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Paper Title: "Analysis of Serial Channel with Feedback and Reneging Connected with Non-Serial Queuing Processes with Reneging and Balking in Finite Waiting Space"
Authors Name: SATYABIR SINGH
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IJRTI_200185
Published Paper Id: IJRTI1810040
Published In: Volume 3 Issue 10, October-2018
DOI: http://doi.one/10.1729/Journal.42888
Abstract: O’Brien [6], Jackson [3] and Hunt [4] studied the problems of serial queues in the steady state with Poisson assumptions. In these studies, it is assumed that the unit must go through each service channel without leaving the system. Barrer [1] obtained the steady-state solution of a single channel queuing model having Poisson input, exponential holding time, random selection introducing reneging. Finch [2] studied simple queues with customers at random for service at a number of service stations in series with feedback. Singh [8] studied the problem of serial queues introducing the concept of reneging. Punam, Singh and Ashok [7] found the steady-state solution of serial queuing processes where feedback is not permitted. In our present work, the steady-state solutions are obtained for serial queuing processes with feedback and reneging connected with non-serial queuing channels having reneging and balking in which (i) M serial queuing process with feedback and reneging are connected with N non-serial channel with reneging and balking. (ii) A customer may join any channel from outside and leave the system at any stage after getting service. Feedback is permitted from each channel to its previous channel in serial channels. (iii) The impatient customer may leave the service facility in serial and non-serial channel after a wait of certain time and balking has been incorporated in non-serial channels only. (iv) The Input process depend upon queue size in non-serial channels and Poisson arrivals and exponential service times are followed. (v) The queue discipline is random selection for service and Waiting space is finite
Keywords: Steady-State, waiting space, serial, non-serial, random selection, Poisson arrivals, exponential service, feedback, balking, reneging
Cite Article: ""Analysis of Serial Channel with Feedback and Reneging Connected with Non-Serial Queuing Processes with Reneging and Balking in Finite Waiting Space" ", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2455-2631, Vol.3, Issue 10, page no.234-239, October-2018, Available :http://www.ijrti.org/papers/IJRTI1810040.pdf
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ISSN: 2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Publication Details: Published Paper ID: IJRTI1810040
Registration ID:200185
Published In: Volume 3 Issue 10, October-2018
DOI (Digital Object Identifier): http://doi.one/10.1729/Journal.42888
Page No: 234-239
Country: kaithal, haryana, india
Research Area: Mathematics
Publisher : IJ Publication
Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI1810040
Published Paper PDF: https://www.ijrti.org/papers/IJRTI1810040
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED, Journal Starting Year (ESTD) : 2016

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