The aftermath of unpredictable events like disaster urges for logistic deployment with humanitarian aid to provide relief to the people in the affected areas. All the information about the requirements of the victims is also difficult to measure in the calamity. This research investigates the proper plan to response in the anarchic situation by introducing a mathematical model for solid transportation problem for disaster relief authority in uncertain environment with generalized type-2 intuitionistic fuzzy number, so that it can execute the relief operation in such catastrophe with uncertain information about demand. The objective of the mathematical model is to minimize the total transportation cost. The model is designed in two phases: the first phase initiates the transportation of humanitarian items from some central distribution center arranged by disaster management authority, non-governmental organization, humanitarian aid agencies etc. to some relief center where people can obtain help with proper relief. Through this research, one fact is noticed that after a fixed time interval, some items are finished in some relief center according to the consume rate of the items and some other relief centers are available with that items. So, this research has introduced a redistribution phase to mitigate the wastage of items as well as quick response with minimization of transportation cost. A numerical example is presented to show the efficiency of the model performance and solved using LINGO optimization solver. © Springer Nature Switzerland AG 2020.