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itjit =----, itjit


itjit = (iti) - itj;

itjit = (iti) - itj;

itjit - average efficiency of the enterprises of a chain adjusted for The enterprise j, calculated under following formulas:

For j = 1:;

For j = 2, 3..., n-1:;

For j = n:;

Economic sense itj the following:

Let's admit that in a technological chain one of the enterprises (the enterprise

j) it is replaced individual, which at calculations of all integrated indicators not

Renders influences on the general indicator of interaction, that is the data on

To this enterprise into formulas do not enter. The logical assumption further follows,

That, if the integrated indicators calculated without j th enterprise Above, than calculated taking into account the data of this enterprise, j th The enterprise the activity reduces integrated indicators.

Thus calculated for all enterprises PVj give the chance to us To estimate what of the enterprises the activity reduces integrated it in - degrees. Hence, this enterprise also is a bottleneck Technological chain.

Procedure of revealing of a bottleneck the following:

1. To all enterprises of a chain the serial number is appropriated in Conformity with definition it;

2. For each enterprise the indicator of interaction is calculated with The amendment on this enterprise;

3. The indicators of interaction calculated in item 2 are compared between


4. The greatest gets out of all indicators of interaction and is fixed

Enterprise number, the amendment on which it is made at calculation of the given

Interaction indicator;

5. The enterprise standing at fixed number is a bottleneck Chains.

Example 3.6. Let there are 5 enterprises, on which on initial and Final the periods there is a following information (tables 3.10, 3.11):

Table 3.10

Initial stage

The enterprises

iti, million rbl.

iti, million rbl.

1 500

1 200

1 800

2 000

1 000




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