Mathematics of the market. Service random flow. Alexandr Berlin

of occurrence in the draw of lottery with numbers 5, 7, 15 will be the number 6. These events i can be described as moments of time.

      2 The sequence of intervals between the events – the moments of z₁, z₂,…,z_n

      Example, the probability that mobile phones will be shipped to the store every 7 days.

      In the lottery is, for example, the probability of occurrence number 6 every 5 lottery draws.

      3. A sequence of numbers k₁, k₂,…,k_n, determining the quantity of events arriving within the time intervals [t₀, t₁), [t₀, t₂),…, [t₀, t_n).

      Example, the probability that during 5 months (counted from the initial moment t₀ – t₁₅) fresh fish will goes on sale 5,6, … 10 times.

      2.2.1. Types of systems service goods

      Below show a classify service goods, it is widely used in queuing theory [2.1], but in the economy has not yet is applied.

      Types of systems service the goods is shown on Fig.2.2

      Figure 2. 2. Types of systems service the goods

      We will explain the figure

      System with obvious losses

      System, in which if the goods is not sold, then it is removed from the market, is called system with obvious losses

      System of service with the expectation

      System, in which if the goods is not sold, then it will stand is queued for implementation is called system of service with the expectasion

      2.2.2. The types of input flows

      The flow of goods is a sequence of goods incoming through any interval or at through any moments of time.

      Deterministic flow of events – the order in which events arrive in a certain, strictly fixed non-random moments or in certain, strictly fixed, non-random intervals. For example, sale of products from the conveyor.

      The random flow of events differs from the deterministic, those and only, that moments of supply of goods and intervals between deliveries are random variables, but not strictly fixed values. Deterministic flow is a special case of random flows and is rare in practice. Strictly speaking, even in such streams often occurs a random event.

      The flow of events can be determined by one or more of the three equivalent ways: