The document summarizes queueing analysis for customer wait times at an HDFC Bank branch on a given date. [1] Before lunch, the arrival rate was 120-140 customers and the average wait time was 5-7 minutes with 30 customers waiting. [2] After lunch, the arrival rate dropped to 60-80 customers and the average wait time remained 5-7 minutes but with 20 customers waiting. [3] Between 10-20, the arrival rate was 80-100 customers before lunch and 30 customers after lunch. The average wait times were 3 minutes before lunch and 2-3 minutes after lunch.

1. HDFC BANK
Case :-
Date and Day Before Lunch After Lunch
01-10 150-160 60-80
10-20 100-110 50-60
20-30 80-90 40-50

2. CASE SOLAVE:-
Arrival rate (λ) Before Lunch = 120-140 Total= 300-350
Service Rate (µ)= min = 20
(1) proportion of time that the system will be idle
= = no idle time
Note:- according to bank manager their have hardly any possibility of being idle in the
Branch till that date. Provide no server failure take place
(2) average waiting time of a costumer is queue before reaching the server is given by
Wq =
Since, it has a rush, and server is continuous, according to bank manager average
waiting time in the queue is 5-7 mins.
(3) average number of customer waiting for the service is given by :-
Lq =
According to bank manager average costumer waiting for queue are 30 person.
AFTER LUNCH
(1) λ= 60-80
µ= =20
(2) no idle time
(3) Wq = 5-7 min.
(4) Lq = 20 persons.
10-20 (Before lunch)
λ= 80 – 100
µ= = 20
No idle time
Average waiting time = 3 mins
Lq = 18 persons.

3. (After Lunch)
λ= 30 mins.
µ= 20 mins
NO idle time
Wq = 2-3 mins.
Lq = 12 persons.
( 20-30 ) Before Lunch
λ= 70-90
µ= = 20
no idle time
___ = 3-5 mins.
Lq = 25 persons.
(After Lunch)
λ= 30-50 persons.
µ= 20 mins.
No idle time
Wq = 3-4 mins.
Lq = persons.

4.  According to bank manager
01-10 pension holder
10-20 account opening, loan and deposit.
20-30 money withdrawal