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Optimising model of a portfolio of projects of a sustainable development

Criterion function of optimising model is maximisation of factor of productivity of the program Ur the companies


3 ? n a

I E a o

S D R = a w a ´ ç a

k n ÷ j m a x

a =1

and egrave; k

1) the Budget constraint (for simplification of model the budget constraint is unique resource restriction)

m

a c i ´ x i

i =1

and pound; C, where c i - the project budget, C - the general fund

means for a sustainable development, m -

quantity of realised projects

2) Balancing restriction - restriction on a level of development on separate aspects (DS a = SE a - S a ) (the specific line of optimising model connected with features of the concept Ur - balanced development on

n apravlenijam )


n a ? I E a

o n a

? I a o

n a ? I a o

DS a = a ç

k n ÷ - a ç

k n ÷ > t a ´ a ç

k n

a o k = 1 è a o

k = 1 è a o

a gain of an indicator of productivity on each aspect

3) Restriction on the maximum total of projects (in

dependences on command resources on management Ur)


m

a x i £ M

i =1

where M - a maximum quantity of projects Ur

4) Restrictions on a share of the reached purposes - the share of the executed strategic targets of the company (p) settles up as the relation of quantity of the purposes for an accounting period on which

target indicators have been reached, to the general number of objects in view (depending on a policy of the company, the purpose can be considered executed at achievement of the significance close to target)

p? P, where P - a required share of the reached purposes

Variants of formation of a portfolio of projects for an analyzed set of projects are presented in the table (the Table

20)

Table 20. Variants of a portfolio of projects Ur

< /td>
the Project Absence

actions

Realization

all initiatives

Maximization

productivity factor

Sub -

the optimum decision

A 0 1 0 0
B 0 1 1 1
C 0 1 1 1
D 0 1 1 1
E 0 1 1 1
F 0 1 1 1
G 0 1 1
J 0 1 0 0
K 0 1 0 0
L 0 1 1 1
M 0 1 < td> 1
P 0 1 1 1
Q 0 1 1 1
R 0 1 0 0
/td> 1 1 0
V 0 1 1 1
W 0 1 1 1
X 0 1 1 1 < /tr>
SDR 85,0 % 92,7 % 94,2 % 93,6 % Restrictions
and #8721; c i 0 1794 1491 1406 1500
and #8710; S ec 0 % 3 % 2 % 2 % 1 %

the Project Absence

actions

Realization

all initiatives

Maximization

productivity factor

Sub -

the optimum decision

and #8710; S en 0 % 12 % 15 % 13 % 1 %
and #8710; S s oc 0 % 8 % 10 % 10 % 1 %
and #8721; x i 0 26 20 19 20
p 9,1 % 63,6 % 57,6 % 51,5 % 50 %

the Offered portfolio Maximization of factor of productivity is the best at the set restrictions and allows to reach factor of productivity of the program Ur, equal 94,2 % at achievement of objects in view on 57,6 % of criteria of an estimation.

the analysis of sensitivity of optimising model depending on budget constraints also has been carried out.

In the table (Table 21) totals of factor of productivity of the program Ur are presented at the selected portfolio of projects.

table 21. The analysis of sensitivity of optimising model of formation of a portfolio of projects Ur on a budget constraint

< S s oc
the Budget constraint 900 1000 1100 1200 1300 1400 1500 Ogran ichenija
SDR 91,98 % 92,35 % 93,44 % 93,76 % 93,98 % 94,14 % 94,27 %
the Budget < /td> 856 927 1095 1149 1210 1325 1445 800
AND #8710; S ec 3 % 3 % 3 % 3 % 3 % 3 % 2 % 1 %
AND #8710; S en 11 % 12 % 13 % 14 % 15 % 7 % 9 % 9 % 9 % 9 % 9 % 1 %
Quantity of projects 14 15 17 18 19 19 20 20
p 51,5 % 51,5 % 51,5 % 51,5 % 57,6 % 60,6 % 60,6 % 50 %

Thus, it is possible to see 7 %, That the growth rate of an indicator of productivity of the program Ur is slowed down with expansion of budget constraints (while investments in size

856 thousand rbl. allow to raise productivity factor on

6,98 % of percentage item in comparison with basic data, increase of investments. To 1445 thousand rbl. allows to realise 6 additional projects, having raised thus factor of productivity of the program Ur only on 2,29 percentage items).

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A source: PERTSEVA Elena Jurevna. REALIZATION OF THE CONCEPT OF THE SUSTAINABLE DEVELOPMENT OF THE COMPANY ON THE BASIS OF DESIGN-PORTFELNOJ METHODOLOGY. 2013

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