7. Summary and conclusions
The important logistical decisions include inventory allocation, vehicle routing problem and supply
effectiveness. In this paper we have described and evaluated a vehicle routing problem of multi-supply centersystem with time constraint based on an improved GA operator. The proposed approach is based on an
improvement of GA crossover operator by edge-2 crossover. Also we have developed an improved GUI-based
program and applied to TSP-type problems benchmarks range from 10 to 99 customers TSPs of varied size of
nodes. It has been found that the proposed model is potentially efficient and useful in solving multi-supply
center problem. However the proposed model can be used for logistic decision makers to get best supply
schedule. For the academic users, we have developed software package and the user manual.We demonstrated
its performance through a set of sample problem. In the further studies, this model will be extended for various
GIS based applications such as 3-GIS based VRP model and the computer program could be developed for
more convenient for the users.