• 제목/요약/키워드: number operations

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부분 효율성 정보를 이용한 DEA 모형의 투입.산출 요소 선정에 관한 연구 (A Selection Process of Input and Output Factors Using Partial Efficiency in DEA)

  • 민재형;김진한
    • 한국경영과학회지
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    • 제23권3호
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    • pp.75-90
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    • 1998
  • The improper use of input and output factors in DEA has a critical and negative impact on the efficiency measurement and the discernment of decision making units(DMUs) : hence the proper selection Process of the factors should precede the actual applications of DEA. In this paper, we propose a new approach to selecting proper factors based on Tofallis' partial efficiency evaluation method(1996). With the approach, the factors aye clustered by measuring their respective partial efficiencies and analyzing the rank correlations of them. The method and procedure we propose in this paper are then applied to measure the efficiencies of the public libraries in Seoul District area, and the results show that the proposed approach can provide meaningful information to improve discernment of the DMUs while using less number of input factors (and less information). The proposed method can be effectively used in the situation where the number of the DMUs to be considered is relatively small compared to the number of available input and output factors, which usually lessens the power to identify the inefficient units in DEA.

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최적에 가까운 군집화를 위한 이단계 방법 (A Two-Stage Method for Near-Optimal Clustering)

  • 윤복식
    • 한국경영과학회지
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    • 제29권1호
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    • pp.43-56
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    • 2004
  • The purpose of clustering is to partition a set of objects into several clusters based on some appropriate similarity measure. In most cases, clustering is considered without any prior information on the number of clusters or the structure of the given data, which makes clustering is one example of very complicated combinatorial optimization problems. In this paper we propose a general-purpose clustering method that can determine the proper number of clusters as well as efficiently carry out clustering analysis for various types of data. The method is composed of two stages. In the first stage, two different hierarchical clustering methods are used to get a reasonably good clustering result, which is improved In the second stage by ASA(accelerated simulated annealing) algorithm equipped with specially designed perturbation schemes. Extensive experimental results are given to demonstrate the apparent usefulness of our ASA clustering method.

An Airline Scheduling Model and Solution Algorithms

  • AL-Sultan, Ahmed Thanyan;Ishioka, Fumio;Kurihara, Koji
    • Communications for Statistical Applications and Methods
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    • 제18권2호
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    • pp.257-266
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    • 2011
  • The rapid development of airlines, has made airports busier and more complicated. The assignment of scheduled to available gates is a major issue for daily airline operations. We consider the over-constrained airport gate assignment problem(AGAP) where the number of flights exceeds the number of available gates, and where the objectives are to minimize the number of ungated flights and the total walking distance or connection times. The procedures used in this project are to create a mathematical model formulation to identify decision variables to identify, constraints and objective functions. In addition, we will consider in the AGAP the size of each gate in the terminal and also the towing process for the aircraft. We will use a greedy algorithm to solve the problem. The greedy algorithm minimizes ungated flights while providing initial feasible solutions that allow flexibility in seeking good solutions, especially in case when flight schedules are dense in time. Experiments conducts give good results.

완제품에 대한 수요가 Compound Poisson 과정에 따라 발생하는 CONWIP System의 성능분석 (Performance Evaluation of a CONWIP System with Compound Poisson Demands)

  • 박찬우;신경화;이효성
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2002년도 춘계공동학술대회
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    • pp.845-850
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    • 2002
  • In this study we consider a flow-line CONWIP System with Compound Poisson Demands. The processing times of each workstation follow a Coxian-2 distribution. The demands that are not satisfied instantaneously are either backordered or lost according to the number of backordered demands that exist at their arrival instants. For this system we develop an approxi­mation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, the average number of backordered demands and the proportion of the lost demands. Comparisons with simulation have shown that the approximate method provides fairly good results.

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수송 네트워크에서 최대물동량경로 문제의 최적해법 (An Optimal Algorithm for Maximum Origin Destination Flow Path in the Transportation Network)

  • 성기석;박순달
    • 한국경영과학회지
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    • 제16권1호
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    • pp.1-12
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    • 1991
  • This paper studies an optimal algorithm for the Maximum Origin-Destination Flor Path (MODFP) in an acyclic transportation network. We define a Pseudo-Flow each are so that it can give an upper bound to the total flow of a given path. And using the K-th Shortest Path algorithm we obtain upper bound of MODF which is decreasing as the number of searched path grows. Computational Complexity of optimal algorithm is O(K + m) $n_{2}$), K being the total number of searched path. We proved that the problem complexity of finding MODFP in an acyclic network is NP-hard, showing that the-satisfiability problem can be polynomialy reduced to this problem. And we estimated the average of the number K as being (m/n)$^{1,08}$ Exp (0.00689gm) from the computational experiments.

