supply chain management system in this paper has been developed to analyze the impact of multi plant and multi distribution environment, showing the process analysis and system development of hierarchical assembly manufacturing industry. In this paper we consider a production planning and distribution management system of intelligence firm in the supply chain. We focus on a capacitated production resource and distribution volume allocation problem, develop a mixed integer programming model, and propose an efficient heuristic procedure using a genetic algorithm to solve it efficiently. This method makes it possible for the population to reach the feasible approximate solution easily. The proposed regeneration procedures, which evaluate each infeasible chromosome, makes the solution converge to the feasible approximate solution quickly.

The Effect on a Delivery Time Window Dispatching Policy for 3PL Distribution Center (제3자 물류센터 납품시간창 디스패칭 정책에 관한 효과)

  • Lee, Woon-Seek;Kim, Byung Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.1
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    • pp.60-67
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    • 2014
  • This paper considers an inbound ordering and outbound dispatching problem for multi-products and multi-vehicles in a third-party distribution center. The demands are dynamic over a discrete and finite time horizon, and replenishing orders are shipped in various transportation modes and the freight cost is proportional to the number of vehicles used. Any mixture of products is loaded onto any type of vehicles. The objective of the study is to simultaneously determine the inbound lot-sizes, the outbound dispatching sizes, and the types and numbers of vehicles used to minimize total costs, which consist of inventory holding cost and freight cost. Delivery time window is one of the general dispatching policies between a third-party distribution center and customers in practice. In the policy, each demand of product for a customer must be delivered within the time window without penalty cost. We derive mixed integer programming models for the dispatching policy with delivery time windows and on-time delivery dispatching policy, respectively and analyze the effect on a dispatching policy with delivery time windows by comparing with on-time delivery dispatching policy using various computational experiments.

Spectrum Leasing and Cooperative Resource Allocation in Cognitive OFDMA Networks

  • Tao, Meixia;Liu, Yuan
    • Journal of Communications and Networks
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    • v.15 no.1
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    • pp.102-110
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    • 2013
  • This paper considers a cooperative orthogonal frequency division multiple access (OFDMA)-based cognitive radio network where the primary system leases some of its subchannels to the secondary system for a fraction of time in exchange for the secondary users (SUs) assisting the transmission of primary users (PUs) as relays. Our aim is to determine the cooperation strategies among the primary and secondary systems so as to maximize the sum-rate of SUs while maintaining quality-of-service (QoS) requirements of PUs. We formulate a joint optimization problem of PU transmission mode selection, SU (or relay) selection, subcarrier assignment, power control, and time allocation. By applying dual method, this mixed integer programming problem is decomposed into parallel per-subcarrier subproblems, with each determining the cooperation strategy between one PU and one SU. We show that, on each leased subcarrier, the optimal strategy is to let a SU exclusively act as a relay or transmit for itself. This result is fundamentally different from the conventional spectrum leasing in single-channel systems where a SU must transmit a fraction of time for itself if it helps the PU's transmission. We then propose a subgradient-based algorithm to find the asymptotically optimal solution to the primal problem in polynomial time. Simulation results demonstrate that the proposed algorithm can significantly enhance the network performance.

A Location-Routing Problem for Logistics Network Integrating Forward and Reverse Flow (역물류를 고려한 통합물류망에서의 입지:경로문제)

  • Na, Ho-Young;Lee, Sang-Heon
    • IE interfaces
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    • v.22 no.2
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    • pp.153-164
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    • 2009
  • An effective management for reverse flows of products such as reuse, repair and disposal, has become an important issue for every aspect of business. In this paper, we study the Location-Routing Problem (LRP) in the multi-stage closed-loop supply chain network. The closed-loop supply chain in this study integrated both forward and reverse flows. In forward flow, a factory, Distribution Center (DC) and retailer are considered as usual. Additionally in reverse flow, we consider the Central Returns collection Center (CRC) and disposal facility. We propose a mixed integer programming model for the design of closed-loop supply chain integrating both forward and reverse flows. Since the LRP belongs to an NP-hard problem, we suggest a heuristic algorithm based on genetic algorithm. For some test problems, we found the optimal locations and routes by changing the numbers of retailers and facility candidates. Furthermore, we compare the efficiencies between open-loop and closed-loop supply chain networks. The results show that the closed-loop design is better than the open one in respect to the total routing distance and cost. This phenomenon enlarges the cut down effect on cost as an experimental space become larger.

