A blood bank model with perishable blood and demand impatience

DOI10.1287/stsy.2017.0001zbMath1390.60340OpenAlexW1752449192MaRDI QIDQ1704949

David Perry, Britt Mathijsen, Shaul K. Bar-Lev, Onno J. Boxma

Publication date: 14 March 2018

Published in: Stochastic Systems (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ssy/1519441213

zbMATH Keywords

Ornstein-Uhlenbeck processconfluent hypergeometric functionsscaling limitsblood bankshot-noise modellevel-crossings

Mathematics Subject Classification ID

Diffusion processes (60J60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (5)

Networks of \(\cdot /\mathrm{G}/\infty \) queues with shot-noise-driven arrival intensities ⋮ A blood bank model with perishable blood and demand impatience ⋮ Shot-noise queueing models ⋮ Double-sided queues with marked Markovian arrival processes and abandonment ⋮ Two queues with time-limited polling and workload-dependent service speeds

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A functional central limit theorem for a Markov-modulated infinite-server queue
• Steady-state GI/G/\(n\) queue in the Halfin-Whitt regime
• Supply chain management of blood products: a literature review
• Validity of heavy-traffic steady-state approximations in many-server queues with abandonment
• Queues with workload-dependent arrival and service rates
• Martingale proofs of many-server heavy-traffic limits for Markovian queues
• A blood bank model with perishable blood and demand impatience
• A diffusion approximation for a Markovian queue with reneging
• Many-server diffusion limits for \(G/Ph/n+GI\) queues
• Validity of heavy traffic steady-state approximations in generalized Jackson networks
• A diffusion approximation for a GI/GI/1 queue with balking or reneging
• Stochastic-Process Limits
• A queueing/inventory and an insurance risk model
• A NEW LOOK AT ORGAN TRANSPLANTATION MODELS AND DOUBLE MATCHING QUEUES
• A piecewise linear stochastic differential equation driven by a Lévy process
• The multiclass GI/PH/N queue in the Halfin-Whitt regime
• Applied Probability and Queues
• Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines
• FROM RUIN TO BANKRUPTCY FOR COMPOUND POISSON SURPLUS PROCESSES
• The Workload in the M/G/1 Queue with Work Removal

This page was built for publication: A blood bank model with perishable blood and demand impatience