• Title/Summary/Keyword: Mixed Integer Programming Model

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An Optimization Approach for a Spanning Tree-Based Compactness Measure in Contiguous Land Acquisition Problems (토지 획득 문제에서 공간적 밀집도 측정을 위한 최적화 연구)

  • Kim, Myung-Jin;Xiao, Ningchuan
    • Journal of the Korean Geographical Society
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    • v.46 no.6
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    • pp.724-737
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    • 2011
  • The goal of solving a contiguous land acquisition problem is to find an optimal cluster of land parcels so that one can move from an acquired parcel to another without leaving the cluster. In many urban and regional planning applications, criteria such as acquisition cost and compactness of acquired parcels are important. Recent research has demonstrated that spatial contiguity can be formulated in a mixed integer programming framework. Spatial compactness, however, is typically formulated in an approximate manner using parameters such as external border length or other shape indices of acquired land parcels. This paper first develops an alternative measure of spatial compactness utilizing the characteristics of the internal structure of a contiguous set of land parcels and then incorporates this new measure into a mixed integer program of contiguous land acquisition problems. A set of computational experiments are designed to demonstrate the use of our model in a land acquisition context.

Yard Crane Dispatching for Remarshalling in an Automated Container Terminal (자동화 컨테이너 터미널에서 이적작업을 위한 장치장 크레인 작업할당)

  • Bae, Jong-Wook;Park, Young-Man
    • Journal of Navigation and Port Research
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    • v.36 no.8
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    • pp.665-671
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    • 2012
  • A remarshalling is studied as an important operational strategy in an automated container terminal to enhance the productivity of container handling. This means the rearrangements of the containers scattered at a vertical yard block. The dispatching problem for remarshalling is selecting the remarshalling operation considering the available operation time and deciding the operation sequencing to maximize the effectiveness of remarshalling. This study develops the optimal mathematical model for yard crane dispatching problem with mixed integer program and explains dispatching problem using an example. However it is difficult to apply this model to a field problem because of its computational time. Therefore, we compare the representative 5 dispatching rules for real world adaption. In a numerical experiment, maximum weight ratio(MR) rule shows an overall outstanding performance.

Optimizing Assembly Line Balancing Problems with Soft Constraints (소프트 제약을 포함하는 조립라인 밸런싱 문제 최적화)

  • Choi, Seong-Hoon;Lee, Geun-Cheol
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.2
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    • pp.105-116
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    • 2018
  • In this study, we consider the assembly line balancing (ALB) problem which is known as an very important decision dealing with the optimal design of assembly lines. We consider ALB problems with soft constraints which are expected to be fulfilled, however they are not necessarily to be satisfied always and they are difficult to be presented in exact quantitative forms. In previous studies, most researches have dealt with hard constraints which should be satisfied at all time in ALB problems. In this study, we modify the mixed integer programming model of the problem introduced in the existing study where the problem was first considered. Based on the modified model, we propose a new algorithm using the genetic algorithm (GA). In the algorithm, new features like, a mixed initial population selection method composed of the random selection method and the elite solutions of the simple ALB problem, a fitness evaluation method based on achievement ratio are applied. In addition, we select the genetic operators and parameters which are appropriate for the soft assignment constraints through the preliminary tests. From the results of the computational experiments, it is shown that the proposed algorithm generated the solutions with the high achievement ratio of the soft constraints.

Development of A System Optimum Traffic Control Strategy with Cell Transmission Model (Cell Transmission 이론에 근거한 시스템최적 신호시간산정)

  • 이광훈;신성일
    • Journal of Korean Society of Transportation
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    • v.20 no.5
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    • pp.193-206
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    • 2002
  • A signal optimization model is proposed by applying the Cell-Transmission Model(CTM) as an embedded traffic flow model to estimate a system-optimal signal timing plan in a transportation network composed of signalized intersections. Beyond the existing signal-optimization models, the CTM provides appropriate theoretical and practical backgrounds to simulate oversaturation phenomena such as shockwave, queue length, and spillback. The model is formulated on the Mixed-Integer Programming(MIP) theory. The proposed model implies a system-optimal in a sense that traffic demand and signal system cooperate to minimize the traffic network cost: the demand departing from origins through route choice behavior until arriving at destinations and the signal system by calculating optimal signal timings considering the movement of these demand. The potential of model's practical application is demonstrated through a comparison study of two signal control strategies: optimal and fixed signal controls.

Heuristic Algorithms for Minimizing Flowtime in the 2-Stage Assembly Flowshop Scheduling (부품 생산과 조립으로 구성된 2단계 조립 일정계획의 Flowtime 최소화 연구)

  • Lee, Ik-Sun;Yoon, Sang-Hum;Ha, Gui-Ryong;Juhn, Jae-Ho
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.4
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    • pp.45-57
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    • 2010
  • This paper considers a 2-stage assembly flowshop scheduling problem where each job is completed by assembling multiple components. The problem has the objective measure of minimizing total completion time. The problem is shown to be NP-complete in the strong sense. Thus, we derive some solution properties and propose three heuristic algorithms. Also, a mixed-integer programming model is developed and used to generate a lower bound for evaluating the performance of proposed heuristics. Numerical experiments demonstrate that the proposed heuristics are superior over those of previous research.

