Zhen, Qiang; Leeuwaarden, Johan; Knessl, Charles - In: Mathematical Methods of Operations Research 72 (2010) 3, pp. 453-476
We consider the processor sharing M/M/1-PS queue which also models balking. A customer that arrives and sees n others in the system “balks” (i.e., decides not to enter) with probability 1−b <Subscript> n </Subscript>. If b <Subscript> n </Subscript> is inversely proportional to n + 1, we obtain explicit expressions for a tagged...</subscript></subscript>