• Title/Summary/Keyword: Integer Programming(IP)

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On-Chip Crossbar Network Topology Synthesis using Mixed Integer Linear Programming (Mixed Integer Linear Programming을 이용한 온칩 크로스바 네트워크 토폴로지 합성)

  • Jun, Minje;Chung, Eui-Young
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.1
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    • pp.166-173
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    • 2013
  • As the number of IPs and the communication volume among them have constantly increased, on-chip crossbar network is now the most widely-used on-chip communication backbone of contemporary SoCs. The on-chip crossbar network consists of multiple crossbars and the connections among the IPs and the crossbars. As the complexity of SoCs increases, it has also become more and more complex to determine the topology of the crossbar network. To tackle this problem, this paper proposes an on-chip crossbar network topology method for application-specific systems. The proposed method uses mixed integer linear programming to solve the topology synthesis problem, thus the global optimality is guaranteed. Unlike the previous MILP-based methods which represent the topology with adjacency matrixes of IPs and crossbar switches, the proposed method uses the communication edges among IPs as the basic element of the representation. The experimental results show that the proposed MILP formulation outperforms the previous one by improving the synthesis speed by 77.1 times on average, for 4 realistic benchmarks.

Linear Programming Applications to Managerial Accounting Decision Makings (선형계획법을 이용한 관리회계적 의사결정)

  • Song, Han-Sik;Choi, Min-Cheol
    • Asia-Pacific Journal of Business
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    • v.9 no.4
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    • pp.99-117
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    • 2018
  • This study has investigated Linear Programming (LP) applications to special decision making problems in managerial accounting with the help of spreadsheet Solver tools. It uses scenario approaches to case examples having three products and three resources in make-and-supply business operations, which is applicable to cases having more variables and constraints. Integer Programmings (IP) are applied in order to model situations when products are better valued in integer values or logical constraints are required. Three cases in one-time-only special order decisions include Goal Programming approach, Knapsack problems with 0/1 selections, and fixed-charge 0/1 integer modelling techniques for set-up operation costs. For the decisions in outsourcing problems, opportunity-costs of resources expressed by shadow-prices are considered to determine their precise contributions. It has also shown that the improvement in work-shop operation for an unprofitable product must overcome its 'reduced cost' by the sum of direct manufacturing cost savings and its shadow-price contributions. This paper has demonstrated how various real situations of special decision problem in managerial accounting can be approached without mistakes by using LP's and IP's, and how students both in accounting and management science can acquire LP skills in their education.

Frequency Reassignment Problem in Code Division Multiple Access Networks

  • Han Jung-Hee
    • Management Science and Financial Engineering
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    • v.12 no.1
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    • pp.127-142
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    • 2006
  • In this paper, we present a frequency reassignment problem (FRP) that arises when we add new base stations to resolve hot-spots or to expand the coverage of a code division multiple access (CDMA) network. For this problem, we develop an integer programming (IP) model along with some valid inequalities and preprocessing rules. Also, we develop an effective heuristic procedure that solves two sub-problems induced from the original problem in repetition. Computational results show that the proposed heuristic procedure finds a feasible solution of good quality within reasonable computation time. Also, the lower bound by-produced from the heuristic procedure is quite strong.

Daily Unit Commitment Scheduling of Power System with Energy Storage System (전력저장장치를 고려한 일간 최적 기동정지계획 수립연구)

  • Song, Ha-Na;Jang, Se-Hwan;Kim, Hyeong-Jung;Roh, Jae-Hyung;Park, Jong-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.4
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    • pp.717-725
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    • 2011
  • In the power system with an electric storage system that can increase utilization rate of the source of such new renewable energy, this paper introduces the approach on the daily unit commitment scheduling that determines simultaneously optimum operational condition and output of thermal generators and electric storage device. The unit commitment is one of the most important issues in economic operation and security of short-term operational plan of the power system. It is to determine on/off status of generator to minimize operational cost during the given period. The committed generator should satisfy various operational limitation such as estimated demand by system, spinning reserve condition within minimum operational cost. In order to determine on/off or charge/discharge/idle condition and output level of units and electric storage system, the MILP(Mixed Integer Linear Programming) is suggested. The proposed approach is the mixed method between LP(Linear Programming) and IP(integer programming) which seeks the value of real number and integer that maximize or minimize function objective within given condition. The daily unit commitment problem with the electric storage system is applied to MILP algorithm through linearization and formulation process. The proposed approach is applied to the test system.

A Datapath Scheduling Under Resource Constraints (자원제약조건 하에서의 데이터패스 스케듈링)

  • 이근만;임인칠
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.4
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    • pp.424-432
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    • 1992
  • This paper deals with the scheduling ploblems, which are the most important subtasks in High-level syntheses. IP(integer programming) formulations is used as the scheduling problem approach. This paper describes a new resource-constraints scheduling algorithm. We have concentrated our attentions on the multicycle operations and the structural pipelining, and we fully analyze the characteristics of operators to achieve the maximal performance and the maximal resource sharing. For experiment results, we choose the 5-th order digital wave filter as a benchmark and do the schedule, Finally, we can obtain near-optimal scheduling results.

