Premium
A Queueing Problem with Arrivals in Batches of Variable Size and Service Rate Depending on Queue Length
Author(s) -
Murari K.
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690490305
Subject(s) - bulk queue , queue , variable (mathematics) , queueing theory , mathematics , computer science , mathematical optimization , statistics , mathematical analysis , computer network
Abstract This paper deals with the behavior of a first‐come‐first‐served single channel queueing system with batch arrivals of variable size and a service rate biased towards maintaining the queue length at a pre‐assigned fixed number N. Laplace transform of the distribution function for queue length is obtained. Further, an approximate value of the generating function for queue length is obtained explicitly. Finally, some particular cases are discussed.