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A STUDY ON QUEUING ISSUE IN TACTICALL

ENVIRONMENT

S. Radha

Research Scholar, Department of Mathematics, Kalasalingam Academy of Research and

Education, Krishnankovil, (India).

E-mail: kradhai87@gmail.com

ORCID: https://orcid.org/0000-0003-0507-2794

S. Maragathasundari

Associate Professor, Department of Mathematics, Kalasalingam Academy of Research and

Education, Krishnankovil, (India).

E-mail: maragatham01@gmail.com

ORCID: https://orcid.org/0000-0003-1210-6411

P. Manikandan

Assistant Professor, Department of Electronics and Communication Engineering,

Kalasalingam Academy of Research and Education, Krishnankovil, (India).

E-mail: maanip85@gmail.com.

ORCID: https://orcid.org/0000-0002-5737-0235

Recepción:

25/10/2019

Aceptación:

29/09/2020

Publicación:

30/11/2021

Citación sugerida:

Radha, S., Maragathasundari, S., y Manikandan, P. (2021). A study on queuing issue in tacticall

environment. 3C Tecnología. Glosas de innovación aplicadas a la pyme, Edición Especial, (noviembre, 2021),

155-177. https://doi.org/10.17993/3ctecno.2021.specialissue8.155-177

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ABSTRACT

TactiCall MCI empowers direct correspondence from the individual mariner to central

command. It encourages the procient and quick trade of information and voice all

through the whole system, using the best accessible data transmission paying little respect

to the strategic condition. TactiCall MCI’s stage independency will enable you to keep up

your inheritance hardware while streamlining your operational eectiveness through, for

example, specially appointed directing. TactiCall MCI will keep you associated with your

very own powers, joint powers and partners while ideally abusing the accessible limit and

improving your situational mindfulness and operational prociency. This study represents

the fact of Queuing issue consisting of dierent aspects like stages of service, service

interruption , maintenance work and revamp process in TACTI CALL environment.

This problem is well analyzed by means of supplementary variable method of Queuing

approach. As a result we derive all the Queue performance measures of the above queuing

issue. Numerical illustration and the graphical representation elaborate the explanation of

the result at the end for the TactiCall environment queuing issue.

KEYWORDS

Service, Long vacation, Reneging, Short vacation, Service interruption, Repair, Delay.

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1. INTRODUCTION

TactiCall MCI the executives interface utilizes a customer/server based HMI that is gotten

to by veried T-MCI administrators utilizing standard HTTPS. T-MCI the executives

administrators utilize this interface to control the switch and transmission frameworks. The

administration HMI is actualized as a major aspect of the item and consequently requires no

incorporation exertion. T-MCI likewise gives an immediate checking and control interface

to applications (machine-to-machine). One of the essential employments of this interface is

for T-MCI to give correspondence framework status data to applications on a sub-second

reason for stream control purposes. This recreates the customary communication where an

application is associated straightforwardly to the radio however without the burdens related

with such stove channeling. T-MCI gives broad system checking data abilities by means of

both the administration and application interfaces.

Artino, Folga, and Swan (2006) depicted another hypoxia worldview that consolidated

the ROBD with strategic ight triggers. Majumdar (2005) gave the measurable estimation

and calculation of correspondence parameters utilized in planning and advancing laser

correspondence frameworks that were dependable under every single climate condition.

Echols (2004) created specialized gauges that would take into account accomplishments of

interoperability between worldwide strategic correspondence systems.

Chatterjee and Pal (1993) gave a diagram of the exceptional highlights and future patterns

in satellite correspondence. Misra, Misra, and Tripathi (2013) talked about the progression

of various applications viewpoint present and future in satellite correspondence. Erkan

and Uzun (2004) depicted the essential highlights and client administrations of TASMUS

and with the help of concurrent voice and information capacities, TASMUS intended to

shape versatile, survivable, adaptable and secure system to help all the present and future

correspondence prerequisites of the strategic leaders. Holmström, Rajamäki, and Hult

(2011) accomplished the part hazards among administrators and correspondence channels;

better directing and need capacities; considering security and interruption chances and

including particularity.

