The investigation of metrics in multiple perspectives is dealt in this paper for a bi-criteria travelling salesman problem (BTSP). By representing the problem in a graphical view, its corresponding metrics in terms of graph theory is estimated. With the programming viewpoint a program using Java programming language is implemented to solve a BTSP. The development of efficient software requires metrics, which is measured to highlight the performance of the software. The application can also be viewed in management perspective through which the solutions in reality are discussed. These approaches can be served as an essential device for the decision makers when they are dealing different varieties of logistics problems comprising two criterions.