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Development of an intelligent system for Lagrangian structural identification and relaxation for integer programmings (정수계획 모형에서 라그란지안 구조정의 및 완화를 지원하는 지능형 시스템의개발)

  • 김철수;이재규;김민용
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.09a
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    • pp.300-324
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    • 1995
  • This research investigates the automatic identification of typical embedded structures in the Integer Programming(IP) models and automatic transformation of the problem to an adequate Lagrangian problem which can provide tight bounds within the acceptable run time. For this purpose, the structural distinctiveness of variables, constants, blocks of terms, and constraint chunks is identified to describe the structure of the IP model. To assist the identification of the structural distinctiveness, the representation by the knowledge based IP model formulator UNIK-IP is adopted. For the reasoning for the structural identification, the bottom-up, top-down, and case-based approaches are proposed. A prototype system UNIK-RELAX is developed to implement the approaches proposed in this research.

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An Efficient Data Path Synthesis Algorithm for Low-Power (저전력 데이타-경로를 위한 효율적인 고수준 합성 알고리즘)

  • Park, Chae-Ryung;Kim, Young-Tae;Kim, Tae-Hwan
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.2
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    • pp.227-233
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    • 2000
  • In this paper, we present a new high-level data path synthesis algorithm which solves the two design problems, namely, scheduling and allocation, with power minimization as a key design parameter. From the observations in previous works on data path synthesis for low power, we derive an integer programming (IP) formulation for the problem, from which we then develop an efficient heuristic to carry out the scheduling and allocation simultaneously. Our experimental results demonstrate that the proposed algorithm is very effective in saving power consumption of circuits significantly.

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A Study on A Global Optimization Method for Solving Redundancy Optimization Problems in Series-Parallel Systems (직렬-병렬 시스템의 중복 설계 문제의 전역 최적화 해법에 관한 연구)

  • 김재환;유동훈
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.6 no.1
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    • pp.23-33
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    • 2000
  • This paper is concerned with finding the global optimal solutions for the redundancy optimization problems in series-parallel systems related with system safety. This study transforms the difficult problem, which is classified as a nonlinear integer problem, into a 0/1 IP(Integer Programming) by using binary integer variables. And the global optimal solution to this problem can be easily obtained by applying GAMS (General Algebraic Modeling System) to the transformed 0/1 IP. From computational results, we notice that GA(Genetic Algorithm) to this problem, which is, to our knowledge, known as a best algorithm, is poor in many cases.

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A Method for Selecting Voice Game Commands to Maximize the Command Distance (명령어간 거리를 최대화하는 음성 게임 명령어의 선택 방법)

  • Kim, Sangchul
    • Journal of Korea Game Society
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    • v.19 no.4
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    • pp.97-108
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    • 2019
  • Recently interests in voice game commands have been increasing due to the diversity and convenience of the input method, but also by the distance between commands. The command distance is the phonetic difference between command utterances, and as such distance increases, the recognition rate improves. In this paper, we propose an IP(Integer Programming) modeling of the problem which is to select a combination of commands from given candidate commands for maximizing the average distance. We also propose a SA(Simulated Annealing)-based algorithm for solving the problem. We analyze the characteristics of our method using experiments under various conditions such as the number of commands, allowable command length, and so on.

A Model of Military Helicopter Pilot Scheduling (군용 헬리콥터 조종사 스케줄링 모형)

  • Kim, Joo An;Lee, Moon Gul
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.43 no.4
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    • pp.150-160
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    • 2020
  • In this paper, we introduce a pilot's scheduling model which is able to maintain and balance their capabilities for each relevant skill level in military helicopter squadron. Flight scheduler has to consider many factors related pilot's flight information and spends a lot of times and efforts for flight planning without scientific process depending on his/her own capability and experience. This model reflected overall characteristics that include pilot's progression by basis monthly and cumulative flight hours, operational recent flight data and quickly find out a pinpoint areas of concern with respect to their mission subjects etc. There also include essential several constraints, such as personnel qualifications, and Army helicopter training policy's constraints such as regulations and guidelines. We presented binary Integer Programming (IP) mathematical formulation for optimization and demonstrated its effectiveness by comparisons of real schedule versus model's solution to several cases experimental scenarios and greedy random simulation model. The model made the schedule in less than 30 minutes, including the data preprocessing process, and the results of the allocation were more equal than the actual one. This makes it possible to reduce the workload of the scheduler and effectively manages the pilot's skills. We expect to set up and improve better flight planning and combat readiness in Korea Army aviation.