A Solid Transportation Model with Product Blending and Parameters as Rough Variables

TitleA Solid Transportation Model with Product Blending and Parameters as Rough Variables

 

SpeakerSamarjit KarDepartment of MathematicsNational Institute of Technology Durgapur

 

Date:  16:00-17:00 pm, June 27, 2014

 

Place: Conference Room A304, Department of Mathematical Science

 

Abstract: In this paper, we formulate a practical solid transportation problem with product blending which is a common issue in many operational and planning models within the chemical, petroleum, gasoline and process industries. This problem is formulated such a way, that raw materials from different sources with different quality (or purity) are to be transported to some destinations so that the materials received at each destination can be blended together into final product to meet minimum quality requirement of that destination. Also the problem is formulated with the parameters such as transportation costs, availabilities, demands as rough variables. We construct a rough chance-constrained programming (CCP) model for the problem with rough parameters on the basis of trust measure. This CCP model is then transformed into deterministic forms to solve the problem. Numerical example is presented to illustrate the problem and method. The results are obtained by using the standard optimization solver LINGO based upon gradient based optimization - Generalized Reduced Gradient (GRG) technique.

 

ContactBaoding Liu