The logistic-oriented design of the supply chain is critical to the success of a company. Thus, the alignment of planning and control processes along the company's internal supply chain on logistical objectives represents a significant requirement. However it is accompanied by numerous challenges such as dynamism, complexity, a lack of clarity and single KPI optimization. Models - as simplified images of reality - are to overcome the above challenges due to their reducing (neglecting of unimportant reality features) and idealizing (simplifying essential properties) function. This paper reports about a research project currently conducted at the Institute of Production Systems and Logistics (Leibniz Universität Hannover, Germany). The aim of this project is to develop an integrative logistics model that links universally defined planning and control tasks to logistical variables in the core processes of a company's internal supply chain. After describing the historical development of production planning and control concepts and introducing the fundamentals of logistical models, the sequential approach to develop the new integrative logistics model is introduced. Based on the definition of logistical objectives for the core processes of the internal supply chain, control and actuating variables are deduced, planning and control tasks are assigned and an application-oriented design of the logistics model is developed.