New averaging method to solve multi-objective linear programming problem for risk reduction in coastal region

Abstract

In this thesis, a new statistical averaging method (NSAM) is suggested to solve Multi- Objective Linear Programming Problem (MOLPP) by using new arithmetic averaging method, new geometric averaging method and new harmonic averaging method. Statistical averaging method (SAM) (arithmetic averaging, geometric averaging and harmonic averaging) has also been suggested to solve the same problem. Chandra Sen’s technique is a well-known method for making single objective from multi-objective program. All results of stated methods have been compared to Chandra Sen’s method. In this thesis, a computational technique using MATLAB codes has also been developed to show the feasible region of two-dimensional linear programming problems accurately as well as this method also gives the optimal solution. The coastal area of Bangladesh is frequently affected by various hazards like storm surges, flood, salinity and erosion caused by tropical cyclones, like sidr. Risks due to the hazards are serious concern for living beings along the coasts. Reduction of those damages of risks generated by the hazards has been focused in this research. The aim of this study is to investigate the solution of MOLPP using a new averaging method named as SAM and NSAM. Methods are applied to investigate the risk reduction capacity in the coastal area.