Compensation plan simulation modeling considering different random quantity distributions

The article reveals one of the decision support system (DSS) aspects in compensation plan (CP) problems. In particular, in the research simulation modeling is used to establish relations between functioning results of different CP. These results are total production and wage fund. The author claims, that formulas of different CP may be estimated in a different conditions by using simulation modeling, thus specific patterns may be reviled. Having those patterns, DSS in CP problems may be developed. And its predictions will come true with a high probability.
The article demonstrates simulation modeling of time-bonus and piecework CP`s. Patterns are described. According to the research piecework CP always has higher total production and wage fund results then time-bonus CP. Moreover, in the article other patterns after more complicated simulation modeling are shown.
The main research results are follows. First, models and conditions for simulation. Second, statistics gathered. Third, conclusions about independence of the CP results according to distribution random quantities and preset different constant parameters,

The simulation models include several principles. Models formulas are based on well known formulas, common sense, and “economic person” conception which was developed by S. Mill over 200 years ago and widely used in modern world. Moreover, formulas used in simulation models includes increasing/decreasing coefficients in order to consider randomicity of real economy. This random coefficient generated with a different distributions. These are normal, chi square, exponential, gamma. Simulation parameters were set according to economics logic to fit in common sense. Furthermore, different constants of CP`s are taken into account. Thus, over 2,5 billions combinations were considered. After overall simulations, statistics was gained and specific patterns are shown.