@article {1432,
	title = {The determination of optimal treatment plans for Volumetric Modulated Arc Therapy (VMAT)},
	journal = {European Journal of Operational Research},
	volume = {272},
	year = {2019},
	pages = {372-388},
	abstract = {<p>The success of radiation therapy depends on the ability to deliver the proper amount of radiation to cancerous cells while protecting healthy tissues. As a natural consequence, any new treatment technology improves quality standards concerning primarily this issue. Similar to the widely used Intensity Modulated Radiation Therapy (IMRT), the radiation resource is outside of the patient{\textquoteright}s body and the beam is shaped by a multi-leaf collimator mounted on the linear accelerator{\textquoteright}s head during the state-of-the-art Volumetric Modulated Arc Therapy (VMAT) as well. However, unlike IMRT, the gantry of the accelerator may rotate along one or more arcs and deliver radiation continuously. This property makes VMAT powerful in obtaining high conformal plans in terms of dose distribution; but the apertures are interdependent and optimal treatment planning problem cannot be decomposed into simpler independent subproblems as a consequence. In this work, we consider optimal treatment planning problem for VMAT. First, we formulate a mixed-integer linear program minimizing total radiation dose intensity subject to clinical requirements embedded within the constraints. Then, we develop efficient solution procedures combining Benders decomposition with certain acceleration strategies. We investigate their performance on a large set of test instances obtained from an anonymous real prostate cancer data.</p>},
	keywords = {algorithms, Benders decomposition, integer programming, Radiation therapy, VMAT},
	issn = {0377-2217},
	doi = {https://doi.org/10.1016/j.ejor.2018.06.023},
	url = {https://www.sciencedirect.com/science/article/pii/S0377221718305514},
	author = {P{\i}nar Dursun and Z C Ta{\c s}k{\i}n and I. Kuban Altinel}
}
@article {kuccukaydin2011discrete,
	title = {A discrete competitive facility location model with variable attractiveness},
	journal = {Journal of the Operational Research Society},
	volume = {62},
	number = {9},
	year = {2011},
	pages = {1726{\textendash}1741},
	publisher = {Nature Publishing Group},
	author = {K{\"u}{\c c}{\"u}kayd{\i}n, H and Necati Aras and I. Kuban Altinel}
}
@article {4756751,
	title = {{Discrete approximation heuristics for the capacitated continuous location-allocation problem with probabilistic customer locations}},
	journal = {Computers \& Operations Research},
	volume = {36},
	year = {2009},
	pages = {2139{\textendash}2148},
	doi = {10.1016/j.cor.2008.08.003},
	author = {Engin Durmaz and Necati Aras and I. Kuban Altinel}
}
@article {2526247,
	title = {{The design of optimum component test plans for system reliability}},
	journal = {Computational Statistics \& Data Analysis},
	volume = {50},
	year = {2006},
	pages = {3099{\textendash}3112},
	doi = {10.1016/j.csda.2005.06.015},
	author = {Orhan Feyzioglu and I. Kuban Altinel and S{\"u}leyman {\"O}zekici}
}
@article {48044444,
	title = {{Dynamic component testing of a series system with redundant subsystems}},
	journal = {Iie Transactions},
	volume = {33},
	year = {2001},
	pages = {1093{\textendash}1108},
	doi = {10.1023/A:1010922720237},
	author = {I. Kuban Altinel and S{\"u}leyman {\"O}zekici}
}
@article {1654599,
	title = {{Discrete vector quantization for arbitrary distance function estimation}},
	journal = {IEEE Transactions on Systems, Man, and Cybernetics},
	volume = {28},
	year = {1998},
	pages = {496{\textendash}510},
	doi = {10.1109/3477.704289},
	author = {John Oommen and I. Kuban Altinel and Necati Aras}
}
@article {26063414,
	title = {{A dynamic model for component testing}},
	journal = {Naval Research Logistics},
	volume = {44},
	year = {1997},
	pages = {187{\textendash}197},
	doi = {10.1002/(SICI)1520-6750(199703)44:2<187::AID-NAV3>3.0.CO;2-5},
	author = {I. Kuban Altinel}
}
@article {14442391,
	title = {{The design of optimum component test plans in the demonstration of system reliability}},
	journal = {European Journal of Operational Research},
	volume = {78},
	year = {1994},
	pages = {318{\textendash}333},
	doi = {10.1016/0377-2217(94)90043-4},
	author = {I. Kuban Altinel}
}
