IJPAM: Volume 106, No. 5 (2016)

CLOSEDOWN TIME WITH CONTROLLABLE ARRIVALS
DURING MULTIPLE ADAPTIVE VACATIONS



Government Arts College
Coimbatore, INDIA

C.M.S. College of Science and Commerce
Coimbatore, INDIA
Abstract. In this paper a
queueing system with multiple adaptive vacation, closedown times with controllable arriving customers is considered. The server provides service to all customers with service time follows general distribution. On completion of a service, if the queue
is less than 'a' then the server performs a closedown work. Following closedown the server leaves for M number of multiple adaptive vacations of random length, irrespective of queue length. After a vacation or some vacation, if the queue length is still empty, the server avails another M number of adaptive vacation otherwise, if the server finds atleast 'a' customer waiting for service say
, then the server serves a batch of size min
customers, where
. During, multiple adaptive vacations if the customers of size min (a,b) entering with probability then the server completes the current vacation and enter the system for giving the service. Using the supplementary variable techniques, various characteristics of the queueing systems are obtained.
Received: January 23, 2016
AMS Subject Classification: 60A10
Key Words and Phrases: bulk arrival, general bulk service, controllable arriving customers, dormant period, Closedown time, Multiple vacations
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DOI: 10.12732/ijpam.v106i5.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 5
Pages: 79 -
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