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The planning of business processes in sea transport is the foundation of transportation companies and technological projects development forecast. The calculations of business processes parameters are mainly complicated by the fact that most of the input values are stochastic ones. This is due to the specifications of technological processes and influence of a wide specter of external environment events (e. g., hydrometeorological and ice conditions) on the one hand, and market conditions (e. g., competition conditions, market agents behavior, exchange rate) on another hand. To provide the necessary level of results reliability, the calculations, that are implemented during research of specifical sea transport operations tasks (such as technological design of seaports), require to pay a great effort in experiments planning. Planning the experiments means the process of choosing the conditions, procedures and methods of experiments running. It also includes the definition of how many experiments should be provided. In other words, the purpose of experiments planning is providing the results maximum precision and reliability with minimum number of experiments. This element of research could take a whole volume in the scientific research. A method for implementing mathematical calculations with stochastic values, which allows you to define the form of the output probability distribution without Monte-Carlo method utilization, is suggested in the paper. It is proved in the paper that the output distribution is close enough to the results, which are calculated with conventional methods. At the same time, when the number of variables is small, the method requires less computational resources.

In order to analyze the effectiveness of interaction of the cargo terminal operator with customs authorities and participants in foreign economic activity, a four-sector model of the network diagram of the interaction stages between participants in the transport and logistics process at the sea cargo terminal is presented in the paper; the model allows visualizing and controlling the process of aggregated relationships during cargo operations and the provision of customs services in the area of seaports activity. Calculations of works time parameters are performed on the basis of a four-sector model, in which the event is divided into four sectors, where the number of the event is indicated on the top, the early start of work is indicated on the left, the late end of work is marked in the right sector, and the number of the initial event of the previous work is indicated in the lower sector, according to which the critical path passes. At the same time, simulation modeling of the system of relations between the participants in the transport and logistics process at the sea cargo terminal is carried out. When modeling by the Monte Carlo method, a set of parametric values presented in the form of a probability distribution is used. It is noted that the operations performed in the simulation are subject to the normal distribution law, since a large number of participants are involved in the transport and logistics system. The results of the algorithm operation are presented in the form of a data array, which is a sequence of works performed during the interaction of participants in the transport and logistics process at the sea cargo terminal. One of the methods for modeling randomly distributed variables is the Box-Muller generation method. The use of the Box-Muller method in the work makes it possible to apply the fundamental law of probability transformation to obtain two independent normal variables that have a standard normal distribution. Thus, the chosen method gives a set of random numbers that have a normal distribution with zero mean and unit standard deviation. The results of simulation modeling allow us to conclude that the aggregated system of relationship between participants in the transport and logistics process, which uses the technology of preliminary declaration in order to make a decision on the early placement of goods in the inspection zone, is effective.