Mathematics of the market. Problem book

Mathematics of the market. Problem book
Alexander Berlin

This book supplements the theoretical principles already published in books [1.1].It studies the issues that arise at various stages of functioning of the market and offers their solutions by using methods of the mass service theory. The application of the proposed mathematical methods enables rigorous calculations of the desired parameters.

Mathematics of the market

Problem book

Alexander Berlin

© Alexander Berlin, 2019

ISBN 978-5-4490-5249-0

Created with Ridero smart publishing system

Acronyms

A 

- relative consumption.

A

real consumption.

A

-maximum possible consumption.

A 

 (t

, t 

) = serviced supply of batch n in the interval of

time (t

, t

)

A

. (t

,t

) — incoming supply goods for a period of time (t

, t

)

A

(t

, t

) – losses of demand on market during

time interval (t1, t2)

a – specific weight relative consumption

a (Engset formula) – mathematical expectation and intensity of the

batches of goods from a single source

c

 – average volume of one purchase (units) in one moment of time.

C

– average queue length (average number of detained batch of goods)

C

– losses requests;

C

-

received requests.

E

 (A) – value of loss for the consumer system, numerical table values for the first Erlang formula.

E

(A) – value of loss for the consumer system, numerical table values for the second Erlang formula.

P