Mathematics of the market. Service random flow

Mathematics of the market. Service random flow
Alexandr Berlin

The book offers a new approach to the calculation of economic processes. This approach allows to obtain very interesting data: – to define a generic mathematical description of the goods. In book gives a mathematical market model, it is shown that calculations of the parameters of the market can be carried out according to the formulas of the Queuing theory, in particular according to the formulas of erlang, Engset, etc; to define formulas that reflect the relationship between supply and demand

Mathematics of the market

Service random flow

Alexandr Berlin

© Alexandr Berlin, 2017

ISBN 978-5-4485-9239-3

Created with Ridero smart publishing system

A (P

). – relative consumption. The proposed load;

A

(t

, t

) – the difference between the incoming supply of goods and serviced supplies of goods;

A

. (t

, t

) – incoming supply of goods over a period of time (t

, t

);

A

. (t

, t

) – the sum of the quantities of goods handled by consumer group during the period (t

, t

.;

A 

. – the demand value for time of greatest demand;

A

. – the demand value during the observation;

a – the load intensity coming from a single source;

c‘

s the number of received requests;

c‘

– the number of serviced requests;

c‘

 – the number of lost requests;

c‘– average length of queue or average numbers delays batches of goods;

P

– maximum consumption;

P 

. – losses of volume of goods;

P 

. – losses in the number of requests for suggestion of goods;

P 

. – losses of volume of goods;

P t- losses of implementation time;

p (γ> 0) the probability that the waiting time is greater than zero – that is, the probability of queue;

p (γ> t) – the probability of waiting for any incoming product over time t;

p (R> r) – the probability that the queue length exceeds the specified value r);