A Study on Optimal Operation of Microgrid Considering the Probabilistic Characteristics of Renewable Energy Generation and Emissions Trading Scheme (신재생에너지발전의 확률적인 특성과 탄소배출권을 고려한 마이크로그리드 최적 운용)

  • Kim, Ji-Hoon;Lee, Byung Ha
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.1
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    • pp.18-26
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    • 2014
  • A microgrid can play a significant role for enlargement of renewable energy sources and emission reduction because it is a network of small, distributed electrical power generators operated as a collective unit. In this paper, an application of optimization method to economical operation of a microgrid is studied. The microgrid to be studied here is composed of distributed generation system(DGS), battery systems and loads. The distributed generation systems include combined heat and power(CHP) and small generators such as diesel generators and the renewable energy generators such as photovoltaic(PV) systems, wind power systems. Both of thermal loads and electrical loads are included here as loads. Also the emissions trading scheme to be applied in near future, the cost of unit start-up and the operational characteristics of battery systems are considered as well as the probabilistic characteristics of the renewable energy generation and load. A mathematical equation for optimal operation of this system is modeled based on the mixed integer programming. It is shown that this optimization methodology can be effectively used for economical operation of a microgrid by the case studies.

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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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.

Optimization of Long-term Generator Maintenance Scheduling considering Network Congestion and Equivalent Operating Hours (송전제약과 등가운전시간을 고려한 장기 예방정비계획 최적화에 관한 연구)

  • Shin, Hansol;Kim, Hyoungtae;Lee, Sungwoo;Kim, Wook
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.2
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    • pp.305-314
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    • 2017
  • Most of the existing researches on systemwide optimization of generator maintenance scheduling do not consider the equivalent operating hours(EOHs) mainly due to the difficulties of calculating the EOHs of the CCGTs in the large scale system. In order to estimate the EOHs not only the operating hours but also the number of start-up/shutdown during the planning period should be estimated, which requires the mathematical model to incorporate the economic dispatch model and unit commitment model. The model is inherently modelled as a large scale mixed-integer nonlinear programming problem and the computation time increases exponentially and intractable as the system size grows. To make the problem tractable, this paper proposes an EOH calculation based on demand grouping by K-means clustering algorithm. Network congestion is also considered in order to improve the accuracy of EOH calculation. This proposed method is applied to the actual Korean electricity market and compared to other existing methods.

Effect of Continuity Rate on Multistage Logistic Network Optimization under Disruption Risk

  • Rusman, Muhammad;Shimizu, Yoshiaki
    • Industrial Engineering and Management Systems
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    • v.12 no.2
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    • pp.74-84
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    • 2013
  • Modern companies have been facing devastating impacts from unexpected events such as demand uncertainties, natural disasters, and terrorist attacks due to the increasing global supply chain complexity. This paper proposes a multi stage logistic network model under disruption risk. To formulate the problem practically, we consider the effect of continuity rate, which is defined as a percentage of ability of the facility to provide backup allocation to customers in the abnormal situation and affect the investments and operational costs. Then we vary the fixed charge for opening facilities and the operational cost according to the continuity rate. The operational level of the company decreases below the normal condition when disruption occurs. The backup source after the disrup-tion is recovered not only as soon as possible, but also as much as possible. This is a concept of the business continuity plan to reduce the recovery time objective such a continuity rate will affect the investments and op-erational costs. Through numerical experiments, we have shown the proposed idea is capable of designing a resilient logistic network available for business continuity management/plan.

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).