On the busy period in the queueing systemGI/G/1

A number of authors have studied busy period problems for particular cases of the general single-server queueing system. For example, using the now standard notation of Kendall [7],GI/M/1 was studied by Conolly [3] and Takacs [18]. Earlier work onM/M/1 includes that of Ledermann and Reuter [8] and Bailey [1]. Kendall [6], Takacs [17], and Prabhu [11] have consideredM/G/1.