Here we use the following notations:

• SI — sources of income (piece goods);
• PPI — payback period of investment.

     General properties of the task:

• task type — 3;
• diversity of SI profitability — varying (see definit.);
• option of SI realization — on their definite profitability;
• option of accounting SI realization period:
  • by its limitation (option 1);
  • by setting its parameters (option 2);
• number of same-type SI purchased by one request — one;
• payback factor — return on initial SI cost in absence of investment;
• the need for statistical modeling — is.

     Given:

• total cost of all initial SI;
• payback parameters:
  • maximum and minimum values ​​of PPI;
  • number of PPI values;
  • rate of return during PPI on the cost of all initial SI;
• for option 1:
  • deadline of realizing acquired SI;
  • condition of presence (yes) or absence (no) of clearance sale with markdown for those SI that are left after the deadline of their realization;
• for option 2:
  • control period of realizing acquired SI;
  • maximum probability of incomplete realizing SI of each type during this period;
• number of SI types, for each of them are given:
  • SI sample description;
  • number of initial SI;
  • number of submitted requests for realizing SI;
  • number of proceeds options for SI realization, for each of them are given:
    • expected proceeds from realizing one SI;
    • expected intensity of entry of requests for SI realization;
  • for option 1 in the presence of clearance sale with markdown for remaining SI:
    • markdown factor for remaining SI at their clearance sale.

     Maximized quality criterion:

• at restriction of a period of realizing SI (option 1) and in absence of clearance sale for remaining SI — total proceeds from SI realization;
• in all other cases — absolute income from SI realization.