Inverse Linear Optimization Problems For The Quantitative Analysis Of Management Innovation

Management innovation is a creative activity to re-organize the organization's resources in a newer and more efficient way, so as to realize the goals and responsibilities much more effectively. In fact, it plays an important role and has very large impacts during the company's development. From Taylor's Scientific Management to the Total Quality Control, and then to the Supply Chain Management that has been paid much more attention to till now, for example, all these management innovation results have greatly improved the products quality and heightened the production efficiency, and so strengthened the company's competitive abilities.From the present status at home and abroad, we know that the domestic research of the management innovation is mainly on the demonstrations such as the case studies and mode analysis et al; however, the overseas concerns is more about the innovation management, but not the management innovation. Although there are some definite relations between these two concepts, they have obviously different contents and methods, for instance. Therefore, we can conclude that there are still few concerns with the general theories of the management innovation activities, say nothing of those that can do some quantitative analysis about the innovation strategies and orientation as well.As for this, in the thesis, we try to introduce the inverse optimization theory into the analyzing processes of management innovation based on the enterprises' linear economic systems hypothesis. Surrounding the inner relationships between Schumpeter's innovation concept and the linear programming (LP) models of the enterprise and starting off from the management innovation's practice background, two kinds of the inverse linear optimization problems - the standard inverse LP and the inverse optimal value problem of LP - are studied respectively. By redefining and extending these methmatical models, on the one hand, we offer a quantitative method and technique tools for drawing the management innovation's orientation and its concrete strategies; On the other hand, we enrich the current extents of the inverse optimization research, and expand the areas of its applications. And through the discussion of their localizations, a method is put forward to improve the optimal value of the objective function further by adjusting the LP's technique coefficients but not changing the optimal solution's structure, and the model is endowed with the inherent meanings of management innovation as well.