Mathematical model of transport and warehouse processes in retail sales systems evolving traditional and online technologies

Introduction . The article is devoted to increasing the productivity of transport and warehouse processes with an emphasis on the analysis of operations performed in the warehouse. Household appliances and electronics retailers have been taken as an example for solving the problem, but the results of the study can be extended to retail systems based on traditional and online technologies.The productivity of integral parts of transportation and warehousing for the stores under investigation, such as vehicles for delivering goods and warehouse workers, has been given a differentiated assessment. The problems associated with unbalanced warehouse operation during peak sales periods are considered. The relevance of the study refers to statistical data confirming the growth of sales in this market segment. The purpose of the study is to develop a mathematical model that determines the relationship between the output of a warehouse of household appliances and electronics stores and the output of vehicles transporting goods. Materials and methods . The method of optimization of technological processes was used to develop the mathematical model. The solution of the problem is achieved through using the search method for output physical indicator with the adopted restrictions taken into account. Elements of transport and warehouse processes for mathematical description include the output per each warehouse worker performing a specific operation; the output of each vehicle performing a specific task in the warehouse. Planning is considered on daily basis for the specific month of the year. Results and conclusions . The developed mathematical model defines that the output of all workers and rolling stock units ensures the necessary operations for processing the goods received at the warehouse. The mathematical model prescribes the required number of warehouse workers and vehicles, taking into account the output of the entire work according to the efficiency criterion – profit. Directions for further research on practical implementation of the mathematical model include determining the probabilistic parameters of the model – output of warehouse workers and vehicles, time for processing an order by groups.