BookDOI
Vacation queueing models : theory and applications
Naishuo Tian,Zhe George Zhang +1 more
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M/G/1 Type Vacation Models: Exhaustive Service; General-Input Single Server Vacation models: Nonexhaustive service.Abstract:
M/G/1 Type Vacation Models: Exhaustive Service.- M/G/1 Type Vacation Models: Nonexhaustive Service.- General-Input Single Server Vacation Models.- Markovian Multiserver Vacation Models.- General-Input Multiserver Vacation Models.- Optimization in Vacation Models.- Applications of Vacation Models.- References.read more
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Book
Fundamentals of Matrix-Analytic Methods
TL;DR: This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods, especially useful for engineering analysis and design.
Journal ArticleDOI
Equilibrium customer strategies in a single server Markovian queue with setup times
TL;DR: A single server Markovian queue with setup times is considered, which assumes that arriving customers decide whether to enter the system or balk based on a natural reward-cost structure, which incorporates their desire for service as well as their unwillingness to wait.
Recent Developments in Vacation Queueing Models : A Short Survey
TL;DR: In this paper, the authors provide a brief summary of the most recent research works on vacation queueing systems in the past 10 years, including a survey of server's vacation models.
Journal ArticleDOI
Strategic Behavior and Social Optimization in Markovian Vacation Queues
Pengfei Guo,Refael Hassin +1 more
TL;DR: The strategic response of customers to a single server queueing system in which service shuts down when there are no customers present and is resumed only when the queue length reaches a given critical length is analyzed.
Journal ArticleDOI
Stochastic decompositions in the M/M/1 queue with working vacations
TL;DR: Stochastic decomposition structures of the queue length and waiting time in an M/M/1/WV queue are demonstrated, and the distributions of the additional queuelength and additional delay are obtained.