Simplified Swarm Optimization for the Heterogeneous Fleet Vehicle Routing Problem with Time-Varying Continuous Speed Function

Transportation planning has been established as a key topic in the literature and practices of social production, especially urban contexts. To consider traffic environment factors, more researchers are taking time-varying factors into account when scheduling their logistic activities. The time-dependent vehicle routing problem (TDVRP) is an extension classical Vehicle Routing Problem with Time Windows (VRPTW) by determining set optimal routes serving customers within specific time windows. However, few them use continuous speed function to express time-varying. In practice, many problems addressed fleet heterogeneous vehicles different capacities travel costs including fix variable costs. this study, Heterogeneous Fleet (HFPRP) Time-Varying Continuous Speed Function proposed. objective minimize distribution costs, which contained fixed acquiring fuel address problem, our research developed mathematical model proposed Simplified Swarm Optimization (SSO) heuristic for HFVRP Function.