Sample-path analysis of stochastic discrete-event systems

DOI10.1007/BF01439158zbMath0801.93056MaRDI QIDQ1314854

Shaler jun. Stidham, Muhammad El-Taha

Publication date: 1993

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

zbMATH Keywords

sample-patharrivals see time averagesrate stability

Mathematics Subject Classification ID

Stochastic systems in control theory (general) (93E03) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

Little laws for utility processes and waiting times in queues ⋮ Stability of a GI/G/1 Queue: A Survey ⋮ Pathwise rate-stability for input-output processes ⋮ Filtration of ASTA: A weak convergence approach ⋮ Pathwise stability of multiclass queueing networks ⋮ A note on sample-path stability conditions for input-output processes

Uses Software

• ASTA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Palm probabilities and stationary queues
• A review of \(L=\lambda W\) and extensions
• Conditional PASTA
• Stationary random processes associated with point processes
• A filtered ASTA property
• Deterministic analysis of queueing systems with heterogeneous servers
• Sample path analysis of level crossings for the workload process
• A note on sample-path stability conditions for input-output processes
• Sample-path analysis of processes with imbedded point processes
• On remaining full busy periods of GI/G/c queues and their relation to stationary point processes
• The derivation of invariance relations in complex queueing systems with stationary inputs
• Further results on ASTA for general stationary processes and related problems
• The equality of the workload and total attained waiting time in average
• A Note on a Sample-Path Rate Conservation Law and its Relationship withH=λG
• On Arrivals That See Time Averages
• The intensity conservation law for queues with randomly changed service rate
• The Relation between Customer and Time Averages in Queues
• Poisson Arrivals See Time Averages
• On rate conservation for non-stationary processes
• An elementary proof of Sengupta's invariance relation and a remark on Miyazawa's conservation principle
• On conditional AstA: A Sample-Path Approach
• H = λG and the Palm transformation
• An invariance relationship for the G/G/1 queue
• Technical Note—A Last Word on L = λW
• A Swiss Army formula of Palm calculus
• The equality of the virtual delay and attained waiting time distributions
• Rate conservation for stationary processes

This page was built for publication: Sample-path analysis of stochastic discrete-event systems