Paper Info
Title
Some results for inhomogeneous birth-and-death process with application to staffing problem in telecommunication service systems
Abstract
This paper proposes some analytical results that may facilitate long-term staffing problem in high-level telecommunication service systems (such as information call centers) in which rates of processes, that govern their behaviour, depend on time. We assume that except for arrivals of requests and their service there happen periodic system breakdowns (possibly with very long inter-breakdown periods). The staffing objective is “immediate service of a given percentage of incoming requests”. A natural model for such a time-varying processes is an innhomogeneous birth-death process for which we propose some general theoretical results concerning its ergodicity conditions and limiting behaviour. As an example we show that if the service system is modelled by multiserver queue Mt/Mt/S with state-dependent periodic arrivals, services and breakdown rates, then using obtained results one can calculate the quantities needed for the solution of optimization problem. Accuracy of approximation is briefly discussed.
Year
DOI
Venue
2015
10.1109/ICUMT.2015.7382436
2015 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)
Keywords
Field
DocType
inhomogeneous birth-and-death process,catastrophes,weak ergodicity,rate of convergence,limiting characteristics
Ergodicity,Staffing,Computer science,Queue,Service system,Operations research,Rate of convergence,Periodic graph (geometry),Telecommunications service,Optimization problem
Conference
ISSN
Citations 
PageRank 
2157-0221
1
0.38
References 
Authors
6
5
Name
Order
Citations
PageRank
Alexander I. Zeifman14417.93
Anna Korotysheva2115.32
Rostislav Razumchik399.46
Victor Korolev41611.26
Sergey Shorgin51912.04