AN APPLICATION OF LAGRANGIAN RELAXATION ALD SUBGRADIENT METHOD FOR A DYNAMIC UNCAPAITATED FACILITY COCATION PROBLEM

  • Song, Jae-Wook;Kim, Sheung-Kown
    • Journal of the Korean Operations Research and Management Science Society
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    • v.13 no.2
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    • pp.47-58
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    • 1988
  • The dynamic uncapacitated facility location model is formulated by a mixed integer programming. It has the objective of minimizing total discounted costs for meeting demands specified in different time periods at various demand centers. Costs include those for operation of facilities to demand centers and a fixed cost associated with the capital investment. The problem is decomposed into two simple Lagrangian relaxed subproblems which are coordinated by Lagrangian multipliers. We explored the effect of using the subgradient optimization procedure and a viable solution approach is proposed. Computational results are presented and further research directions are discussed.

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A Heuristic Algorithm for Minimizing Maintenance Workforce Level (정비작업 인력 수준 최소화를 위한 발견적 기법)

  • Chang, Soo-Y.;Hong, Yu-Shin;Kim, Jung-Hoe;Kim, Se-Rae
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.1
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    • pp.47-55
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    • 1999
  • This paper develops an efficient heuristic algorithm for scheduling workforce level that can accommodate all the requested maintenance jobs. Each job has its own release and due dates as well as man-day requirement, and must be scheduled in a non-interrupted time interval, namely, without preemption. Duration of each job is not fixed, but to be determined within given specific range. The objective is to minimize workforce level to complete all the requested maintenance jobs. We show that the problem can be seen as a variant of the two-dimensional bin-packing problem with some additional constraints. A non-linear mixed integer programming model for the problem is developed, and an efficient heuristic algorithm based on bin-packing algorithms is proposed. In order to evaluate goodness of the solution obtained from the proposed algorithm, a scheme for getting a good lower bound for the optimum solution is presented and analyzed. The computational experiment shows that the proposed algorithm performs quite satisfactorily.

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A Genetic Algorithm for the Container Pick-Up Problem (컨테이너 픽업문제를 위한 유전자 알고리듬)

  • Lee, Shi-W.
    • IE interfaces
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    • v.24 no.4
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    • pp.362-372
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    • 2011
  • Container pick-up scheduling problem is to minimize the total container handling time, which consists of the traveling distance and the setup time of yard cranes in a container yard. Yard cranes have to pick-up the containers which are stacked in the yard-bays to satisfy the work schedule requirement of quay crane, which loads and unloads containers on or from container ships. This paper allows the movement of multiple yard cranes among storage blocks. A mixed integer programming model has been formulated and a genetic algorithm (GA) has been proposed to solve problems of large sizes. Computational results show that the proposed GA is an effective method.

A Truck Dispatching Problem in the Inland Container Transportation with Empty Container (공 컨테이너를 고려한 컨테이너 내륙수송에서의 차량배차문제)

  • 윤원영;안창근;최용석
    • Journal of the Korean Operations Research and Management Science Society
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    • v.24 no.4
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    • pp.63-80
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    • 1999
  • In the container transportation of inland depots the empty container is an important issue. The truck dispatching problem in this paper is considered under restriction about empty containers. When a full container arrives in a depot by truck, after unloading operation the full container is changed to an empty container. After loading operation an empty container is changed to a full container. We suggest an integrated approach to the problem of simultaneously managing empty truck and container movements. We suggest an integrated approach to the problem of simultaneously managing empty truck and container movements. We would like to find the truck dispatching method minimizing empty truck movements and empty container movements. In this paper, a mixed integer programming model is developed to obtain the optimal truck dispatching in container transportation and heuristic is developed to give a good solution in much shorter time. The numerical examples are studied and the proposed heuristic is also compared with the result of numerical examples.

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Computational Study of Cutting Planes for a Lot-Sizing Problem in Branch-and-Cut Algorithm (Branch-and-Cut 알고리즘에서 Lot-Sizing 문제에 대한 Cutting Planes의 전산 성능 연구)

  • Chung, Kwanghun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.40 no.3
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    • pp.23-38
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    • 2015
  • In this paper, we evaluate the strength of three families of cutting planes for a lot-sizing problem. Lot-sizing problem is very basic MIP model for production planning and many strong valid inequalities have been developed for a variety of relaxations in the literature. To use three families of cutting planes in Branch-and-Cut framework, we develop separation algorithms for each cut and implement them in CPLEX. Then, we perform computational study to compare the effectiveness of three cuts for randomly generated instances of the lot-sizing problem.