Transient solution of /G/1 with Second Optional Service Subject to Reneging during Vacation and Breakdown time
Journal Title: JOURNAL OF ADVANCES IN NATURAL SCIENCES - Year 2015, Vol 3, Issue 1
Abstract
In this paper, we present a batch arrival non- Markovian queuing model with second optional service. Batches arrive in Poisson stream with mean arrival rate ?, such that all customers demand the first essential service, whereas only some of them demand the second "optional" service. We consider reneging to occur when the server is unavailable during the system breakdown or vacations periods. The time-dependent probability generating functions have been obtained in terms of their Laplace transforms and the corresponding steady state results have been derived explicitly. Also the mean queue length and the mean waiting time have been found explicitly.
Authors and Affiliations
suganya s vijay
Keywords
Related Articles
- EP ID EP654915
- DOI 10.24297/jns.v3i1.1312
- Views 187
- Downloads 0
Scientific Rationale for The Use of Low-Intensity Sprinkling Systems in Mountain Irrigated Agriculture in Azerbaijan
The results of the study revealed that the mismatch intensity rain rate of water absorption into the soil formation of a surface relief and soil erosion, uneven and shallow soaking imperfection open irrigation system at...
Transient solution of /G/1 with Second Optional Service Subject to Reneging during Vacation and Breakdown time
In this paper, we present a batch arrival non- Markovian queuing model with second optional service. Batches arrive in Poisson stream with mean arrival rate ?, such that all customers demand the first essential service,...
Did a bi-polar multi-level oceanic oscillation cause the Little Ice Age and other high latitude climate extremes?
Variations of ice-rafted sand and sediment from deep-sea cores beneath the North Atlantic Drift imply 1500yr cycles of the Drift flow and its associated climate warmth in northern North Atlantic regions. The Drift cycle...
THEORETICAL MECHANICS OF 6-DIMENSIONAL (6D) CENTRAL-FORCE MOTION WITH TANGENTIAL OSCILLATIONS.
The relevance of the Central - force motion in the macroscopic and microscopic frames warrants a detailed study of the theoretical mechanics associated with it. So far, researchers have only considered central - force mo...
IMPACT OF MINERALFORMATION ON RESTORATION OF THE SOIL STRUCTURE IN NAKHCHIVAN AR AND GEOGRAPHICAL SPREADING LEGITIMACY.
The silt fractions have a great impact in soil structural formation. If the soil forming rocks don't disturb, crush and weather, the soil forming processes on them occur weakly, the organic substances cause formation of...