Модель оптимизации логистического сервиса торгового предприятия
The concept of cross-functional coordination defines the interaction of business units, which gives the overall optimal results of the company. Difficulties associated with interaction of the various units are typical for enterprises of different sectors of economy. One of the most important issues in trade enterprises is the problem of interaction of departments of marketing and logistics in determining the optimum level of customer service. The problem is in searching a balance between the level of logistic service provided to consumers, and the level of total logistic costs associated with maintaining a defined level of service. The purpose of this study is to develop a mathematical optimization model of logistic service of trade enterprises. It is assumed that logistic service of the enterprise has a number of components (indicators) of service, each of which has different variants (possible values). Implementation of the service component in a particular variant, affect the values of revenue and total costs of the enterprise. It is necessary to find such a combination of variants of service components, which will provide the maximum profit for trade enterprise. To achieve this goal the analysis of the external environment of trade enterprise is carried out; conceptual and structural optimization models are developed. On their basis the mathematical model of linear programming (LP) is developed. The LP model is tested on a numerical example, so a tabular model is also created. For the stage-by-stage solution of the optimization problem, the LP model is transformed to model of dynamic programming. The limits of applicability of the models are defined. The study developed a mathematical model of linear programming with Boolean variables, which provides finding optimal variants of logistic service components and complies with the restrictions. As an alternative, a dynamic programming model is developed. An important advantage of this model is the possibility, during the phased decision-making, to implement a satisfactory solution, from the point of view of decision-maker, and not mathematically optimal solution. The progress and results of the study shows that total logistic costs, which are the main component of models, require detailing, and the process of their formation - definition of mathematical ratios, with the aim of developing integrated model for determining the optimal level of service and costs of subsystems of the logistics system of trade enterprise.