@article {1429,
	title = {Using branch-and-price to determine optimal treatment plans for volumetric modulated arc therapy (VMAT)},
	journal = {Computers \& Operations Research},
	volume = {110},
	year = {2019},
	pages = {1-17},
	abstract = {<p>Volumetric Modulated Arc Therapy (VMAT) is the state-of-the-art technique for external radiation therapy treatment. In this method, radiation can be delivered continuously on one or more arcs during the rotation of the gantry of the linear accelerator. This property makes VMAT powerful in obtaining high conformal plans in terms of dose distribution within short treatment times. However, the apertures composed by the leaves of the multileaf collimator (MLC) system that shapes continuously the radiation are interdependent, which makes treatment planning hard. We propose a mixed integer linear programming model for VMAT planning problem and exact branch-and-price algorithms to solve it. The objective of the model is to minimize total radiation that is delivered to the patient, and pricing subproblem is decomposable by rows of the MLC and can be solved as a shortest path problem. We generate a large set of test instances from a real data set and evaluate the performance of the proposed branch-and-price algorithm. Computational results reveal that new algorithms are efficient and capable of finding optimal solutions for large problem instances.</p>},
	keywords = {Branch-and-price, Column generation, integer programming, Radiation therapy, Shortest path problem, VMAT},
	issn = {0305-0548},
	doi = {https://doi.org/10.1016/j.cor.2019.05.018},
	url = {https://www.sciencedirect.com/science/article/pii/S0305054819301315},
	author = {P{\i}nar Dursun and Z C Ta{\c s}k{\i}n and I. Kuban Altinel}
}
@article {1463,
	title = {Univariate Interval Censoring with Two Random Intervals},
	journal = {Social Sciences Research Journal},
	volume = {3},
	year = {2014},
	month = {Sep},
	pages = {1{\textendash}4},
	issn = {2147-5237},
	author = {K{\"o}n{\"u}l Bayramo{\u g}lu Kavlak}
}
@inbook {ekcsiouglu2013user,
	title = {A user experience study of airline websites},
	booktitle = {Design, User Experience, and Usability. Web, Mobile, and Product Design},
	year = {2013},
	pages = {173{\textendash}182},
	publisher = {Springer Berlin Heidelberg},
	organization = {Springer Berlin Heidelberg},
	author = {Mahmut Ek{\c s}io{\u g}lu and Kiris, Esin and \cCak{\i}r, Tu{\u g}ba and G{\"u}vendik, Merve and Koyut{\"u}rk, Efsane D and Y{\i}lmaz, Merve}
}
@article {dingecc2011using,
	title = {Using the continuous price as control variate for discretely monitored options},
	journal = {Mathematics and Computers in Simulation},
	volume = {82},
	number = {4},
	year = {2011},
	pages = {691{\textendash}704},
	publisher = {North-Holland},
	author = {Dinge{\c c}, Kemal Din{\c c}er and Wolfgang H{\"o}rmann}
}
@article {ekggouglu11uygulanan,
	title = {Uygulanan Kuvvet, Elkavrama Aral{\i}{\u g}{\i} ve Omuz Duru{\c s}unun Maksimal Kabul Edilebilir {\.I}zometrik ve Kesikli El Kontraksiyon Frekans{\i}na Etkileri},
	journal = {11. Ulusal Ergonomi Kongresi},
	year = {2005},
	pages = {67},
	author = {Mahmut Ek{\c s}io{\u g}lu}
}
@conference {Leydold;Hoermann:2001a,
	title = {Universal Algorithms as an Alternative for Generating Non-Uniform Continuous Random Variates},
	booktitle = {{M}onte {C}arlo {S}imulation},
	year = {2001},
	note = {Proceedings of the International Conference on {M}onte {C}arlo Simulation 2000},
	pages = {177{\textendash}183},
	publisher = {A. A. Balkema},
	organization = {A. A. Balkema},
	author = {Leydold, Josef and Wolfgang H{\"o}rmann}
}
@conference {2482925,
	title = {{Using Paradigm Plus CASE Tool in a Fusion-Based Application Development Project}},
	booktitle = {Technology of Object-Oriented Languages and Systems},
	year = {1999},
	pages = {424{\textendash}427},
	doi = {10.1109/TOOLS.1999.796516},
	author = {Nijaz Bajgoric and I. Kuban Altinel and Murat Draman and Ali Tamer {\"U}nal}
}
@article {Hoermann:1994b,
	title = {A universal generator for discrete log-concave distributions},
	journal = {Computing},
	volume = {52},
	number = {1},
	year = {1994},
	pages = {89{\textendash}96},
	keywords = {log-concave distribution, random number generation, rejection method, simulation},
	author = {Wolfgang H{\"o}rmann}
}
@conference {Hoermann;Derflinger:1994b,
	title = {Universal generators for correlation induction},
	booktitle = {Compstat, Proceedings in Computational Statistics},
	year = {1994},
	pages = {52{\textendash}57},
	publisher = {Physica-Verlag},
	organization = {Physica-Verlag},
	address = {Heidelberg},
	author = {Wolfgang H{\"o}rmann and Derflinger, Gerhard}
}
