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Modeling high school timetabling with bitvectors

delete2016-07-22
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Emir Demirović *
N
Nysret Musliu
DOI:10.1007/s10479-016-2220-6delete
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摘要

摘要

En 中文
High school timetabling (HSTT) is a well known and wide spread problem. The problem consists of coordinating resources (e.g. teachers, rooms), times, and events (e.g. lectures) with respect to various constraints. Unfortunately, HSTT is hard to solve and just finding a feasible solution for simple variants of HSTT has been proven to be NP-complete. We propose a new modeling approach for HSTT using bitvectors in which constraint costs of the general HSTT can be calculated using bit operations. This model allows efficient computation of constraint costs making it useful when implementing HSTT algorithms. Additionally, it can be used to solve HSTT with satisfiability modulo theory (SMT) solvers that support bitvectors. We evaluate the performance for our bitvector modeling approach and compare it to the leading engine KHE when developing local search algorithms such as hill climbing and simulated annealing. The experimental results show that our approach is useful for this problem. Furthermore, experimental results using SMT are given on instances from the ITC 2011 benchmark repository.
Keyword:
SMT
High school timetabling
Modeling
Bitvectors
Local search
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期刊

Annals of Operations Research 封面图
Annals of Operations Research
IF:
4.5
论文数:
8.1K
被引数:
2.1W

机构

T
Technische Universitat Wien
学者数:
1.3W
论文数: 1.1W
被引数: 21
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