An algorithmic analysis of multi-server vacation model with service interruptions

  • Authors:

  • Jau-Chuan Ke;Chuen-Horng Lin;Hsin-I Huang;Zhe George Zhang

  • Affiliations:

  • Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan;Department of Information Management, National Taichung Institute of Technology, Taichung 404, Taiwan;Department of Computer Science and Information Engineering, National Taichung Institute of Technology, Taichung 404, Taiwan;Department of Decision Science, Western Washington University, Bellingham, WA 98225-9077, USA and Faculty of Business Administration, Simon Fraser University, Burnaby, BC V5A 1S6, Canada

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2011

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Abstract

Motivated by the trade-off between reliability and utilization level of a stochastic service system, we considers a Markovian multi-server vacation queueing system with c unreliable servers. In such a system, some servers may not be available due to either planned stoppage (vacations) or unplanned service interruptions (server failures). The vacations are controlled by a threshold policy. With this policy, at a service completion instant, if d (=