BUSY TIME FOR GROUP ARRIVAL AND GROUP SERVICE MODELS

BUSY TIME FOR GROUP ARRIVAL AND GROUP SERVICE MODELS

Registration ID: IJNRD_300360

Published ID: IJNRD2409152

DOI: Click Here to Get

Nigama Prasan Sahoo , Dr. Dilip Das , Dr. Subhashish Biswas

Brownian Reflection; imbedded Markov chain technique; Laplace transform; probability distribution; homogenous Poisson process; dual bulk queue; exponential service time

The motive of this paper is to investigate and analysis of the distributions of the number of customers waiting in line using Erlangian techniques,the generating functions and the Integral transforms. Here the arrivals of unit sizes occur in groups according to a homogeneous Poisson process. The service time of customers is a random variable and is independent of the number of customers in the batch.

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"BUSY TIME FOR GROUP ARRIVAL AND GROUP SERVICE MODELS", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.9, Issue 9, page no.b441-b445, September-2024, Available :https://ijnrd.org/papers/IJNRD2409152.pdf

Volume 9 Issue 9, September-2024

Pages : b441-b445

Paper Reg. ID: IJNRD_300360

Published Paper Id: IJNRD2409152

Downloads: 000121120

Research Area: Mathematics All

Country: Durg, Chhattisgarh, India

Published Paper PDF: https://ijnrd.org/papers/IJNRD2409152.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2409152

Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)

ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016

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