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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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| Paper Title: | serial queues connected to non-serial channels with feedback in serial channels and reneging and balking in both types of channels for finite waiting space |
| Authors Name: | Satyabir Singh |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_200087
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| Published Paper Id: | IJRTI2202019 |
| Published In: | Volume 7 Issue 2, February-2022 |
| DOI: | http://doi.one/10.1729/Journal.42890 |
| Abstract: | Steady state solution of general queuing model having feedback, balking and reneging in serial queuing processes connected with non-serial queuing channels with reneging and balking with finite waiting space in random order selection for service has been studied in the present paper. 1. Introduction Various researchers including O’Brien (1954), Barrer (1955) and Finch (1959) studied the problems of serial queues in steady-state with Poisson assumption. Singh (1984) studied the problem of serial queues introducing the concept of reneging. Singh and Singh (1994) worked on the network of queuing processes with impatient customers. Punam, et.al (2011) found the steady-state solution of serial queuing processes where feedback is not permitted. Satyabir, et.al (2014) obtained steady-state solution of serial queues with feedback, balking and reneging. However there may be situations where the serial queuing processes may be connected with non-serial queuing channels keeping the above observations in view, we in the present paper obtained the steady-state solutions for serial queuing processes with feedback, balking and reneging connected with non-serial queuing channels with reneging and balking in which (i) M-serial queuing processes with feedback, balking and reneging connected with N-non-serial queuing channels with reneging and balking. (ii) A customer may join any channel from outside and leave the system at any stage after getting service. (iii) Feedback is permitted from each channel to its previous channel in serial channels. (iv) The customer may balk due to long queue at each serial and non-serial service channel. (v) The impatient customer leaves both serial and non serial service channels after wait of certain time. (vi) The input process in serial and non-serial channels depends upon queue size and Poisson arrivals are followed. Exponential service times are followed. (vii) The queue discipline is random selection for service. Waiting space is finite. |
| Keywords: | Steady-State, difference-differential, waiting space, random selection, Poisson arrivals, exponential service, feedback, balking and reneging. |
| Cite Article: | " serial queues connected to non-serial channels with feedback in serial channels and reneging and balking in both types of channels for finite waiting space", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.7, Issue 2, page no.123-129, February-2022, Available :http://www.ijrti.org/papers/IJRTI2202019.pdf |
| Downloads: | 000276 |
| 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: IJRTI2202019
Registration ID:200087
Published In: Volume 7 Issue 2, February-2022
DOI (Digital Object Identifier): http://doi.one/10.1729/Journal.42890
Page No: 123-129 Country: -, -, India Research Area: Engineering Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2202019 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2202019 |
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ISSN: 2456-3315
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