Fuzzy Human Considered Green Capacitated p-hub Transportation Problem: an Opposition Biogeography Based Optimization algorithm

چکیده مقاله

Hub networks have always been an important issue in locating health facilities. Recently, a case study is investigated by Cocking et al. (2006) in Nouna health district in Burkina Faso, Africa, with a population of approximately 275,000 people living in 290 villages served by 23 health facilities. The travel times of the population to health services become extremely high during the rainy season, since many roads are unusable. In other words, for many people, travelling to a health facility is a deterrent to seeking proper medical care. Moreover, in real applications of hub networks, the travel times may vary due to traffic, climate conditions, and land or road type. In this paper, the travel times are assumed to be characterized by trapezoidal fuzzy variables to present a fuzzy green capacitated single allocation p-hub center system (FGCSApHCP) with uncertain information. The proposed FGCSApHCP is redefined into its equivalent parametric integer nonlinear programming problem using credibility constraints. The aim is to determine the location of p capacitated hubs and the allocation of center nodes to them in order to minimize the maximum travel time in a hub-and-center  network with uncertain environments. As the FGCSApHCP is NP-hard, a novel approach called Opposition biogeography based optimization is developed to solve it. This algorithm utilizes a binary opposition based learning to generate a diversity mechanism. Finally, the applicability of the proposed approach and the solution methodologies are demonstrated.

دریافت لینک دانلود مقاله