# 2.2. Working out of the general model of functioning of a distributive network «the Tank farm - the gas station»

For system engineering of operating control by transportations of mineral oil in a network «NB - the gas station» (a tank farm - gasoline stations), and also planning of reliable work of all links of the yielded network taking into account a logistical principle «it is exact - in - time», is necessary to describe basic elements and to stipulate assumptions that will allow to generate the general structure of model of functioning and to choose corresponding mathematical methods for analytical calculations.

From the variants considered in partition 2.1 distrebjuternyh logistical networks we will choose as a basic variant "in": one NB, quantity of the gas station or complexes - M.Poskolku is a question of basic statement of a problem we will be limited to a variant when NB it is located in the centre, and the gas station - on periphery of considered area.

Let's evolve three basic objects, defining network functioning, namely: the gas station (//th); ATP, supplying a rolling stock for transportation of mineral oil; tank farm NB (fig. 2.5).

Gasoline station. The gas station is a final link of a considered logic chain. For the mathematical description of work of the gas station we will take advantage of a technique stated in works [62, 65]: the gas station is system of mass service with the limited length of turn of cars on a batch. The gas station duty is defined depending on key parametres characterising a stream of cars and corrected taking into account an arrangement of the gas station by means of corresponding factors, and also the indexes reflecting, in particular, nestatsionarnost of consumption of fuel from time of days, day of week and seasonal fluctuations of intensity of operation of cars within a year. The integrated algorithm of calculation of holiday of//th kind of fuel j-й the gas stations are resulted in drawing 2.6.

At the gas station description as element of a distributive network should be specified, first, what kinds of fuel are released at the yielded station (the general quantities N) \secondly, what containers of tanks for each kind of fuel Qy. If at the gas station presence of an insurance stock of//th kind of fuel, its size Q is provided. Should be considered in calculations; in that specific case 0 °. =0.

Fig. 2.5. Schemas of transportations of mineral oil in a distributive network

«NB - THE GAS STATION».

And - NB and the gas stations are removed from each other; - joint placement NB and ATP. Lj, Sj, Li0 - distance between objects; 1,2 restrictions on the shortest routes

Fig. 2.6. The integrated algorithm of calculation of holiday of//th kind of fuel j - oh the gas station

The integrated characteristic of consumption of//th kind of fuel is the basic for definition of the moment of time when there will be a tank devastation. Gas station operational analysis shows, that the integrated characteristic of the expense of fuel represents casual process gj (t), one of which realisations is resulted in drawing 2.7. In the same drawing realisation of fuel of other kind gi (t) which consumption on the average is less, than the first kind is resulted.

Fig. 2.7. Graphic interpretation of definition of time of anticipation of the order of g

For delivery of fuel with NB at the gas station: gi (t), gi (t), g2 (t) - casual realisations of the expense of fuel

At the casual moment of time 7} the tank is devastated. That sale of//th kind of fuel was not stopped and there was no clientele loss, the operator of the gas station should manufacture the order on NB at the moment of Г3 which also is a random variable. At this time in the tank will be there is a fuel stock 0з / (fig. 2.7).

Definition of time of anticipation of the order (order time) is manufactured under the formula

T = Ti-T3h (2.1)

From the formula (2.1) follows, that for calculation t it is necessary to know, besides characteristics of work of the gas station, the indexes connected with transportation process, and the parametres of work NB connected with holiday of//th kind of fuel. Hence, time of anticipation of the order t is the generalised parametre of a logistical chain reflecting a principle «is exact - in - time» and including characteristics of functioning of the gas station, NB and transportation process.

Depending on a casual combination of factors, and also under influence nestatsionarnosti the gas station works, separate realisations gift) will be various. In other words, from the point of view of the theory of casual processes [30, 67, etc.], they will represent ensemble of realisations with weak agitating (fig. 2.8). For the analytical description of ensemble of realisations it is necessary to know dependences on time of population mean Mg (t), dispersions Dgft), and so -

Fig. 2.8. Model for calculation of the distribution function of time of a devastation

The tank of//th kind of fuel at the gas station.

- Density of distribution of realisations of casual process of holiday of fuel ffg, t).

- Density of distribution of time of a devastation of the tank fft).

Distribution function F (g, t). Having taken advantage of a special mathematical apparatus, it is possible to calculate the distribution function of time of a devastation of the tank

## More on topic 2.2. Working out of the general model of functioning of a distributive network «the Tank farm - the gas station»:

**Chapter 2. Model building of functioning and techniques of an estimation of transportation process in a logistical network «the Tank farm - the gas station»**- the Appendix 3. The questionnaire for research of subjective preferences and stereotypes of behaviour of potential consumers of services of a distributive network "gas station-tank farm"
- 3.1. Formation of reference base for the organisation and management of transportations in a network «the Tank farm - the gas station»
**chapter 3. Organizational-methodical bases of maintenance of transportations in a network «the Tank farm - the gas station»**- 2.3. The Design procedure of characteristics of transportation process of delivery of mineral oil in a network «the Tank farm - the gas station» with principle use "precisely-in-time"
- Geiev Mauladi Arbievich. Organizational-economic management methods automobile transportations of mineral oil in a distributive network "the Tank farm - gasoline stations": the Dissertation of a Cand.Econ.Sci.: 08.00.05. - Stavropol,, 2007 2007
- the Program of research of structure of air-gas streams near to the gas station and their influence on district building
- 2.1 Classification of signs of working out and adaptation of mechanisms of functioning of network configurations of the integrated structures
- 4.2. Results of numerical modelling of distribution of air-gas streams from the gas station and the analysis of influence of emissions on an adjoining residential construction
**3. KOMPARATIVNYJ the ANALYSIS And the ESTIMATION of WORKING out And ADAPTATION of FUNCTIONING KLASTEROV And NETWORK STRUCTURES**- 2.1 Working out of model of functioning of a transport subsystem
- 2.1. Formation of a distributive network of gasoline stations with use of logistical principles
- 3.1. The estimation of the damage, put to environment as a result of gas station work