Researcher:
Kanavetas, Odysseas

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Odysseas

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Kanavetas

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Kanavetas, Odysseas

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20182

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Researcher Of Publications: search.filters.isAuthorOfPublication.39185254-cbc6-4bac-a2b8-83d3611c2f99

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Now showing 1 - 2 of 2
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    PublicationOpen Access
    The “sensitive” Markovian queueing system and its application for a call center problem
    (Springer, 2018) Balcıoğlu, Barış; Kanavetas, Odysseas; Faculty Member; College of Engineering
    In this paper, we study the Mn/Mn/c/K+Mn queueing system where customers arrive according to a Poisson process with state-dependent rates. Moreover, the rates of the exponential service times and times to abandonment of the queued customers can also change whenever the system size changes. This implies that a customer may experience different service rates throughout the time she is being served. Similarly, a queued customer can change her patience time limits while waiting in the queue. Thus, we refer to the analyzed system as the “sensitive” Markovian queue. We conduct an exact analysis of this system and obtain its steady-state performance measures. The steady-state system size distribution yields itself via a birth–death process. The times spent in the queue by an arbitrary or an eventually served customer are represented as the times until absorption in two continuous-time Markov chains and follow Phase-type distributions with which the queueing time distributions and moments are obtained. Then, we demonstrate how the Mn/Mn/c/K+Mn queue can be employed to approximately yet accurately estimate the performance measures of the Mn/GI/c/K+GI type call center.
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    PublicationOpen Access
    Inventory policies for two products under Poisson demand: interaction between demand substitution, limited storage capacity and replenishment time uncertainty
    (Wiley, 2018) Burnetas, Apostolos; Department of Industrial Engineering; Kanavetas, Odysseas; Faculty Member; Department of Industrial Engineering; College of Engineering
    We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed or exponentially distributed. For both cases we develop a Continuous Time Markov Chain model for the inventory levels and derive expressions for the expected profit per unit time. We establish analytic expressions for the profit function and show that it satisfies decreasing differences properties in the order quantities, which allows for a more efficient algorithm to determine the optimal ordering policy. Using computational experiments, we assess the effect of substitution and replenishment time uncertainty on the order quantities and the profit as a function of the storage capacity.