The Machine Repair Problem with Heterogeneous Populations

DOI10.1287/OPRE.29.3.532zbMath0455.90031OpenAlexW2080783542MaRDI QIDQ3904349

Donald Gross, John F. Ince

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1287/opre.29.3.532

zbMATH Keywords

exact solutionsheterogeneous populationsmachine repairexponential failure timestwo classes of customersfirst-come first-served disciplineexponential repair timestwo-stage cyclic queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (9)

The efficiency of two groups of heterogeneous stations cared for by \(r\) operatives with a priority group ⋮ Marginal queue length approximations for a two-layered network with correlated queues ⋮ On the heterogeneous machine interference problem with priority and ordinary machines ⋮ Negotiation for service contracting: incentives, bargaining power, and customer risk aversion ⋮ A closed form solution for the G/M/r machine interference model ⋮ Scheduling policies for a repair shop problem ⋮ A cyclic-service finite source model with round-robin scheduling ⋮ Queueing network model for a single-operator machine interference problem with external operations ⋮ A mathematical programming approach to the machine interference problem with fuzzy parameters

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