Burkholder-Allen et al. (2009) displayed the Boutulism Questionnaire, which would help

with the screening of setbacks, gave instructive and indicative signs to clinician and the

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lay open, and made a layer of insurance for the social insurance framework. Suri et al.

(2009) saw from a few strategic systems administration tests and shows the exercises gained

from organization of the Mockets middleware to help strategic correspondences. Crainic

(1988) surveys the fundamental issues with respect to the strategic arranging of cargo

rail transportation and the important models tending to these issues. Maragathasundari

and Sowmiyah (2015) made an investigation M/G/1 Queuing System with expanded

excursion, administration interference; defer time and stages in x. Strategic arranging

models for inventory network the board analyzed by Swaminathan and Tayur (2003).

Maragathasundari, Srinivasan, and Ranjitham (2014) researched clump landing queuing

framework with two phases of administration.

1.1. TACTICALL MCI

Graphic 1. Tactical Mobile Communication Infrastructure.

Source: own elaboration.

TactiCall MCI is worked to help your operational necessities, keeping you associated with

your system by conveying a hearty and secure voice and information correspondence

arrangement. TactiCall MCI is a QoS - and asset mindful strategic switch that oversees

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access to correspondence administrations (for example given by radios) for mixed media

applications and arranged gadgets. TactiCall MCI’s measured and versatile plan underpins

inheritance joining in light of future development.

Utilize accessible heritage hardware, coordinate with IP systems administration and

downplay relocation cost. Well-ordered delicate and equipment redesigns dependent

on operational needs. Future-verication through simple well-ordered updates and

extra usefulness Job based login. Evacuating stovepipes by presenting use of shared

correspondence assets dependent on strategic conditions and current transmission

prerequisites. Limit accumulation through organized data transfer capacity determination.

Remote and adaptable administration of whole system through IP technology. Enhanced

heartiness utilizing dynamic directing. Consistent incorporation of heterogeneous systems.

From the next section onwards various factors like service rendered in the tacticall, dierent

types of maintenance works, kinds of interruptions, delay in getting into the repair process

and how the repair is carried out are explained in detail.

1.2. AD-HOC ROUTING

TactiCall MCI automatically chooses the highest possible bandwidth at all times –

guaranteeing the best communication path available.

1) Operational Ad-Hoc routing.

2) Maximizing network performance.

3) Automatically optimizing bandwidth selection.

4)Enablingseamlessdatatrac.

TactiCall MCI can be given as a virtual machine and facilitated on existing guring

equipment – implying that no new equipment is required. TactiCall MCI will guarantee

stepwise incorporation and updates as per operational and mechanical prerequisites.

TactiCall MCI programming coordinated into eectively existing equipment guarantees

a cost productive and future-conrmation arrangement that consolidates existing in-

administration gear.

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Graphic 2. Tactical MCI software integrate.

Source: own elaboration.

1.3. SHORT VACATION (MINIMAL MAINTENANCE WORK)

Proactive MCI maintenance on the other hand, focuses on identifying and solving problems

before they materialize.

During Short Vacation Types:

1) Proactive Maintenance by the Engineer.

2) Cleaning Process.

3) First Line Service.

One kind of protection upkeep is ordinarily performed by the designer who has been sent to

a server in light of issue. While the designer is at the tacticall server, the person in question

will complete deterrent upkeep trying to avert future issues. Architects for the most part

will check the best 10 realized deciency conditions .Fault testing can be a to a great extent

manual procedure requiring a decent arrangement of time, anyway it’s positively superior

to no deterrent support by any means. Another way to deal with proactive support may

be increasingly appealing to associations that desire to improve prociency while bringing

down operational expenses.

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1.4. DURING LONG VACATION (MAXIMAL MAINTENANCE WORK)

1) Second line Maintenance / Hardware testing.

2) Software testing.

