A Note on Common Mistakes about Stopped Random Sums Arising in Queueing Models

대기행렬 모형에서 틀리기 쉬운 정지랜덤합에 관한 소고

We frequently encounter stopped random sums when modelling queueing systems. We also notice occasional mishandling of stopped random sums in the literature. The purpose of this note is to prevent further mistakes by identifying and correcting typical mistakes about stopped random sums. As an example model, we use the two-phase M/G/1 queue with multiple vacations.