On the control of a compound immigration process through total catastrophes

DOI10.1016/S0377-2217(02)00355-7zbMath1026.90091MaRDI QIDQ1873002

Antonis Economou

Publication date: 19 May 2003

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

dynamic programmingstationary distributionMarkov decision processcatastrophescompound immigration process

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Dynamic programming (90C39) Markov and semi-Markov decision processes (90C40)

Related Items (12)

Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes ⋮ Equilibrium balking strategies for a clearing queueing system in alternating environment ⋮ Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes ⋮ Markovian arrival process subject to renewal generated binomial catastrophes ⋮ A renewal generated geometric catastrophe model with discrete-time Markovian arrival process ⋮ Batch renewal arrival process subject to geometric catastrophes ⋮ Functional approach to the random mean of a compound Cox process ⋮ Computation of the optimal policy for the control of a compound immigration process through total catastrophes ⋮ A theoretical note on the distribution of a filtered compound doubly stochastic Poisson process ⋮ Optimal control and performance analysis of anM^X/M/1queue with batches of negative customers ⋮ Forecasting counting and time statistics of compound Cox processes: a focus on intensity phase type process, deletions and simultaneous events ⋮ Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes

Cites Work

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• Population growth with randomly distributed jumps
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• The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters
• Technical Note—An Equivalence Between Continuous and Discrete Time Markov Decision Processes
• Birth, immigration and catastrophe processes
• Optimal repair and replacement in markovian systems
• The extinction time of a general birth and death process with catastrophes
• Optimal control of a truncated general immigration process through total catastrophes

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