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? xi = xi1 - xi0, i = 1..., n (n - quantity of factors),


iti0 - Planned value of i th factor in the investigated period;

iti1 - Actual value of i th factor in the investigated period.

3. Influence of a deviation of each factor on a total deviation is calculated

Actual value of an indicator of interaction from planned value

? Yxi = *? xi *, (n - quantity of factors),


? Y =? Yxi.

4. On the received value? Yxi it is defined, what deviation of the factor The maximum impact on a deviation of actual value it has made from Planned value.

5. If the research period consists of several time intervals,

To estimate influence of a deviation of actual values of factors from the planned

Values on a deviation of actual value it from planned it is possible on everyone

Interval. In this case for each time interval it is necessary to have Planned and actual values of corresponding factors. Having the initial Data it would be necessary to operate on algorithm.

Example 3.4. Let there is a resultant function Y and factors x1, x2, x3, Let's fill table 3.7:

Table 3.7

Initial stage

The final period

Resultant function



The factor 1

The factor 2

The factor 3

Then influence of change of the first factor on resultant change Functions

????????????????????????????????????? Yit1 = (it11 - it10) * it21 * it31;

????????????????????????????????????? Yit2 = it10 * (it21 - it20) * it31;


???????????????????????????????????????Yit3 = it10 * it20 * (it31 - it30).

To check up correctness of calculations it is possible by means of the following formula:

?????????????????????????????????? Y = Y1 - Y0 =? Yit1 +? Yit2 +? Yit3.

Having applied a method of chain substitutions, it is possible to reveal what change from

Factors has to the greatest degree affected efficiency decrease Activity of a technological chain.

Example 3.5. We will fill table 3.8:

Table 3.8

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