A REVERSIBLE ERLANG LOSS SYSTEM WITH MULTITYPE CUSTOMERS AND MULTITYPE SERVERS

DOI10.1017/S0269964810000161zbMath1235.60124MaRDI QIDQ3087803

Gideon Weiss, Ivo J. B. F. Adan, Cor A. J. Hurkens

Publication date: 17 August 2011

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

zbMATH Keywords

reversibilityproduct form distributiongeneral service time distributionmultiple customersassignment of serversmultiple Erlang loss system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Traffic problems in operations research (90B20)

Related Items

A product form solution to a system with multi-type jobs and multi-type servers ⋮ ON THE ADAN–WEISS LOSS MODEL HAVING SKILL-BASED SERVERS AND LONGEST IDLE ASSIGNMENT RULE ⋮ Product forms for FCFS queueing models with arbitrary server-job compatibilities: an overview ⋮ Stability condition of a multi-class modified Erlang system ⋮ A LOSS SYSTEM WITH SKILL-BASED SERVERS UNDER ASSIGN TO LONGEST IDLE SERVER POLICY ⋮ Reversibility and Further Properties of FCFS Infinite Bipartite Matching ⋮ A skill based parallel service system under FCFS-ALIS — steady state, overloads, and abandonments ⋮ A Token-Based Central Queue with Order-Independent Service Rates

Cites Work

• Dimensioning hospital wards using the Erlang loss model
• Exact asymptotics for the stationary distribution of a Markov chain: a production model
• Fluid Models for Overloaded Multiclass Many-Server Queueing Systems with First-Come, First-Served Routing
• Fcfs infinite bipartite matching of servers and customers
• Load balancing for redundant storage strategies: Multiprocessor scheduling with machine eligibility