Several times people on the earth are aicted by the strike of unpredictable phenomena like a disaster. Although some non-governmental organization (NGO) involving in disaster relief operation, prepositioned some resources in disaster-prone areas, but it is not sucient for all times. Sometimes, due to the high intensive devastation, help for providing relief is requested to the other national or international aid. This research has introduced a mathematical model for humanitarian logistic considering two optimization criteria minimize the total cost and total time of the relief logistic operation with a collaboration of resource collection

by the NGOs.