Queuing Theory And immigration process at Kempe Gowda international airport
 
Chita Agrawal1*, Savita Tiwari2
1,2 Department of Mathematics and Statistics, Madhyanchal Professonal University, Bhopal
1 Email: Chitraagrawalgawali@gmail.com
Abstract - This paper study the immigration process at Kempe Gowda international airport and how we can use queueing model to make immigration process more comfortable in less time consuming.
Keywords - Immigration, Queuing theory
INTRODUCTION
Population-Population, particularly Indian population has aroused growing interest across the globe in recent year. The world population has started increasing rapidly in the twentieth century. If we keep on eye about India. India is a one on the developing country. The population count for 1867-1871 was 203.4 million it increased 9.4 % in 1889-1891 and in 1910 5.7%. India`s population
History of Air transport - Aviation History of India – The Early Beginnings – The great business of air transport was born in India on the 18th of February 1911 and first mail flight took place. The Indian aviation market is on high growth path. As per IATA (International Air Transport Association) the number of global departures during calendar year 2018 is projected at around 4.3 billion. India among the top seven aviation market with 187 million passengers. India is as one of the fastest growing economies of the world and is likely to become the fifth largest in 2019.
The Growth Driver- India growing Aviation Market-According to the international air transport association (IATA). India is the fastest growing aviation market currently. Bangalore is the aviation manufacturing hub in India. Today global air lines consist of more than 2000 airlines. That are operating 23,000 aircraft.
Queuing theory-Queuing theory had its beginning in the research work of a Danish engineer named A. K. Erlang in 1909 Erlang experimented with fluctuating demand in telephone traffic. There are many solutions we have made like for traffic jam we have widen road. If there is runway for airport, we have more runways but still there is problem.
So, in queueing system we solve this problem mathematically so we make model. Before This we will know the generic term.
THE INPUT PROCESSES
Balking- A customer may decide to wait no matter how long the queue becomes. if a customer decides not to enter the queue because of its huge length. he is said to have balked
Reneging- A customer may enter the queue, but after some time loses patience and decide to leave. this is called reneging
Joking - In the case when there are two or more parallel queues, the customer may move from one queue to another for his personnel economic gain it’s called joking
The Queue Discipline
A rule according to which customers are selected for service when a queue formed. The most commonly used laws are
First Served Performance Measures of Queueing Systems To characterize a queueing system we have to identify the probabilistic properties of the incoming flow of requests, service times and service disciplines. The arrival process can be characterized by the distribution of the interarrival times of the customers, denoted by A(t), that is A(t) = P (interarrival time < t).
Immigration and custom- The Immigration an important process for security purpose. in the immigration inspection first is Documents review which includes passport, Visa, Immunization certificate, Documentation, Letter of confirmation or support. Second- standard questions like what is the nature of visit? How long do you plan to stay in the country, third finger print and photos, Fourth- After Approval put an official stamp. Some passengers choose for second level inspection for more information
(i) “secure implementation in queueing problem” Katsuhiko Nishizaki
Theoretical Economics Letters, 2012, 2, 561-565 http://dx.doi.org/10.4236/tel.2012.25103 Published Online December 2012 (http://www.SciRP.org/journal/tel) Objective of this paper is to consider queueing problems of allocating position in a queue to agents each of whom has a constant unit waiting cost with monetary transfers. Result shows that it is difficult find such conditions that are reasonable in the economic sense.
(ii) Approximate Analysis of an M/M/1 Markovian Queue Using Unit Step Function Dhanesh Garg Department of Mathematics, Maharishi Markandeshwar University, Ambala, India. In this article the incoming arrivals are Poisson stream; service time is exponentially distributed and the first-come first-served queueing discipline presented. the transient behaviour of the M/M/1 queue is very important for practical applications in this paper they obtained the analytic transient solution of M/M/1/N queuing system with a time-dependent arrival rate.
Kempe Gowda International Airport, Bangalore
Kempe Gowda International Airport (IATA: BLR, ICAO: VOBL) (commonly known as Bangalore Airport) is an international airport serving the Indian city of Bangalore. It is located at Devanahalli about 30 kilometres (19 mi) from the Bangalore City Railway Station and covers 4,700 acres (1,900 ha). (16 )https:/www indiaairport.com
History
Before Kempe Gowda International Airport Opened in 2008, Bangalore had a smaller airport, Known as HAL Airport. The previous airport gets its name from the Hindustan Aeronautics Limited (HAL), a state -owned aerospace and defence company The airport was constructed in 1940 by the founder of HAL, who used the airport as a manufacturing and testing site for military aircraft By 2005, the airport was servicing multiple international carriers, such as Lufthansa, British Airways, and Air France. However, the airport only had a single runway and limited parking space, with only six aircraft aprons. Seeing the exponential rise of traffic at the single-runway HAL Airport, the government moved to begin construction on a new major airport for Bangalore in 2005. The new hub was originally named Bangalore International Airport, before being officially renamed to Kempe Gowda International Airport in 2013 to honour the Founder of the city. The new airport had a single terminal and runway, but with space to build one more, and could accommodate up to 25 million Passengers.
 
