Lev Maergoiz

Rem Khlebopros

An optimization mathematical model of the distribution of bonus funds between participants of a working collective is proposed, if there is a rating of categories of work fruits in the direction of growth of their quality, their labor-consuming nature (quality scale) and a numerical scale that characterizes the amount of work done to manufacture the products of each category (quantity scale). A description of the models based on the following principles of an optimal distribution of limited resource: the principle of proportionality inside any category; the minimization principle of the quadratic functional depending on differences of the resource densities for the neighboring categories according to the rating; the direction principle. Its construction is illustrated on the example of the distribution of bonus funds in a research team. On the mathematical point of view this model does not differ from (worked out earlier) the distribution model of limited resource of social economic contents between consumers (people groups, which are under different conditions) in the presence of their rating and a numerical scale reflecting size of their needs.