Recent years have brought a surge of efforts in rethinking the vehicle's electrical and/or electronic (E/E) architecture as well as the development process to reduce complexity and enable automation, connectivity, and electromobility. Resource allocation is an important step of the development process that can influence the quality of the designed system. As the design space is large and complex, intuitive design can turn into a time-consuming process with sub-optimal solutions. Here, we present an approach to automatically map software components to available hardware resources. Compared to existing frameworks, our method provides a wider range of safety analyses in compliance with the ISO 26262 standard, encompassing aspects such as reliability, task scheduling, and automotive safety integrity level (ASIL) compatibility. We propose an integer linear programming (ILP)-based approach to perform the ASIL decomposition technique specified by the standard. This technique proves beneficial when suitable hardware resources are unavailable for a safety-critical application. We formulate a multi-objective optimization problem to minimize both the development cost and the maximum execution times of critical function chains. The effectiveness of the proposed approach is investigated on an exemplary case study, and the results of the performance analysis are presented and discussed.