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Acronyms

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Relative- relative consumption.

Areal real consumption.

Amax-maximum possible consumption.

serv (t1, 2) = serviced supply of batch n in the interval of

time (t1, t2)

Aincoming. (t1,t2)  incoming supply goods for a period of time (t1, t2)

Alost (t1, t2– 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

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

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

Closs – losses requests;

Crequest- received requests.


E1,n (A) – value of loss for the consumer system, numerical table values for the first Erlang formula.

E2, n (A) – value of loss for the consumer system, numerical table values for the second Erlang formula.


request, – losses in the number of requests received for supply of goods,


goods – the losses in volume of the goods,

Pt. – the losses the time of realization

p (γ> 0) — probability that the waiting time is greater than zero


p (γ> t) – probability that the waiting time of incoming batch of goods anymore t.

Pqueue – probability of having a queue of at least one consignment, the probability of the queue n

p (R> r) – probability that a length of a queue is greater of given value r

tconsum-average duration of consumption for consumers

TGD. The time of greatest demand

α- parameter of the flow of batches of goods in a free state

β – duration of product consumption

γ‘- average waiting time for batch of goods incoming on the market.

γ ̅delay  average waiting time of batch of goods the queue.

λ s (t) -а parameter primitive flows

Mathematics of the market. Problem book

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