Management based on the application of operation research methods

S1	S2	S3	S4
S5
U1	Implement IP ATC	*	*			*
U2	Installation and reinstallation of subscriber devices	*		*		*
U3	Networking devices and computers	*	*			*
U4	Installation of fiber optic communication lines			*	*
U5	Repair of fiber optic communication lines			*	*	*
U6	Lease of communication channels				**
U7	Server rental	**		**

Table 2 shows the values of the lower and upper boundaries solvent demand in the planning period (year) for all types of services available in the product portfolio of a communications company.


TABLE 2 Lower (Н) and upper (В) boundaries of demand for services
(number of calls per year)

Service Code	Segments
	S1			S2			S3		S4			S5
	Н	В	Н		В	Н		В	Н	В	Н		В
U1	500	2000	1000		3000	-		-	-	-	700		2600
U2	300	1000	-		-	200		1500	-	-	100		1600
U3	40	700	60		500	-		-	-	-	160		1000
U4	-	-	-		-	200		1200	350	1500	-		-
U5	-	-	-		-	300		2000	140	1400	30		800
U6	-	-	-		-	-		-	100	500	-		-
U7	150	800	-		-	45		400	-	-	-		-

Table 3 shows the initial, limiting values of prices and price increments for each type of service j for each segment f. The types of cash resources needed to provide services, as well as the consumption rates for one service, are presented in Table 4.


TABLE 3 Initial, marginal prices and increments in service prices

Service (j)	Segment (f)	Starting price of service j on segment f (rub.)	Marginal price of service j on segment f (rub.)	The increment in the price of the service j on segment f (rub.)
U1	S1	10000	115000	13200
U1	S2		105000
U1	S5		142000
U2	S1	250	4000	375
U2	S3		5000
U2	S5		3000
U3	S1	400	6000	710
U3	S2		8800
U3	S5		7500
U4	S3	7000	64000	5700
U4	S4		58000
U5	S3	2000	12400	1180
U5	S4		14300
U5	S5		13800
U6	S4	12500	35000	2250
U7	S1	900	8600	770
U7	S3		6300

TABLE 4 Norms of resource consumption per service

Service code	Resource Name
	Employee Time Fund (hours)	Optical cable (km.)	Patch cord (km.)	Server uptime (hours)	Communication channel hours (hours)
U1	70	-	0,2	-	-
U2	8	-	0,02	-	-
U3	6	-	0,1	-	-
U4	10	0,9	-	-	-
U5	10	0,07	-	-	-
U6	4	-	-	-	720
U7	1	-	-	720	-
Available Total Resource:	347200	700	2000	172800	259200

In the table 5 presents data on the costs implementing one service through the cost one hour of work. In the table 6 shows the cost of a unit resources required to provide the first five services.
TABLE 5 Data on the cost of selling one service

Service code	The rate of time consumption per service (hour)	Cost of an employee’s work hour (rub.)	Implementation costs one service (rub.)
U1	70	250	17500
U2	8	200	1600
U3	6	200	1200
U4	10	250	2500
U5	10	250	2500
U6	4	250	1000
U7	1	250	250

TABLE 6 Unit Cost of Resources

Resource Name	Resource measuring Unit	Unit price of the resource (rub.)
Optical cable	km	40000
Patch cord	km	30000

The calculations were carried out using the Lindo program, designed to solve linear and partially integer programming problems. Using the results of solving the sequence of tasks obtained in the process of iterative increase in prices for communication services, a schedule is built for changes in profit from the provision of services depending on the number iterations of price changes (see Fig. 1).

Figure 1 Graph of profit versus step number of price changes


The values of supply volumes (V) and prices for communication services (P), as well as many segments at the seventh step of the iterative process of price changes, at which the maximum profit enterprise is achieved, will correspond to the optimal solution to the problem (see Table 7).
TABLE 7 Optimal values of the volume to the offer services (calls per year)

Service Code	Segment Code
	S1			S2			S3			S4			S5
	V	P	V		P	V		P	V		P	V		P
U1	2000	102400	2009		102400							700		102400
U2	300	2875				200		2875				100		2875
U3	40	5370	60		5370							160		5370
U4						200		46900	350		46900
U5						300		10260	140		10260	30		10260
U6									360		28250
U7	-	-				240		6290

It seems appropriate to provide alternative services, while the U7 service needs to be implemented only on the S3 segment (without access to S1). The maximum value of profit from the implementation of the considered set of services amounted to 390516,448 thousand rubles.

In the future, to reduce the dimension of the problem being solved and to select the most suitable market segments to work, it is proposed to use the hierarchy analysis method (T. Saati method) [5].
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