• Title/Summary/Keyword: set-partitioning model

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An Integer Programming-based Local Search for the Set Partitioning Problem

  • Hwang, Junha
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.9
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    • pp.21-29
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    • 2015
  • The set partitioning problem is a well-known NP-hard combinatorial optimization problem, and it is formulated as an integer programming model. This paper proposes an Integer Programming-based Local Search for solving the set partitioning problem. The key point is to solve the set partitioning problem as the set covering problem. First, an initial solution is generated by a simple heuristic for the set covering problem, and then the solution is set as the current solution. Next, the following process is repeated. The original set covering problem is reduced based on the current solution, and the reduced problem is solved by Integer Programming which includes a specific element in the objective function to derive the solution for the set partitioning problem. Experimental results on a set of OR-Library instances show that the proposed algorithm outperforms pure integer programming as well as the existing heuristic algorithms both in solution quality and time.

Prediction Models of P-Glycoprotein Substrates Using Simple 2D and 3D Descriptors by a Recursive Partitioning Approach

  • Joung, Jong-Young;Kim, Hyoung-Joon;Kim, Hwan-Mook;Ahn, Soon-Kil;Nam, Ky-Youb;No, Kyoung-Tai
    • Bulletin of the Korean Chemical Society
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    • v.33 no.4
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    • pp.1123-1127
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    • 2012
  • P-gp (P-glycoprotein) is a member of the ATP binding cassette (ABC) family of transporters. It transports many kinds of anticancer drugs out of the cell. It plays a major role as a cause of multidrug resistance (MDR). MDR function may be a cause of the failure of chemotherapy in cancer and influence pharmacokinetic properties of many drugs. Hence classification of candidate drugs as substrates or nonsubstrate of the P-gp is important in drug development. Therefore to identify whether a compound is a P-gp substrate or not, in silico method is promising. Recursive Partitioning (RP) method was explored for prediction of P-gp substrate. A set of 261 compounds, including 146 substrates and 115 nonsubstrates of P-gp, was used to training and validation. Using molecular descriptors that we can interpret their own meaning, we have established two models for prediction of P-gp substrates. In the first model, we chose only 6 descriptors which have simple physical meaning. In the training set, the overall predictability of our model is 78.95%. In case of test set, overall predictability is 69.23%. Second model with 2D and 3D descriptors shows a little better predictability (overall predictability of training set is 79.29%, test set is 79.37%), the second model with 2D and 3D descriptors shows better discriminating power than first model with only 2D descriptors. This approach will be used to reduce the number of compounds required to be run in the P-gp efflux assay.

Hardware/Software Partitioning Methodology for Reconfigurable System (재구성형 시스템을 위한 하드웨어/소프트웨어 분할 기법)

  • Kim, Jun-Yong;Ahn, Seong-Yong;Lee, Jeong-A.
    • The KIPS Transactions:PartA
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    • v.11A no.5
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    • pp.303-312
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    • 2004
  • In this paper, we propose a methodology solving the problem of the hardware-software partitioning in reconfigurable systems using a Y-chart design space exploration and implement a simulator according to the methodology. The methodology generates a mapping set between tasks and hardware elements using the hardware element model and the application model. We evaluate the throughput by simulating cases in each mapping set. With the throughput evaluation result, we can select the mapping case with the highest throughput. We also propose an heuristic improving the simulation time by reducing the mapping set on the basis of the relationship between workload and parallelism. Simulation results show that we can reduce the size of mapping set which poses difficulties on hardware-software partitioning by up to 80%.

A Route-Splitting Approach to the Vehicle Routing Problem (차량경로문제의 경로분할모형에 관한 연구)

  • Kang, Sung-Min
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.10a
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    • pp.57-78
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    • 2005
  • The vehicle routing problem (VRP) is to determine a set of feasible vehicle routes, one for each vehicle, such that each customer is visited exactly once and the total distance travelled by the vehicles is minimized. A feasible route is defined as a simple circuit including the depot such that the total demand of the customers in the route does not exceed the vehicle capacity. While there have been significant advances recently in exact solution methodology, the VRP is not a well solved problem. We find most approaches still relying on the branch and bound method. These approaches employ various methodologies to compute a lower bound on the optimal value. We introduce a new modelling approach, termed route-splitting, for the VRP that allows us to address problems whose size is beyond the current computational range of set-partitioning models. The route-splitting model splits each vehicle route into segments, and results in more tractable subproblems. Lifting much of the burden of solving combinatorially hard subproblems, the route-splitting approach puts more weight on the LP master problem, Recent breakthroughs in solving LP problems (Nemhauser, 1994) bode well for our approach. Lower bounds are computed on five symmetric VRPs with up to 199 customers, and eight asymmetric VRPs with up to 70 customers. while it is said that the exact methods developed for asymmetric instances have in general a poor performance when applied to symmetric ones (Toth and Vigo, 2002), the route splitting approach shows a competent performance of 93.5% on average in the symmetric VRPs. For the asymmetric ones, the approach comes up with lower bounds of 97.6% on average. The route-splitting model can deal with asymmetric cost matrices and non-identical vehicles. Given the ability of the route-splitting model to address a wider range of applications and its good performance on asymmetric instances, we find the model promising and valuable for further research.