SECONDARY MAINTENANCE

This alludes to work which just tacticall MCI seller’s support faculty can do, for example,

taking care of hardware breakdowns, parts trades, gear upkeep, and so forth. Experts

adopt a proactive strategy to second Line Hardware Maintenance which incorporates

the diagnosing of issues and the substitution of breaking down outer parts. By playing

out various preventive support visits every year, they discover potential issues before the

segment disappointment. Specialists supplant consumable parts, clean, grease up, adjust,

and test the majority of the segments to guarantee appropriate usefulness. Experts are

prepared to chip away at brands.

SOFTWARE TESTING

Designer needs to execute the accompanying Test Cases for maritime correspondence

server created by the product engineer. And still, after all that it gathers more opportunity

for correspondence server the mariners will become irritated and look for some other close-

by exchange server. Consequently reneging happens.

1.5. SERVER BREAKDOWN

Normally, when we state a server is down, what we mean is that the program that is intended

to react to demands from the system isn’t doing as such. That is our Tacticall can’t most

likely react for the mariners in the proper time. There are various reasons that could occur,

and every one of them requires an alternate arrangement. Here are a few models:

The ability to the MCI framework it keeps running on was cut. There are numerous

reasons this could occur, including however not constrained to individuals pulling the

wrong attachment while doing support, cleaning, and so forth. All things considered, you

need to reestablish control.

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The system association quit working. This could be a direct result of a physical link that got

unplugged, or in light of the fact that some bit of system hardware zzled. System gear can

overheat. In some cases there are unobtrusive bugs in the product it runs that lone appear

from time to time, and the system gear should be restarted. Now and again, some absolutely

random framework utilizing a similar system can go haywire and ood the system with a lot

of trac, which could back o everything else and some of the time considerably trigger

issues in the product or setup that aren’t generally taken note.

The PC is associated with power and the system, however for reasons unknown it isn’t quite.

Perhaps the power was cut before, and the PC isn’t designed to walk out on when the power

is reestablished.

The PC is on; however the working framework isn’t running. Generally this implies the

working framework slammed, in which case the main thing you can do is more often than

not to restart the machine, or that the working framework never stacked when the machine

fueled up, which likely methods there is some kind of problem with the plate it is put away

on.

1.6. REPAIR STAGE 1

1)The simplest solution is often the best

For instance, does the MCI server have control, or did somebody accidentally unplug

the power rope? In the event that the machine clearly has control, however there doesn’t

appear to be any system availability, verify whether the Ethernet or ber link has been

unintentionally unplugged.

a) If basic troubleshooting doesn’t work:

Since we’ve checked the majority of our links and other fringe gadgets, endeavor to ping

the gadget from inside the LANLuckily, the ping order is general, so this ought to be clear

paying little respect to the stage being used. In the event that the mariner can ping the server

from inside the LAN, take a stab at pinging the server from outside of the LAN. Doing this

will go far in deciding whether the issue is at the steering and exchanging level, as opposed

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to at the server level. Additionally, if our Web server is virtualized, take a stab at pinging the

IP address of the physical machine itself. This will assist us with furthering segregate the

issue. In the event that we can’t ping the server by any stretch of the imagination, and we’ve

certainly checked the system association, it’s an ideal opportunity to go further.

b) Delay: Nope, the Web server is still down:

We’ve checked the peripheral cables. The sailors’ve attempted to ping the box, and still

don’t have network access to the server. Fortunately you have basically disengaged the issue

to either the physical machine or the working framework. Presently we understood that

the whole programming arrangement .After nishing the real x work, the server will go

for the optional phase of x that is to refreshing the working framework. That being said it

accumulates more opportunity for correspondence server the mariners will become upset

and scan for some other close-by substitute server. Consequently reneging happens.

1.7. STAGE 2

Updates for working frameworks are discharging every now and again. Remaining over

these updates can be motivating. This is the reason we use modernized x the executives

instruments and have checking set up to alarm us when a framework is obsolete. In the

event that we are refreshing our server physically (or not under any condition), we may

miss signicant security refreshes. Programmers regularly lter for defenselessly frameworks

inside hours of an issue being uncovered. So quick reaction is vital. After this whole

programming upgrade, the mariner can use the tacticall MCI uninterruptedly.

