Mathematical Modelling for Hub and Spoke Technology

Abstract

This dissertation thesis with title „Mathematical modelling for hub and spoke technology“ has analyzed the possibilities of the mathematical modelling methods for hub and spoke technology. In the chapter 1 we describe the hub and spoke technology in the distribution logistics. In the chapter 2 we formulate 4 targets for the dissertation work: - to create the mathematical models for optimal architecture of hub and spoke technology system designed for one-way and two-ways flows of goods and to validate their functionality, - to create the mathematical models for vehicle fleet selection (regarding vehicles capacity) and to validated their functionality, - for model including two-ways flow of goods for fleet selection to create the mathematical model for optimizing the total cost and validate its functionality. to search the applicability of models to validate in the problem with bigger quantity entry data, - to search the applicability of models to validate in the problem with bigger quantity entry data. In the chapter 3 we have started analyzing the state of art about the mathematical modelling for hub and spoke technology. Targets of the dissertation thesis were got in the chapters 4,6 and 7. In the proposed models two criteria were used models two criteria were used: - the maximal distance of transportation, we want to minimize, - the cost of transportation, we want to minimize as well too. The functionality of the proposed models was validated in the model examples. In the chapter 8 we analyzed the benefits of this dissertation thesis for the science and for the practice. The dissertation thesis includes 5 new models that differ from the previous ones in fact these models were completed by: - they minimize the covered distance for one direction way and two-ways flow of goods, - they minimize the covered distance for one direction way and two-ways flow of goods together with the fleet selection according to their capacity, - they allow to minimize the total cost in the conditions of two-ways flow of goods with the fleet selection.