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The Numerical Reliability of Econometric Software
, 1999
"... Numerical software is central to our computerized society; it is used... to analyze future options for financial markets and the economy. It is essential that it be of high ..."
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Cited by 30 (6 self)
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Numerical software is central to our computerized society; it is used... to analyze future options for financial markets and the economy. It is essential that it be of high
A Variational Method for Numerical Differentiation
, 1995
"... this paper, we suggest a method for numerical differentiation that we believe avoids some of the limitations mentioned above. Given a real valued, smooth function u defined on the closed interval [a; b], we construct an associated functional, ..."
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Cited by 5 (0 self)
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this paper, we suggest a method for numerical differentiation that we believe avoids some of the limitations mentioned above. Given a real valued, smooth function u defined on the closed interval [a; b], we construct an associated functional,
Time and cost tradeoff for distributed data processing
 Computers ind. Engng
, 1989
"... AbstractAn important design issue in distributed data processing systems is to determine optimal data distribution. The problem requires a tradeoff between time and cost. For instance, quick response time conflicts with low cost. The paper addresses the data distribution problem in this conflictin ..."
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Cited by 3 (1 self)
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AbstractAn important design issue in distributed data processing systems is to determine optimal data distribution. The problem requires a tradeoff between time and cost. For instance, quick response time conflicts with low cost. The paper addresses the data distribution problem in this conflicting environment. A formulation of the problem as a nonlinear program is developed. An algorithm employing a simple search procedure is presented, which gives an optimal data distribution. An example is solved to illustrate the method.
McCullough and Vinod: The Numerical Reliability of Econometric Software The Numerical Reliability of Econometric Software
"... Numerical software is central to our computerized society; it is used... to analyze future options for financial markets and the economy. It is essential that it be of high ..."
Abstract
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Numerical software is central to our computerized society; it is used... to analyze future options for financial markets and the economy. It is essential that it be of high
The Algebraic System of Recursive Complex Numbers: An Extension to the Field of Complex Numbers
, 1995
"... A new set of numbers, that includes the set of complex numbers is introduced, it is named the set of Recursive Complex Numbers and it is denoted by C r . A relation of equality (=) and two inner operations, addition and multiplication (+; \Delta) are defined in C r and the structure of the algebraic ..."
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A new set of numbers, that includes the set of complex numbers is introduced, it is named the set of Recursive Complex Numbers and it is denoted by C r . A relation of equality (=) and two inner operations, addition and multiplication (+; \Delta) are defined in C r and the structure of the algebraic system (C r ; +; \Delta; =) is investigated. It is shown that = is an equivalence relation in C r and that the algebra (C r ; +; \Delta) is a ring with the special property that all its regular elements (other than zero divisors) possess an inverse with respect to multiplication (\Delta). Although the algebra of recursive complex numbers is founded using their Recursive form, other forms of This work was supported by NSERC grant #OGP0944. A copy of the dvi file of this paper may be obtained by connecting to triton.cs.mun.ca (134.153.1.19) by anonymous ftp, change directory to pub/miminis and in binary mode get the file rcntec.dvi. The accompanying software, rcntbox.tar.Z may also be fou...
OPTIMAL STATIC DISTRIBUTION OF PRIORITIZED CUSTOMERS TO HETEROGENEOUS PARALLEL SERVERS
, 1993
"... Scope and Pm'lmseDistributing jobs effectively among multiple servers is of fundamental importance in enhancing the performance of distributed processing systems. The load balancing scheme is analyzed by using a queuing system. The major goal of this paper is to extend this problem to a situa ..."
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Scope and Pm'lmseDistributing jobs effectively among multiple servers is of fundamental importance in enhancing the performance of distributed processing systems. The load balancing scheme is analyzed by using a queuing system. The major goal of this paper is to extend this problem to a situation in which jobs are classified into a finite number of distinct priority types with a view to provide a generalized model. AbstractThe main aim of this paper is to present a model for distributing prioritized customers to heterogeneous parallel servers. A queuing optimization model is proposed in the form of a nonlinear programming problem having linear constraints, so that the average mean response time taken over all job requests is minimized. A solution procedure is developed by employing the convexity of the performance objective. A distributed system is illustrated to demonstrate the applicability of the model. In addition, the model is extended to the case of classdependent policies. 1.