 
 
Quick Facts About Kempe Gowda International Airport1.
1. Architectural Wonder- Bangalore Airport Terminal 2A terminal in a garden, environmental and ecological stewardship and a celebration of Karnataka`s rich and culture are the pillars of A terminal in a garden, environmental and ecological stewardship and a celebration of Karnataka`s rich heritage and culture are the pillars of the project. With the use of 100% renewable energy, the airport has already set a standard.
2. Hanging Garden Terminal - Designed as a tribute to Bangalore’s Garden city, Terminal 2 offers travellers a “walk in the garden” experience. Unique in its kind. It will be a sight to behold, unlike anything else in the world, for it will be both inside and out covered in greenery. Passengers will have access to nature through passageways located throughout the airport. Bells will dangle from the ceiling in the entrance, check-in, and security areas.
3. Celebration of Karnataka’s Art and Culture - The goal is to give visitors a genuine understanding of our state and nation. As a passenger travels through Bangalore airport terminal 2, art has the incredible power to delight them and add a touch of enchantment to usual routine process of boarding a plane.
4. Statue of prosperity - On the premises of Bengaluru International Airport stands a 108-foot bronze statue of Bengaluru founder Nada Prabhu Kempe Gowda. The statue of prosperity is constructed as a tribute to Kempe Gowda`s contribution to the growth of the city.
5. Bangalore Airport Terminal 2 Features - 22 entry and exit gates, 5,932 gate lounge seating, 95 check-in bays, 17 security check lanes, Departure immigration – 30 conventionally manned, ten e-gates, Arrival immigration – 34 conventional, six e-gates, 20 visas on- arrival bays and Nine baggage claim belts. (104)
SERVICES & FACILITIES:
Bangalore International Airport Terminal Information & Facilities
22 entry and exit gates, 5,932 gate lounge seating, 95 check-in bays, 17 security check lanes, Departure immigration – 30 conventionally manned, ten e-gates, Arrival immigration – 34 conventional, six e-gates, 20 visas on- arrival bays and Nine baggage claim belts. https://superrlife.com
Bangalore International Airport Terminal Information & Facilities
Bangalore International Airport also termed Kempe Gowda International Airport is located about 30 kilometres north of the city near the suburb of Devanahalli in Karnataka. Operated and owned by BIAL (Bengaluru International Airport Limited) it is the 29th busiest airport in Asia.
Spread over an area of 4,000 acres, it is the 3rd-busiest airport by passenger traffic, air traffic movements, and domestic and total cargo handled in India after Mumbai and Delhi Airport.
Airport Facilities:
ATMs / Cash Machines : If you require some cash then don’t worry there are plenty of options available at the airport.
Currency Exchange: there are currency exchange services available in the Arrivals Area, Departures Area, and Airside of both International and Domestic Departures.
Baby Care Facility: Families with the child can utilize the baby care room for breastfeeding and diaper-changing.
WIFI: Wi-Fi at Kempe Gowda International can only be accessed if you have an Indian cell phone number. You have to register and once you're registered,
Charging Stations: Power stations with eight outlets are located at every gate for the ease of travellers.
Food & Beverages: Food concessions are available throughout the airport operating at varying schedules. 24 hours open options are19) https:// fantasticfare.com
There are plenty of options such as Aubree, Barley & Grape Café, Belgian Fries Company, Cafe Coffee Day,
Domestic Terminal, Airside: Here you will find Fresh & Healthy, Krispy Kreme, Puro Gusto, and Tata Cha.
International Terminal, Airside:
Table 1: Kempe Gowda International Airport, Bangalore
Year
International Sector
Domestic Sector
Total
% Growth
2010
2.2
9.4
11.6
16.6
2011
2.4
10.3
12.7
9.6
2012
2.5
9.5
12.0
-5.5
2013
2.6
10.2
12.9
7.3
2014
2.9
12.5
15.4
19.7
2015
3.4
15.6
19.0
23.2
2016
3.6
19.3
22.9
20.6
2017
3.1
23
26
17
2018
3.3
22
25
16
 
Table shows Above Passengers data of Kempe Gowda international Airport Date 27/06/2023data collected by https://delhiairport.com. There are near about 50 international flights in a day on 27/06/2023 by this we can predict approximate flight per day at Indira Gandhi International Airport. Many international flights are connected with international Indira Gandhi Airport. Total passenger is 7944 Approx. If we divide a whole day in four parts of the day (i)00:00hr to 06:00hr passenger count is 3701. (ii)06:00hr to 12:00hr passenger count is 540(iii)12:00hr to 18:00hr passenger count is 180(iv) 18:00hr to 24:00hr passenger count is 3523It is observed that passenger count is different by this data we observe that in these four parts of the day there are differences between no of passengers.
CONCLUSION
We have developed the queueing model under Heavy traffic environment and made its intensive studies. The Immigration process in a country like India is complex process. One of the main reasons is heavy population load. Almost various performance measures obtained have been have been tabular form. We have made optimisation of indistinct queueing systems for its optimal number of servers with respect to minimization of time consumption of traveller. The entire process becomes faster.
A cost examination must be done in order to determine the cost practicability of increasing the number of servers during peak times.
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