A newfangled isolated entropic measure in probability spaces and its applications to queueing theory

Vikramjeet Singh; Sunil Kumar Sharma; Om Parkash; Retneer Sharma; Shivam Bhardwaj; Vikramjeet Singh; Sunil Kumar Sharma; Om Parkash; Retneer Sharma; Shivam Bhardwaj

doi:10.3934/math.20241326

AIMS Mathematics

2024, Volume 9, Issue 10: 27293-27307. doi: 10.3934/math.20241326

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Research article

A newfangled isolated entropic measure in probability spaces and its applications to queueing theory

1.
Department of Mathematics, I. K. Gujral Punjab Technical University, Amritsar Campus, Punjab, India
2.
Department of Information Systems, College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia
3.
Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India
4.
Research Scholar, I.K. Gujral Punjab Technical University, Jalandhar, India
5.
Master of Science in IT & Management, Mccombs School of Business, University of Texas at Austin, USA

Received: 10 April 2024 Revised: 02 August 2024 Accepted: 20 August 2024 Published: 20 September 2024
MSC : 94A

It is well established that a diverse range of entropic measures, while remarkably adaptable, must inevitably be complemented by innovative approaches to enhance their effectiveness across various domains. These measures play a crucial role in fields like communication and coding theory, driving researchers to develop numerous new information measures that can be applied in a wide array of disciplines. This paper introduces a pioneering isolated entropic measure and its solicitations to queueing theory the study of dissimilarities of uncertainty. By creating the newly developed discrete entropy, we have articulated an optimization principle where the space capacity is predetermined and solitary evidence accessible is around the mean size. Additionally, we have conveyed the solicitations of "maximum entropy principle" to maximize the entropy probability distributions.
- probability dissemination,
- queueing theory,
- entropic measure,
- continuity property,
- expansibility,
- concavity property,
- traffic intensity
Citation: Vikramjeet Singh, Sunil Kumar Sharma, Om Parkash, Retneer Sharma, Shivam Bhardwaj. A newfangled isolated entropic measure in probability spaces and its applications to queueing theory[J]. AIMS Mathematics, 2024, 9(10): 27293-27307. doi: 10.3934/math.20241326

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Abstract

It is well established that a diverse range of entropic measures, while remarkably adaptable, must inevitably be complemented by innovative approaches to enhance their effectiveness across various domains. These measures play a crucial role in fields like communication and coding theory, driving researchers to develop numerous new information measures that can be applied in a wide array of disciplines. This paper introduces a pioneering isolated entropic measure and its solicitations to queueing theory the study of dissimilarities of uncertainty. By creating the newly developed discrete entropy, we have articulated an optimization principle where the space capacity is predetermined and solitary evidence accessible is around the mean size. Additionally, we have conveyed the solicitations of "maximum entropy principle" to maximize the entropy probability distributions.

References

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