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Integer extended ABS algorithms and possible control of intermediate results for linear Diophantine systems

Content Provider	Springer Nature Link
Author	Khorramizadeh, Mostafa Mahdavi Amiri, Nezam
Copyright Year	2008
Abstract	We present a new class of integer extended ABS algorithms for solving linear Diophantine systems. The proposed class contains the integer ABS (the so-called EMAS and our proposed MEMAS) algorithms and the generalized Rosser’s algorithm as its members. After an application of each member of the class a particular solution of the system and an integer basis for the null space of the coefficient matrix are at hand. We show that effective algorithms exist within this class by appropriately setting the parameters of the members of the new class to control the growth of intermediate results. Finally, we propose two effective heuristic rules for selecting certain parameters in the new class of integer extended ABS algorithms.
Starting Page	145
Ending Page	167
Page Count	23
File Format	PDF
ISSN	16194500
Journal	4OR
Volume Number	7
Issue Number	2
e-ISSN	16142411
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-07-25
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear Diophantine systems Integer ABS algorithms EMAS algorithms Generalized Rosser’s algorithm Expression swell Industrial and Production Engineering Optimization Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Management Science and Operations Research Management Information Systems Computational Theory and Mathematics

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