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Design and Evaluation of Flexible Thread Partitioning System (융통성 있는 스레드 분할 시스템 설계와 평가)

  • Jo, Sun-Moon
    • Journal of Internet Computing and Services
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    • v.8 no.3
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    • pp.75-83
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    • 2007
  • Multithreaded model is an effective parallel system in that it can reduce the long memory reference latency time and solve the synchronization problems. When compiling the non-strict functional programs for the multithreaded parallel machine, the most important thing is to find an set of sequentially executable instructions and to partitions them into threads. The existing partitioning algorithm partitions the condition of conditional expression, true expression and false expression into the basic blocks and apply local partitioning to these basic blocks. We can do the better partitioning if we modify the definition of the thread and allow the branching within the thread. The branching within the thread do not reduce the parallelism, do not increase the number of synchronization and do not violate the basic rule of the thread partitioning. On the contrary, it can lengthen the thread and reduce the number of synchronization. In the paper, we enhance the method of the partition of threads by combining the three basic blocks into one of two blocks.

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Prediction of Acute Toxicity to Fathead Minnow by Local Model Based QSAR and Global QSAR Approaches

  • In, Young-Yong;Lee, Sung-Kwang;Kim, Pil-Je;No, Kyoung-Tai
    • Bulletin of the Korean Chemical Society
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    • v.33 no.2
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    • pp.613-619
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    • 2012
  • We applied several machine learning methods for developing QSAR models for prediction of acute toxicity to fathead minnow. The multiple linear regression (MLR) and artificial neural network (ANN) method were applied to predict 96 h $LC_{50}$ (median lethal concentration) of 555 chemical compounds. Molecular descriptors based on 2D chemical structure were calculated by PreADMET program. The recursive partitioning (RP) model was used for grouping of mode of actions as reactive or narcosis, followed by MLR method of chemicals within the same mode of action. The MLR, ANN, and two RP-MLR models possessed correlation coefficients ($R^2$) as 0.553, 0.618, 0.632, and 0.605 on test set, respectively. The consensus model of ANN and two RP-MLR models was used as the best model on training set and showed good predictivity ($R^2$=0.663) on the test set.

An Integer Programming Model for the Rolling Stock Assignment Plan (철도차량 할당계획을 위한 정수계획법모형)

  • 김성호;홍순흠
    • Proceedings of the KSR Conference
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    • 2002.10a
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    • pp.349-356
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    • 2002
  • This paper describes a mathematical programming model for constructing the rolling stock assignment plan. This plan is a schedule which assigns daily routings, maintenance activities, and other tasks to trainsets. A generalized set partitioning model which is a kind of integer programming model is suggested as a model for constructing the assignment plan. And a column generation method are suggested as a solution method.

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KTX Trainset Maintenance Routing and Allocation System for Korea High-Speed Rail (한국고속철도를 위한 차량운용 및 할당시스템)

  • Hong Soon-Hum;Kim Seongho
    • Journal of the Korean Society for Railway
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    • v.8 no.5
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    • pp.391-397
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    • 2005
  • In this paper we present a model for the maintenance routing construction and the trainset allocation (maintenance routing problem). The model solves the maintenance routing problem using column generation algorithm which was used to combine constraint programming and linear programming. Ilog-cplex was used to solve the linear programming model and Ilog-solver was used to solve the constraint programming model. The computational experience is also provided.

An Accurate Modeling Approach to Compute Noise Transfer Gain in Complex Low Power Plane Geometries of Power Converters

  • Nguyen, Tung Ngoc;Blanchette, Handy Fortin;Wang, Ruxi
    • Journal of Power Electronics
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    • v.17 no.2
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    • pp.411-421
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    • 2017
  • An approach based on a 2D lumped model is presented to quantify the voltage transfer gain (VTG) in power converter low power planes. The advantage of the modeling approach is the ease with which typical noise reduction devices such as decoupling capacitors or ferrite beads can be integrated into the model. This feature is enforced by a new modular approach based on effective matrix partitioning, which is presented in the paper. This partitioning is used to decouple power plane equations from external device impedance, which avoids the need for rewriting of a whole set of equation at every change. The model is quickly solved in the frequency domain, which is well suited for an automated layout optimization algorithm. Using frequency domain modeling also allows the integration of frequency-dependent devices such inductors and capacitors, which are required for realistic computation results. In order to check the precision of the modeling approach, VTGs for several layout configurations are computed and compared with experimental measurements based on scattering parameters.

An Efficient Multibody Dynamic Algorithm Using Independent Coordinates Set and Modified Velocity Transformation Method (수정된 속도변환기법과 독립좌표를 사용한 효율적인 다물체 동역학 알고리즘)

  • Kang, Sheen-Gil;Yoon, Yong-San
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.488-494
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    • 2001
  • Many literatures, so far, have concentrated on approaches employing dependent coordinates set resulting in computational burden of constraint forces, which is needless in many cases. Some researchers developed methods to remove or calculate it efficiently. But systematic generation of the motion equation using independent coordinates set by Kane's equation is possible for any closed loop system. Independent velocity transformation method builds the smallest size of motion equation, but needs practically more complicated code implementation. In this study, dependent velocity matrix is systematically transformed into independent one using dependent-independent transformation matrix of each body group, and then motion equation free of constraint force is constructed. This method is compared with the other approach by counting the number of multiplications for car model with 15 d.o.f..

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