Total Time Minimization Solid Transportation Problem

Abstract

The problem of minimizing total cost of transportation problem is one of many well-structured problems in operations research that has been studied in detail. The transportation problem is one of the subclass linear programming problems which are similar in that they all require a linear function of a set of variables is optimized while the variables themselves satisfy a number of linear constraints for which simple and practical computational procedures have been developed. The time minimization transportation problem is one in which a time is associated with each shipping route and the objective is to minimize the maximum time to transport all supply to the destinations. The problem become more complex in case of solid transportation problem .In the present work The total time solid transportation problem is considered in which the objective is to minimize the time of active transportation routes. The present thesis contain three chapters. Chapter 1 is introducing in nature in which literature related to the work is also presented. Time minimizing solid transportation problem (Bhatia et.al.1976) has been reviewed in chapter 2. In chapter 3,a total time minimization solid transportation problem is formulated and procedure to find it solution has been developed.