The priority of inbound calls over outbound calls modeled as a discrete-time retrial/delay system

Rein Nobel*, Maik Dekker

*Corresponding author for this work

    Research output: Chapter in Book / Report / Conference proceedingConference contributionAcademicpeer-review

    Abstract

    A one-server discrete-time queueing model is studied with two arrival streams. Both arrival streams are in batches and we distinguish between a stream of low-priority customers, who are put in a queue which is served on a first-come-first-served basis, and a stream of (primary) high-priority customers, who are served uninterruptedly when the batch of high-priority customers finds the server idle upon arrival. High-priority customers are treated as retrial customers, but once in the orbit they lose their high-priority status. The Late Arrival Setup is chosen with Delayed Access. The high-priority retrial customers can be interpreted as inbound calls, and the low-priority customers as outbound calls in a call-center. The joint steady-state distribution of the queue length of the low-priority customers and the orbit size of secondary retrial customers is studied using probability generating functions. Several performance measures will be calculated, such as the mean queue length of the low-priority customers and the orbit size of the secondary retrial customers.

    Original languageEnglish
    Title of host publicationQueueing Theory and Network Applications - 12th International Conference, QTNA 2017, Proceedings
    EditorsWuyi Yue, Quan-Lin Li, Shunfu Jin, Zhanyou Ma
    PublisherSpringer Verlag
    Pages199-216
    Number of pages18
    ISBN (Print)9783319685199
    DOIs
    Publication statusPublished - 1 Jan 2017
    Event12th International Conference on Queueing Theory and Network Applications, QTNA 2017 - Qinhuangdao, China
    Duration: 21 Aug 201723 Aug 2017

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume10591 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference12th International Conference on Queueing Theory and Network Applications, QTNA 2017
    CountryChina
    CityQinhuangdao
    Period21/08/1723/08/17

    Keywords

    • Discrete-time retrial queue
    • Generating functions
    • Inbound and outbound calls
    • Priority customers

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