Monotonicity and supermodularity results for the Erlang loss system

DOI10.1016/j.orl.2009.03.007zbMath1167.90458OpenAlexW2113005194MaRDI QIDQ833597

K. B. Öner, Gudrun P. Kiesmüller, Geert-Jan van Houtum

Publication date: 14 August 2009

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/da94f135-4be8-427b-aff5-c8dc0a2257fb

zbMATH Keywords

Erlang loss systemmonotonicity resultsample path proof

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (3)

Stochastic Comparisons of Symmetric Supermodular Functions of Heterogeneous Random Vectors ⋮ Optimizing stock levels for rental systems with a support warehouse and partial backordering ⋮ Optimization of component reliability in the design phase of capital goods

Cites Work

• Cost optimization in the \((S-1,S)\) lost sales inventory model with multiple demand classes
• Convexity Properties of the Erlang Loss Formula
• The Optimal Input Rates To A System Of Manufacturing Cells
• A Queuing Model for an Inventory Problem

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