A skill based parallel service system under FCFS-ALIS — steady state, overloads, and abandonments
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Publication:2921189
DOI10.1214/13-SSY117zbMath1305.60091OpenAlexW2052522365MaRDI QIDQ2921189
Gideon Weiss, Ivo J. B. F. Adan
Publication date: 7 October 2014
Full work available at URL: https://projecteuclid.org/euclid.ssy/1411044997
product form solutionservice systemsabandonmentoverloaded queuesassign longest idle server policycomplete resource poolingfirst come first served policylocal steady statematching of infinite sequencesmulti type customersmulti type skill based servers
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (22)
A Fluid Model for One-Sided Bipartite Matching Queues with Match-Dependent Rewards ⋮ The cost of collaboration ⋮ Parallel multi-type many server conjecture ⋮ Queueing with redundant requests: exact analysis ⋮ Fluid Models of Parallel Service Systems Under FCFS ⋮ A general stochastic matching model on multigraphs ⋮ Dynamic Stochastic Matching Under Limited Time ⋮ Stability regions of systems with compatibilities and ubiquitous measures on graphs ⋮ Local stability in a transient Markov chain ⋮ Many-server scaling of the N-system under FCFS-ALIS ⋮ On the instability of matching queues ⋮ Stability of JSQ in queues with general server-job class compatibilities ⋮ Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overview ⋮ A survey on skill-based routing with applications to service operations management ⋮ Design heuristic for parallel many server systems ⋮ Matching queues with reneging: a product form solution ⋮ Directed FCFS infinite bipartite matching ⋮ Pass-and-swap queues ⋮ Reversibility and Further Properties of FCFS Infinite Bipartite Matching ⋮ A product form for the general stochastic matching model ⋮ On the Optimal Design of a Bipartite Matching Queueing System ⋮ A Token-Based Central Queue with Order-Independent Service Rates
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