Fuzzy random programming models for location-allocation problem with applications

• A capacitated location-allocation problem with fuzzy random demands is discussed.
• Three fuzzy random programming models based on the mean chance are built.
• Some hybrid intelligent algorithms integrating GA and simulations are designed.
• A container freight station problem is given to illustrate the performance of algorithms.

Three types of fuzzy random programming models based on the mean chance for the capacitated location-allocation problem with fuzzy random demands are proposed according to different criteria, including the expected cost minimization model, the α-cost minimization model, and the chance maximization model. In order to solve the proposed models, some hybrid intelligent algorithms are designed by integrating the network simplex algorithm, fuzzy random simulation, and genetic algorithm. Finally, some numerical examples about a container freight station problem are given to illustrate the effectiveness of the devised algorithms.