Mathematics of the market. Problem book. Alexander Berlin

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

      P_queue – 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

      t_consum-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

      Introduction

      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.

      At the initial stage of introduction of goods in the market arise questions.

      1. The value of the demand for this product

      2. Possible revenues.

      3. The reliability of the repayment of the loan (in the case of receipt).

      At the stage supply of batch of goods need consider the competition.

      1. How affect, the behavior of market competitors (the increase of the supply of goods or their reduction).

      2. The effect on the demand the appearance on the market of new competitors.

      3. As the influence of external factors (disasters, weather, etc.).

      4. The pricing policy. Interest rates, money supply.

      5. Different properties of the market.

      We are considering the properties of the market.