Abstract
This chapter applies a system-point level-crossing approach (SPLC, abbreviated LC) to derive the steady-state pdf of the virtual wait and the actual wait (arrival-point wait) in single-server G/M/1, and multiple-server G/M/c queues. Sections 5.1 and 5.2 treat G/M/1 and Sect. 5.3 treats G/M/c \((c\ge 2)\). We assume arrivals occur according to a renewal process and service times are exponentially distributed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Brill, P.H. (2017). G/M/1 and G/M/c Queues. In: Level Crossing Methods in Stochastic Models. International Series in Operations Research & Management Science, vol 250. Springer, Cham. https://doi.org/10.1007/978-3-319-50332-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-50332-5_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-50330-1
Online ISBN: 978-3-319-50332-5
eBook Packages: Business and ManagementBusiness and Management (R0)