The Distribution Of Seats And Class Named Model

With the development of science and technology, mathematical model plays an important role in the modern production, work and social life. Researching on distribution of seats number is one of the important resource allocation problems in human life, which aim is to be fair as could as possible in the big collectivity for the small one. The key is to establish a correct mathematical model to describe the resource unfair degree and it's variety in every small collectivities.This thesis discusses a type of mathematical model in allocation of resource, which is classical distribution of seats number, multi-criteria distribution of seats number and call-over in the classroom. Chapter 2, chapter 3 and chapter 4 are the major parts of this thesis. Our major research and innovation lies in:(1) Some mathematical models for classical distribution of seats number are proposed. Advantages and disadvantages are compared among these models, which have been verified by an actual problem. Then the integer programming model on distribution of seats number is studied, and points out that its optimum solution is sure to be founded within the scope of fitting some restricted conditions. Therefore, it will accelerate the rate of solving the model.(2) In order to discard the requirement for many problems to be solved by classical distribution of seats number, an evolutionary program method is proposed. The mathematical model about multi-criteria distribution of seats number is a generalization of the classical one. An example is shown that this model dealing with some problems of distribution is more fair and reasonable than that classical one.(3) The problem of call-over in the classroom, which is very useful in our life is studied and provided based on mathematical model. The strategy for call-over in the classroom is defined as the method of nonholonomic call-over, and the validity of the applied analog simulation experiments is tested. Then, another approach to nondeterministic calling-number is given, and two methods of call-over in the classroom are discussed.