An analytical study on impact of external transportation cost in linear programming problem and their application


The objective of this paper is to analyze the effect of external transport cost on the quality of logistics activities. In this paper, we analyze the impact of external transportation cost on short sea shipping. The aim of the research is to optimize the cost of transportation not only specifically but also another cost included in transportation costs. We measure certain parameters regarding internal transport cost which are isomorphic to each other in general cases under certain conditions.

The transportation problem is a special class of problem. Transportation problems may vary under certain conditions. We generally consider fuel charges, service charges, and vehicle charges for the necessary transport of an object from one place to another place. To achieve the Sustainable Development Goals-Agenda 2030 in the 21st century, it is necessary to create a safe environment on Earth. In most transport modes, the environment is a little affected. In the US, UK, and other countries, air pollution charges are separately paid to the service provider. Therefore, external transportation costs should be added to original transportation costs (internal transportation cost (ITC)).  We derive the mathematical expression of the linear programming problem after External Transportation Cost (ETC) is included. We analyze that if some variable which does not affect the environment, by default environmental maintenance cost is zero. From this, that variable cost is zero. In assignment theory, when an object is assigned, a path is created. In this case, if greatest value among EMC says ykl is less than or equal to the value of xij then path of assignment of transport a product is not change. If the greatest value among EMC say is less than or equal to the value of then the path of assignment of transporting a product is not changed.

Keyword: – External Transportation Cost (ETC), Environment Maintenance Cost (EMC), Transportation Path, Green Technology.

M. M. Trivedi1, Jaydeep A. Pandya2*