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Advanced Linear-Programming Computing Techniques
  • 241
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THE PRODUCT FORM FOR THE INVERSE IN THE SIMPLEX METHOD
Abstract : When a matrix is represented as a product of 'elementary' matrices, the matrix, its transpose, its inverse and inverse transpose are readily available for vector multiplication. By anExpand
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The Evolution of Programming Systems
TLDR
In spite of a host of uncoordinated, and largely incompatible, developments in the programming field, a number of standard forms and principles are beginning to emerge. Expand
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An Implementation of the Reference Point Approach for Multiobjective Optimization
This paper studies the reference point approach of Wierzbicki for multiobjective optimization. The method does not necessarily aim at finding an optimum under any utility function but rather it isExpand
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Software for mathematical programming
TLDR
The development of software for mathematical programming has paralleled the development of basic software and has perhaps the longest history of any application system in the computing field. Expand
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COMPUTATIONAL EXPERIENCE IN SOLVING LINEAR PROGRAMMING PROBLEMS
TLDR
A petroleum blending problem is used to illustrate the power of linear programming as a tool for planning. Expand
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Revisions and Extensions to the Simplex Method (with Side-Lights on Programming Techniques)
Abstract : Modification in various ways of the simplex algorithm for solving linear programming problems and its implications for flexibility and adaptability in a computer code is examined.
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Multilevel operating systems
TLDR
The basic software for all newer computers is built on the well-established need for standard operating systems. Expand
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Algebra of Quadriform Numbers
In a separate paper by the same author, a set of hypernumbers, called quadriform, were defined in terms of 4 x 4 real matrices which represent a kind of generalization of 2 x 2 matrix representationExpand
User-Oriented Networks: A Series. Part II. Inter-User Communication and Its Implications for Network Topography
TLDR
In Part I (IIASA WP-75-81), three types of networks were identified: commercial, cooperative, and user-oriented. Expand
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