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\section{Pre-positioning planning for emergency response with service quality constraints}  Rawls and Turnquist \cite{RawlsTurnquist2011} develop their previous work, \cite{RawlsTurnquist2010}, by hiring reliability set over concept, in which this strategy ensures that with at least {\alpha}- \% \alpha  probability all demands are met and ensures that demand point with average shipment distance less than a specific limit, will receive supplies. The additional constraints' effect is illustrated on case study for hurricanes in the South-eastern United States.