Title: Analysis of a batch arrival general bulk service queueing system with variant threshold policy for secondary jobs

Authors: M. Haridass, R. Arumuganathan

Addresses: Department of Mathematics and Computer Applications, PSG College of Technology, Coimbatore 641 004, Tamil Nadu, India. ' Department of Mathematics and Computer Applications, PSG College of Technology, Coimbatore 641 004, Tamil Nadu, India

Abstract: In this paper, a bulk service queueing system with variant threshold policy for secondary jobs is considered. On completion of service, if the queue length is less than |a|, the server performs a secondary job of type one, repeatedly, until the queue length reaches |a|. On returning from a secondary job of type one, if the queue length is at least |a|, the server performs another secondary job of type two, repeatedly, until the queue length reaches the threshold value |N| (N ≥ b > a), then the server serves a batch of |b| customers. Various performance measures and a cost model are presented.

Keywords: bulk arrival; single server; vacations; N policy; bulk service queueing; variant threshold policy; secondary jobs; performance measures; cost modelling.

DOI: 10.1504/IJMOR.2011.037313

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.1, pp.56 - 77

Available online: 03 Dec 2010 *

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