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 194
- Downloads 0
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...
SENSITIVITY PATTERNS OF SOME FLOWERING PLANTS AGAINST SALMONELLA TYPHI AND PSEUDOMONAS AERUGINOSA
The medicinal plants have been collected form wild resources and only some species used in larger quantities are cultivated systematically. Many medicinal plants, which were ignored in the past years, but the number of p...
Initial exploration of Hydrocarbon resources by Gravity Data: A Case Study in the South of Qom Province, Iran
Geophysical methods widely used in oil and gas exploration. Modeling of gravity data is used extensively to illustrate the geometry and interface between the sediments and bedrock. Which can help the salt dome, anticli...
QUALITATIVE & QUANTITATIVE PHYTOCHEMICAL SCREENING AND PROXIMATE COMPOSITION OF BOMBAX BUONOPOZENSE (RED SILK COTTON TREE) STEM-BACK
Qualitative & quantitative phytochemical screening and proximate composition of Bombax buonopozense stem was investigated. Nine phytochemicals viz: - alkaloid, carbohydrate, phenols, flavonoids, saponins, tannins, pr...
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...