2. METHODOLOGY OF SOLVING THE ABOVE TACTI CALL

ENVIRONEMTAL QUEUING ISSUE

The above characterized Queuing issue is disentangled by using the supplementary variable

technique. For every one of the organization time, remain by server escape time and x

time valuable variables are used. Unwavering state line gauge dispersal and the dierent

execution measure are settled. Numeral outline legitimizes the model and the graphical

depiction gives a sensible picture about the decisions to be taken before the startup of

the organization. To deteriorate the issue of clog in the TACTI CALL make benets, an

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obvious endorsement is rendered toward the end, by strategies for looking at the numerical

results and graphical examination of the model.

2.1. STEPS INVOLVED IN THE USAGE OF SUPPLEMENTARY VARIABLE

METHOD

First we frame the governing equations for the queuing problem involved in tacticall

environment in section by using the parameters like service rendered, short vacation, long

vacation, system break down, delay in getting into repair process and stages of repair

process.

As a second step, we process out the initial boundary conditions of the problem dened.

Next by the usage of various supplementary variables, we derive the probability generating

function of the queue size of the tacticall queuing problem. In continuation, length of the

queue, number of customers (works to be carried out) in the system, waiting time of the

customers in the queue as well as in the system are derived.

All those derivations are justied by means of numerical illustration and graphical portrayal.

Based on that, investigation have been made in the numerical study and the analysis is

carried out in the analysis report. Having a deep study on the analysis, one can get the idea

of minimizing the service interruption in the tacticall environment or to avoid in getting

into break down of the system. Moreover system maintenance work is required whether for

shorter duration or longer duration could be predicted. This study helps to carry out the

various factors in tacticall issue in an accurate manner. This leads to the length of the queue

to be minimal in the system. Utilization factor would be made to a maximal. Tacticall

system works to a maximal level.

2.2. GOVERNING EQUATIONS OF THE MODEL

By means of birth and death process of Queuing study, we rst frame the governing

equations of the tacticall issue:

(1)

(2)

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(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

2.3. BOUNDARY CONDITIONS

The following boundary conditions are used to solve the above equations:

(14)

(15)

(16)

(17)

(18)

(19)

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2.4. DISTRIBUTION OF THE LINE LENGTH

Solving of equations from (1) - (12), multiply (1) by z

and sum over n from 1 to ∞ and add

it to (2) resulting the following equation:

(20)

Similarly,

(21)

(22)

(23)

(24)

(25)

Applying the same for boundary conditions: Solving of equations from (1) - (12), multiply

(1) by z

and sum over n from 1 to ∞ and add it to (2) resulting the following equation:

Applying the same for boundary conditions:

(26)

(27)

(28)

(29)

(30)

(31)

Now Integrating (20) from 0 to, it gives

(32)

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Integrating the above by parts, we get

(33)

Where

is the Laplace Stieltje’s transform of the service

time. Again multiplying (32) by μ(x) and integrating, we get

(34)

Similarly

(35)

(36)

(37)

(38)

(39)

(40)

(41)

(42)

(43)

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(44)

Substituting (34), (36), (38), (44) in (26), we get:

(45)

Using the above (33), (35), (37), (39) (41) and (43) becomes,

(46)

(47)

(48)

(49)

(50)

(51)

3. RESULTS

3.1. PROBABILITY GENERATING FUNCTION OF THE QUEUE SIZE

To nd the probability making limit of the line gauge paying little mind to the state of the

structure. Let W

(z) be the probability generating function of the queue length no matter

what the state of the system is

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Then adding:

(46) – (51), we get:

(52)

The idle time Q is determined by using the normalization condition:

(1)+Q =1

Using L’Hopital’s rule, we get:

Also

From Q, the utilization factor ρ can be determined.

3.2. SYSTEM QUEUE EXECUTION PROCEDURES

Let L

a chance to demonstrate the reliable state typical number of customers in the line.

