BMAP/G/1/N queue with vacations and limited service discipline
The paper considers a BMAP/G/1/N queue with single (multiple) vacation(s) under limited service discipline, i.e., a fixed limit \(L\) is placed before the server and the server will at most serve \(L\) customers during a busy period before going for vacation(s). Batches which upon arrival find not enough space in the buffer are either filly rejected, or a part of that batch is rejected. Section 2 gives the description of the model. Section 3 presents an analytic analysis of the model queue length distribution at various epochs. In Sections 4 and 5, the authors derive performance measures and describe the computational procedure along with numerical results.
scientific article; zbMATH DE number 5069186
scientific article