Analysis of Two-Level Support Systems with Time-Dependent Overflow - A Banking Application

Wolfgang Barth, Michael Manitz, Raik Stolletz

    Research output: Contribution to journalJournal articleResearchpeer-review


    In this paper, we analyze the performance of call centers of financial service providers with two levels of support and a time-dependent overflow mechanism. Waiting calls from the front-office queue flow over to the back office if a waiting-time limit is reached and at least one back-office agent is available. The analysis of such a system with time-dependent overflow is reduced to the analysis of a continuous-time Markov chain with state-dependent overflow probabilities. To approximate the system with time-dependent overflow, some waiting-based performance measures are modified. Numerical results demonstrate the reliability of this Markovian performance approximation for different parameter settings. A sensitivity analysis shows the impact of the waiting-time limit and the dependence of the performance measures on the arrival rate.
    Original languageEnglish
    JournalProduction and Operations Management
    Issue number6
    Pages (from-to)757-768
    Publication statusPublished - 2010


    • queueing models of call centers
    • financial service operations
    • time-dependent overflow
    • performance evaluation

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