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이중작업능력의 서버로 구성된 서비스시스템 설계 (A Design Problem of a Service System with Bi-functional Servers)

  • 김성철
    • 한국경영과학회지
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    • 제32권3호
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    • pp.17-31
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    • 2007
  • In this paper, we consider a service system with bi-functional servers, which can switch between the primary service room and the secondary room. A service policy is characterized by the switching paints which depend on the queue length in the primary service room and the service level requirement constraint of the secondary room. The primary service room is modeled as a Markovian queueing system and the throughput of the primary service room is function of the total number of bi-functional servers. the buffer capacity of the primary service room, and the service policy. There is a revenue obtained from throughput and costs due to servers and buffers. We study the problem of simuitaneously determining the optimal number of servers, buffer capacity, and service policy to maximize profit of the service system, and develop an algorithm which can be successfully applied with the small number of computations.

Jacknife and Bootstrap Estimation of the Mean Number of Customers in Service for an $M/G/{\infty}$

  • Park, Dong-Keun
    • 한국국방경영분석학회지
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    • 제12권2호
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    • pp.68-81
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    • 1986
  • This thesis studies the estimation from interarrival and service time data of the mean number of customers in service at time t for an $M/G/{\infty}$ queue. The assumption is that the parametric form of the service time distribution is unknown and the empirical distribution of twe service time is used in the estimate the mean number of customers in service. In the case in which the customer arrival rate is known the distribution of the estimate is derived and an approximate normal confidence interval procedure is suggested. The use of the nonparametric methods, which are the jackknife and the bootstrap, to estimate variability and construct confidence intervals for the estimate is also studied both analytically and by simulation.

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화물컨테이너 운송을 위한 시뮬레이티드 어닐링 기반의 차량경로계획 (Simulated Annealing Based Vehicle Routing Planning for Freight Container Transportation)

  • 이상헌;최해정
    • 산업공학
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    • 제20권2호
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    • pp.204-215
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    • 2007
  • This paper addresses vehicle routing planning in freight container transportation systems where a number of loaded containers are to be delivered to their destination places. The system under consideration is static in that all transportation requirements are predetermined at the beginning of a planning horizon. A two-phased procedure is presented for freight container transportation. In the first phase, the optimal model is presented to determine optimal total time to perform given transportation requirements and the minimum of number of vehicles required. Based on the results from the optimal model, in the second phase, ASA(Accelerated Simulated Annealing) algorithm is presented to perform all transportation requirements with the least number of vehicles by improving initial vehicle routing planning constructed by greedy method. It is found that ASA algorithm has an excellent global searching ability through various experiments in comparison with existing methods.

자동화제조시스템에서 다수목표를 위한 물류관리 (Logistics for multiple objectives in automated manufacturing system)

  • 최정상;장길상
    • 한국국방경영분석학회지
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    • 제27권2호
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    • pp.25-36
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    • 2001
  • In this paper a new heuristic algorithm has been developed and presented for logistics for multiple objectives in an automated manufacturing systems. We proposed Simallest Processing and Average setup time Ratio First(SPARF) algorithm for multiple criteria under sequence setup time. The heuristic algorithm is implemented on the various problem cases by number of jobs and machines. The proposed algorithm provided smaller than the previously documented heuristics. The results obtained show a superior solution by the new heuristic over previous heuristics on all problem sizes. we perform analyses of variance to fortify the above results of comparison with the previous algorithms to the four cases using Statistical Analysis System(SAS) package. The results show that the larger is the number of groups or cells, the bigger is the amount of improvement by the proposed algorithms. It suggests that the algorithms proposed is strongly influenced by the number of cells, groups and interaction of these factors.

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PLITHOGENIC VERTEX DOMINATION NUMBER

  • T. BHARATHI;S. LEO;JEBA SHERLIN MOHAN
    • Journal of applied mathematics & informatics
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    • 제42권3호
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    • pp.625-634
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    • 2024
  • The thrust of this paper is to extend the notion of Plithogenic vertex domination to the basic operations in Plithogenic product fuzzy graphs (PPFGs). When the graph is a complete PPFG, Plithogenic vertex domination numbers (PVDNs) of its Plithogenic complement and perfect Plithogenic complement are the same, since the connectivities are the same in both the graphs. Since extra edges are added to the graph in the case of perfect Plithogenic complement, the PVDN of perfect Plithogenic complement is always less than or equal to that of Plithogenic complement, when the graph under consideration is an incomplete PPFG. The maximum and minimum values of the PVDN of the intersection or the union of PPFGs depend upon the attribute values given to P-vertices, the number of attribute values and the connectivities in the corresponding PPFGs. The novelty in this study is the investigation of the variations and the relations between PVDNs in the operations of Plithogenic complement, perfect Plithogenic complement, union and intersection of PPFGs.