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Generation techniques for linear programming instances with controllable properties

delete2019-08-17
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PRE
AI
S
Simon Bowly *
K
Kate Smith‐Miles
D
Davaatseren Baatar
H
Hans D. Mittelmann
DOI:10.1007/s12532-019-00170-6delete
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Abstract

Abstract

En 中文
This paper addresses the problem of generating synthetic test cases for experimentation in linear programming. We propose a method which maps instance generation and instance space search to an alternative encoded space. This allows us to develop a generator for feasible bounded linear programming instances with controllable properties. We show that this method is capable of generating any feasible bounded linear program, and that parameterised generators and search algorithms using this approach generate only feasible bounded instances. Our results demonstrate that controlled generation and instance space search using this method achieves feature diversity more effectively than using a direct representation.
Keywords:
Linear programming
Instance generation
Controllable properties
Encoded space
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Journal

Mathematical Programming Computation cover
Mathematical Programming Computation
IF:
3.6
Papers:
197
Citations:
1.9K

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A
Arizona State University
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M
Monash University
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U
university of melbourne
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