Application of the robust capacitated vehicle routing problem with time Windows model on gallon water distribution

This study discusses the robust capacitated vehicle routing problem with time windows which pays attention to cost. A consumer’s relatively long service time will make it difficult to serve all consumers during regular working hours in the distribution of goods. It can delay the vehicle’s arrival to the next customer, and additional costs are required. To overcome this incident, a robust optimization formulation that considers time windows and costs is proposed. This problem arises, for example, in the distribution of gallon water with uncertain service times. The proposed model aims to minimize costs other than vehicle routes and schedules. Completion of the robust capacitated vehicle routing problem model with time windows that pays attention to is solved with the help of LINGO 13.0 software.