• Title/Summary/Keyword: Generating Functions

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An Intelligent Measuring and Inspection System for NC Machine Tools (NC 공작기계용 지능형 측정 및 검사시스템)

  • 김경돈
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.6 no.2
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    • pp.83-91
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    • 1997
  • Interactive measuring Part Program Generating Tools (IMPPGT) realized on the FANUC 15MA using touch trigger probes and interactive macro functions of the CNC were developed for intelligent measuring and inspection systems on the machine tools. Machine tools. Menu driven measuring and inspection functions of the IMPPGT were studied and implemented on the CNC through the macro executor and ROM writer. In order to automate measurement and inspection procedures in machine shops, measuring G Code system was also proposed. Using the developed measuring G Code system on the machine tool, untended measurement and inspection operation was able to be realized in FMS lines.

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Design and Implementation of an On-the-Machine Measuring and Inspection Module (NC 공작기계상에서의 측정 및 검사모듈의 설계와 구현)

  • 김경돈;정성종
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.4
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    • pp.91-97
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    • 1998
  • Design methodology of Interactive Measuring Part Program Generating Tools(IMPPGT) realized on the FANUC 15MA using touch trigger probes and interactive macro functions of the CNC was described in this paper. Measuring G codes were designed according to geometric form, precision attributes, relations between parts, datum hierarchies, and relevant technological data by using measuring arguments. Menu driven measuring and inspection functions of the IMPPGT were studied and implemented on the CNC through the macro executor and ROM writer. Using the developed measuring G code system on the machine tool, untended measurement and inspection operation was able to be realized in precision FMS lines.

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A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS

  • Kilar, Neslihan;Simsek, Yilmaz
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1605-1621
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    • 2017
  • The purpose of this paper is to construct a new family of the special numbers which are related to the Fubini type numbers and the other well-known special numbers such as the Apostol-Bernoulli numbers, the Frobenius-Euler numbers and the Stirling numbers. We investigate some fundamental properties of these numbers and polynomials. By using generating functions and their functional equations, we derive various formulas and relations related to these numbers and polynomials. In order to compute the values of these numbers and polynomials, we give their recurrence relations. We give combinatorial sums including the Fubini type numbers and the others. Moreover, we give remarks and observation on these numbers and polynomials.

THE DIMENSION REDUCTION ALGORITHM FOR THE POSITIVE REALIZATION OF DISCRETE PHASE-TYPE DISTRIBUTIONS

  • Kim, Kyung-Sup
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.1
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    • pp.51-64
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    • 2012
  • This paper provides an efficient dimension reduction algorithm of the positive realization of discrete phase type(DPH) distributions. The relationship between the representation of DPH distributions and the positive realization of the positive system is explained. The dimension of the positive realization of a discrete phase-type realization may be larger than its McMillan degree of probability generating functions. The positive realization with sufficient large dimension bound can be obtained easily but generally, the minimal positive realization problem is not solved yet. We propose an efficient dimension reduction algorithm to make the positive realization with tighter upper bound from a given probability generating functions in terms of convex cone problem and linear programming.

Balking Phenomenon in the $M^{[x]}/G/1$ Vacation Queue

  • Madan, Kailash C.
    • Journal of the Korean Statistical Society
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    • v.31 no.4
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    • pp.491-507
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    • 2002
  • We analyze a single server bulk input queue with optional server vacations under a single vacation policy and balking phenomenon. The service times of the customers as well as the vacation times of the server have been assumed to be arbitrary (general). We further assume that not all arriving batches join the system during server's vacation periods. The supplementary variable technique is employed to obtain time-dependent probability generating functions of the queue size as well as the system size in terms of their Laplace transforms. For the steady state, we obtain probability generating functions of the queue size as well as the system size, the expected number of customers and the expected waiting time of the customers in the queue as well as the system, all in explicit and closed forms. Some special cases are discussed and some known results have been derived.

Economic Power Dispatch with Discontinuous Fuel Cost Functions using Improved Parallel PSO

  • Mahdad, Belkacem;Bouktir, T.;Srairi, K.;Benbouzid, M.EL.
    • Journal of Electrical Engineering and Technology
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    • v.5 no.1
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    • pp.45-53
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    • 2010
  • This paper presents an improved parallel particle swarm optimization approach (IPPSO) based decomposed network for economic power dispatch with discontinuous fuel cost functions. The range of partial power demand corresponding to the partial output powers near the global optimal solution is determined by a flexible decomposed network strategy and then the final optimal solution is obtained by parallel Particle Swarm Optimization. The proposed approach tested on 6 generating units with smooth cost function, and to 26-bus (6 generating units) with consideration of prohibited zone effect, the simulation results compared with recent global optimization methods (Bee-OPF, GA, MTS, SA, PSO). From the different case studies, it is observed that the proposed approach provides qualitative solution with less computational time compared to various methods available in the literature survey.

Characteristic of Method of generation sequence using x2+ax+c (x2+ax+c를 이용한 수열 생성 방법의 특성화)

  • Cho, Sung-jin;Hwang, Yoon-Hee;Choi, Un-Sook;Heo, Seong-hun;Kim, Jin-Gyoung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.05a
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    • pp.433-436
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    • 2009
  • Many researchers had made a diversity of attempts for generating pseudorandom sequences such as the method of using LFSR whose characteristic polynomial is a primitive polynomial, of using Cellular Automata and of using quadratic functions. In this paper, we can analyze and characterize the methods for generating maximal period pseudorandom sequences constructed by quadratic functions.

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ANALYSIS OF AN N DUPLICATE-SERVER SYSTEM (N개의 이중 서어버를 가진 시스팀의 해석)

  • Jeon, Gyeong-Pyo
    • ETRI Journal
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    • v.10 no.4
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    • pp.89-98
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    • 1988
  • We consider an N duplicate-server system, where each server consists of two reconfigurable duplicated units which are subject to breakdowns. This system is studied analytically using generating functions, and also numerically using the matrix-geometric procedure. Using the generating function approach we obtain a recursive expression of the queuelength distribution for N=1. This expression in difficult to generalize to N>1. The numerical method is applicable for any value of N. For any N, we also obtain the condition for stability and the availability of the system.

ENUMERATION OF GRAPHS AND THE CHARACTERISTIC POLYNOMIAL OF THE HYPERPLANE ARRANGEMENTS 𝒥n

  • Song, Joungmin
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1595-1604
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    • 2017
  • We give a complete formula for the characteristic polynomial of hyperplane arrangements ${\mathcal{J}}_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $1{\leq}i$, j, k, $l{\leq}n$. The formula is obtained by associating hyperplane arrangements with graphs, and then enumerating central graphs via generating functions for the number of bipartite graphs of given order, size and number of connected components.

A Method for Automatic Generating Check Sheet of Jig and Die in Automobile Components Using CAD Model (CAD모델을 이용한 자동차 프레스 부품 검사 치구 체크 시트의 자동 생성방법)

  • 박성도;이철수
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.2
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    • pp.102-109
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    • 2002
  • This paper presents a method for automatic generating of check sheet to measure deep-drawn sheet metal. By using polyhedral model of CAD, the proposed procedure calculates measuring points automatically. The results of measure are exported to MS-Excel. The proposed method is implemented by API functions and C language using SPEED plus CAD/CAM system and MS-Window OLE.