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@article{gondran1984,
author = "Michel Gondran and Michel Minoux",
title = "Linear Algebra in Dioids: A Survey of Recent Results",
year = "1984",
pages = "147--164",
journal = "Annals of Discrete Mathematics",
volume = "19"
}
@incollection{griffin2008,
author={Griffin, Timothy G. and Gurney, Alexander J. T.},
title={Increasing Bisemigroups and Algebraic Routing},
year={2008},
isbn={978-3-540-78912-3},
booktitle={Relations and Kleene Algebra in Computer Science},
volume={4988},
series={Lecture Notes in Computer Science},
editor={Berghammer, Rudolf and Möller, Bernhard and Struth, Georg},
doi={10.1007/978-3-540-78913-0_11},
url={http://dx.doi.org/10.1007/978-3-540-78913-0_11},
publisher={Springer Berlin Heidelberg},
pages={123-137},
language={English}
}
@incollection{batz2010,
author={Batz, Gernot Veit and Geisberger, Robert and Neubauer, Sabine and Sanders, Peter},
title={Time-Dependent Contraction Hierarchies and Approximation},
year={2010},
booktitle={Experimental Algorithms},
isbn={978-3-642-13192-9},
volume={6049},
series={Lecture Notes in Computer Science},
editor={Festa, Paola},
doi={10.1007/978-3-642-13193-6_15},
url={http://dx.doi.org/10.1007/978-3-642-13193-6_15},
publisher={Springer Berlin Heidelberg},
pages={166-177},
language={English}
}
@inproceedings{cousot1977,
author = {Cousot, Patrick and Cousot, Radhia},
title = {Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints},
pages = {238--252},
booktitle = {Conference Record of the Fourth Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages},
address = {Los Angeles, California},
publisher = {ACM Press, New York, NY},
year = {1977},
}
@inproceedings{cousot1992,
author = {Cousot, Patrick and Cousot, Radhia},
title = {Comparing the Galois Connection and Widening/Narrowing Approaches to Abstract Interpretation},
booktitle = {Proceedings of the 4th International Symposium on Programming Language Implementation and Logic Programming},
series = {PLILP '92},
year = {1992},
isbn = {3-540-55844-6},
pages = {269--295},
numpages = {27},
url = {http://dl.acm.org/citation.cfm?id=646448.692441},
acmid = {692441},
publisher = {Springer-Verlag},
address = {London, UK, UK},
}
@article{sobrinho2005,
author = {Sobrinho, Jo\~{a}o Lu\'{\i}s},
title = {An Algebraic Theory of Dynamic Network Routing},
journal = {IEEE/ACM Trans. Netw.},
issue_date = {October 2005},
volume = {13},
number = {5},
month = oct,
year = {2005},
issn = {1063-6692},
pages = {1160--1173},
numpages = {14},
url = {http://dx.doi.org/10.1109/TNET.2005.857111},
doi = {10.1109/TNET.2005.857111},
acmid = {1103561},
publisher = {IEEE Press},
address = {Piscataway, NJ, USA},
keywords = {algebra, convergence, inter-domain routing, intra-domain routing, routing protocols},
}
@inproceedings{sachenbacher2011,
title={Efficient Energy-Optimal Routing for Electric Vehicles},
author={Sachenbacher, Martin and Leucker, Martin and Artmeier, Andreas and Haselmayr, Julian},
booktitle={AAAI},
year={2011}
}
@INPROCEEDINGS{delling2009a,
author = {Daniel Delling and Dorothea Wagner},
title = {Time-Dependent Route Planning},
booktitle = {Robust and Online Large-Scale Optimization, LNCS},
year = {2009},
publisher = {Springer}
}
@incollection{delling2009b,
title={Engineering Route Planning Algorithms},
author={Delling, Daniel and Sanders, Peter and Schultes, Dominik and Wagner, Dorothea},
year={2009},
booktitle={Algorithmics of Large and Complex Networks},
publisher={Springer Berlin Heidelberg},
isbn={978-3-642-02093-3},
volume={5515},
series={Lecture Notes in Computer Science},
editor={Lerner, Jürgen and Wagner, Dorothea and Zweig, KatharinaA.},
doi={10.1007/978-3-642-02094-0_7},
url={http://dx.doi.org/10.1007/978-3-642-02094-0_7},
pages={117-139},
language={English}
}
@inproceedings {eisner2011,
title = "Optimal Route Planning for Electric Vehicles in Large Networks",
year = "2011",
booktitle = "25th Conf. on Artificial Intelligence (AAAI)",
author = "Eisner, Jochen and Funke, Stefan and Storandt, Sabine"
}
@techreport{bast2014,
title={Route Planning in Transportation Networks},
author={Bast, Hannah and Delling, Daniel and Goldberg, Andrew and M{\"u}ller-Hannemann, Matthias and Pajor, Thomas and Sanders, Peter and Wagner, Dorothea and Werneck, Renato},
year={2014},
institution={MSR-TR-2014-4, Microsoft Research}
}
@article{dijkstra1959,
title={A note on two problems in connexion with graphs},
author={Dijkstra, Edsger W},
journal={Numerische mathematik},
volume={1},
number={1},
pages={269--271},
year={1959},
publisher={Springer}
}
@incollection{schoenfelder2014,
year={2014},
isbn={978-3-319-11166-7},
booktitle={Internet of Vehicles – Technologies and Services},
volume={8662},
series={Lecture Notes in Computer Science},
editor={Hsu, RobertC.-H. and Wang, Shangguang},
doi={10.1007/978-3-319-11167-4_3},
title={Efficient Profile Routing for Electric Vehicles},
url={http://dx.doi.org/10.1007/978-3-319-11167-4_3},
publisher={Springer International Publishing},
keywords={State-based; energy-efficient; time-dependent; flexible routing; profile search; electric vehicles},
author={Sch\"onfelder, Ren\'e and Leucker, Martin and Walther, Sebastian},
pages={21-30},
language={English}
}
@book{cao1984,
author = {Cao, Z-Q. and Roush, Fred W. and Kim, Ki Hang},
title = {Incline Algebra and Applications},
isbn = {0853127654 0470201169 0853128189},
publisher = {Ellis Horwood Chichester},
year = {1984},
type = {Book},
language = {English},
subjects = {Algebra},
life-dates = {1984},
catalogue-url = {http://nla.gov.au/nla.cat-vn532511}
}
@incollection{hansen1980,
year={1980},
isbn={978-3-540-09963-5},
booktitle={Multiple Criteria Decision Making Theory and Application},
volume={177},
series={Lecture Notes in Economics and Mathematical Systems},
editor={Fandel, Günter and Gal, Tomas},
doi={10.1007/978-3-642-48782-8_9},
title={Bicriterion Path Problems},
url={http://dx.doi.org/10.1007/978-3-642-48782-8_9},
publisher={Springer Berlin Heidelberg},
author={Hansen, Pierre},
pages={109-127},
language={English}
}
@article{geisberger2012,
title={Exact Routing in Large Road Networks Using Contraction Hierarchies},
author={Robert Geisberger and Peter Sanders and Dominik Schultes and Christian Vetter},
year={2012},
journal={Transportation Science}
}
@article{alshehri2012,
title={Fuzzy Soft Incline Algebras},
author={Alshehri, NO},
journal={World Applied Sciences Journal},
volume={17},
number={12},
pages={1783--1788},
year={2012}
}