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ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
13 years 8 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington
CONSTRAINTS
2011
12 years 8 months ago
CP and IP approaches to cancer radiotherapy delivery optimization
Abstract. We consider the problem of decomposing an integer matrix into a positively weighted sum of binary matrices that have the consecutive-ones property. This problem is well-k...
Davaatseren Baatar, Natashia Boland, Sebastian Bra...
CADE
2005
Springer
14 years 4 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
JAR
2006
236views more  JAR 2006»
13 years 4 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
ISCAS
2006
IEEE
145views Hardware» more  ISCAS 2006»
13 years 10 months ago
The wordlength determination problem of linear time invariant systems with multiple outputs - a geometric programming approach
This paper proposes two new methods for optimizing objectives and constraints. The GP approach is very general and hardware resources in finite wordlength implementation of it allo...
S. C. Chan, K. M. Tsui