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<item>
  <id>06049696</id>
  <dt>j</dt>
  <an>06049696</an>
  <augroup>
    <au>Phung-Duc, Tuan</au>
    <au>Kawanishi, Ken'ichi</au>
  </augroup>
  <ti>Multiserver retrial queues with after-call work.</ti>
  <so>Numer. Algebra Control Optim. 1, No. 4, 639-656 (2011).</so>
  <py>2011</py>
  <pu>American Institute of Mathematical Sciences (AIMS), Springfield, MO</pu>
  <lagroup>
    <la>EN</la>
  </lagroup>
  <ccgroup>
  </ccgroup>
  <utgroup>
    <ut>multiserver retrial queue</ut>
    <ut>after-call work</ut>
    <ut>call center</ut>
    <ut>level-dependent QBD process</ut>
    <ut>truncation method</ut>
    <ut>stability conditions</ut>
    <ut>stationary distribution</ut>
  </utgroup>
  <cigroup>
  </cigroup>
  <ligroup>
    <li>doi:10.3934/naco.2011.1.639</li>
  </ligroup>
  <abgroup>
    <ab>The authors study a c-server retrial system with finite capacity $K$. A blocked customers joins an infinite virtual capacity orbit and then retries to occupy server again. Unlike classical retrial queues, an extra after-call work is done by server after a customer leaves the system. The case $K<c$ is also discussed. A quasi-birth-death Markov process is constructed to obtain a stability condition of the system. Unfortunately, the authors do not mention that it is a very particular case of the well-known stability result for general multiserver retrial system. A truncation by means of a finite capacity system (with a limited orbit) is used to derive an approximation of stationary distribution. Some numerical results are also given.</ab>
    <rv>Evsei Morozov (Petrozavodsk)</rv>
  </abgroup>
</item>