By then:

Where N (z) and D (z) are the numerator and denominator of (52).

Since W

(z)=

=1 , we utilize two-fold separation and get:

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(53)

Where primes mean subordinates with respect to z and after a course of action

of logarithmic enhancement, we get length of the queue L

closed frame.

(54)

(55)

(56)

(57)

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Substituting for N’ (1), N’’ (1), D’ (1), D’’ (1) from (54) – (57) in (53), we obtain L

in closed

form.

Further the mean waiting time of a customer in the queue as well as in the system and the

number of customers waiting in the system can be found using Little’s formula:

3.3. NUMERICAL JUSTIFICATION OF THE MODEL

Assume that service time follows exponential distribution in particular and based on

this condition, the numerical justication is elaborated below. The values are collected

accordingly:

Table 1. Effect Of Change In ξ : ξ=1,1.2,1.4,1.6,1.8.

Lq W

L W

0.4354 0.5646 3.5076 1.1692 4.0722 1.3574

0.5516 0.4484 1.5393 0.5131 1.9877 0.6626

0.6296 0.3704 0.9113 0.3038 1.2817 0.4272

0.6856 0.3144 0.6175 0.2058 0.9319 0.3106

0.7277 0.2723 0.4534 0.1511 0.7257 0.2419

Source: own elaboration.

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Graphic 3. Effect of change in ξ.

Source: own elaboration.

Table 2. Effect Of Change In a : a=0.5,0.6,0.7,0.8,0.9.

Lq W

L W

0.4582 0.5418 3.0381 1.0127 3.5799 1.1933

0.4600 0.5400 2.8510 0.9503 3.3910 1.1303

0.4615 0.5385 2.6931 0.8971 3.2298 1.0766

0.4629 0.5371 2.5532 0.8511 3.0903 1.0301

0.4641 0.5359 2.4327 0.8109 2.9686 0.9895

Source: own elaboration.

Graphic 4. Effect of change in a.

Source: own elaboration.

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4. DISCUSSIONS

All the values in the table are as expected. In Table 1, probability of considering the concept

of reneging takes place. Due to impatience, customers leave the system after joining the

queue. This concept is dened as reneging as explained earlier. Hence in this tacticall issue

increase in reneging makes the work lessen to be carried out in tacticall problem. Therefore

length of the queue gets diminished. Number of customers in the system gets lessen too.

This leads to the waiting time of the customers in the queue as well as in the system to get

reduced. All these measures are gotten only due to the increase in the reneging concept.

This has to be avoided by the way of reducing the time factor of delay process. Hence

whenever service interruption occurs, the system has to be introduced into the reneging

process immediately. Hence the server can render its service without any delay and it leads

to keeps away from Reneging.

Table 2 indicates the concept of increase in getting the probability of long vacation.

So maximal maintenance work can be carried out in the system. Hence the increase in

probability of long vacation, (the process of maintenance work time) makes the system to

run faster than the earlier and hence the performance measures of the system get reduced.

Maintenance work is the unavoidable feature in the concept of Queuing problem.

5. CONCLUSIONS

In nature of TACTI CALL, Queuing issue comprising of administration, short get-away,

long excursion, administration interference, x process, phases of x process happen. Here

we had an itemized examination on various kinds of excursions and administration break in

the framework. What’s more, in this lining framework, framework doesn’t get onto x process

right away. It concedes a deferral between the administration separate and the procedure of

x. Additionally, here x process is completed in two phases. Get-away procedure assumes

a signicant job in this Queuing procedure of correspondence study. The issue is very

much explained by advantageous variable strategy and the essential execution measures are

determined. Numerical investigation of the application delineates the Queuing approach

towards the issue by and large. This introduction acknowledges noticeable work in social

occasion units, correspondence structure, and development crossing centers, framework

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planning, etc. Benets of this queuing procedure is reducing the time for work delay. It

helps to give the service to customers at right time.

5. ACKNOWLEDGEMENT

We would like to thank our institution Kalasalingam Academy of Research and Education

for support.

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