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

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.

(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.

According to bank manager

01-10 pension holder

10-20 account opening, loan and deposit.

20-30 money withdrawal