 A Markovian inventory system with retrial and impatient customersM. Rajkumar, C. Alexander and G. Arivarignan International Journal of Operational Research, 2014, vol. 21, issue 2, 155-171 Abstract: We consider an inventory system in which the customers who arrive during the stock out period join an orbit of infinite size. The customers in the orbit are assumed not only to retry for their demand, may renege from the orbit at random time. This situation is modelled in this work by assuming Poisson arrivals for customers, exponential lead time for orders placed under (s, S) ordering policy, exponential time between successive attempts of retrial of a customer and exponential times for reneging by customers in the orbit. The condition for ergodicity of the system which is modelled as Markov processes is obtained. The joint probability distribution of the number of customers in the system and the inventory level is obtained in steady state case. The measures of system performance in the steady state are derived and the long run total expected cost rate is derived. The results are illustrated with numerical examples. Keywords: stochastic inventory; Poisson demands; lead times; negative customers; retrial demands; reneging; Markovian inventory systems; impatient customers; stock out periods; inventory modelling; ergodicity. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:21:y:2014:i:2:p:155-171 Access Statistics for this article More articles in International Journal of Operational Research from Inderscience Enterprises Ltd |
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