A car wash facility operates with only one bay. Cars arrive according to a Poisson fashion with a mean of 4 cars per hour and may wait in the facility’s parking lot if the bay is busy. The parking lot is large enough to accommodate any number of cars. Find the average time a car spends in the facility, if the time for washing and cleaning a car follows Uniform distribution between 8 and 12 mins.

A car wash facility operates with only one bay. Cars arrive according to a Poisson fashion with a mean of 4 cars per hour and may wait in the facility’s parking lot if the bay is busy. The parking lot is large enough to accommodate any number of cars. Find the average number of cars waiting in the parking lot, if the time for washing and cleaning a car follows a normal distribution with mean 12 min and S.D 3 mins.

A car wash facility operates with only one bay. Cars arrive according to a Poisson fashion with a mean of 4 cars per hour and may wait in the facility’s parking lot if the bay is busy. The parking lot is large enough to accommodate any number of cars. Find the average time a car spends in the facility, if the time for washing and cleaning a car follows a normal distribution with mean 12 min and S.D 3 mins

A car wash facility operates with only one bay. Cars arrive according to a Poisson fashion with a mean of 4 cars per hour and may wait in the facility’s parking lot if the bay is busy. The parking lot is large enough to accommodate any number of cars. Find the average number of cars waiting in the parking lot, if the time for washing and cleaning a car follows a discrete distribution with values equal to 4,8,15 minutes and corresponding probabilities 0.2,0.6 and 0.2.

A car wash facility operates with only one bay. Cars arrive according to a Poisson fashion with a mean of 4 cars per hour and may wait in the facility’s parking lot if the bay is busy. The parking lot is large enough to accommodate any number of cars. Find the average time a car spends in the facility, if the time for washing and cleaning a car follows a discrete distribution with values equal to 4,8,15 minutes and corresponding probabilities 0.2,0.6 and 0.2.

In a heavy machine shop, the overhead crane is 75% utilized. Time study observations gave the average slinging time as 10.5 minutes with a standard deviation of 8.8 minutes. What is the average calling rate for the services of the crane?

In a heavy machine shop, the overhead crane is 75% utilized. Time study observations gave the average slinging time as 10.5 minutes with a standard deviation of 8.8 minutes. what is the average delay in getting service?

A one-man barber shop takes exactly 25 minutes to complete one hair-cut. If customers arrive at the barber shop in a Poisson fashion at an average rate of one every 40 minutes, how long on the average a customer in the spends in the shop.

In a Charity Clinic there are 2 doctors, 1 assistant doctor D₁ and his senior doctor D₂. The junior doctor tests and writes the case sheet and then sends to the senior for diagnosis and prescription of medicine. Only one patient is allowed to enter the clinic at a time. A patient who has finished with D₁ has to wait till the patient with D₂ has finished. If patients arrive according to Poisson with rate 1 per hour and service times are independent and follow exponential with parameter 3 and 2, find the probability of a customer entering the clinic.

In a Charity Clinic there are 2 doctors, 1 assistant doctor D₁ and his senior doctor D₂. The junior doctor tests and writes the case sheet and then sends to the senior for diagnosis and prescription of medicine. Only one patient is allowed to enter the clinic at a time. A patient who has finished with D₁ has to wait till the patient with D₂ has finished. If patients arrive according to Poisson with rate 1 per hour and service times are independent and follow exponential with parameter 3 and 2, In a Charity Clinic there are 2 doctors, 1 assistant doctor D₁ and his senior doctor D₂. The junior doctor tests and writes the case sheet and then sends to the senior for diagnosis and prescription of medicine. Only one patient is allowed to enter the clinic at a time. A patient who has finished with D₁ has to wait till the patient with D₂ has finished. If patients arrive according to Poisson with rate 1 per hour and service times are independent and follow exponential with parameter 3 and 2,find The average number of customer in the clinic.

In a Charity Clinic there are 2 doctors, 1 assistant doctor D₁ and his senior doctor D₂. The junior doctor tests and writes the case sheet and then sends to the senior for diagnosis and prescription of medicine. Only one patient is allowed to enter the clinic at a time. A patient who has finished with D₁ has to wait till the patient with D₂ has finished. If patients arrive according to Poisson with rate 1 per hour and service times are independent and follow exponential with parameter 3 and 2, In a Charity Clinic there are 2 doctors, 1 assistant doctor D₁ and his senior doctor D₂. The junior doctor tests and writes the case sheet and then sends to the senior for diagnosis and prescription of medicine. Only one patient is allowed to enter the clinic at a time. A patient who has finished with D₁ has to wait till the patient with D₂ has finished. If patients arrive according to Poisson with rate 1 per hour and service times are independent and follow exponential with parameter 3 and 2,find The average time spent by a patient who entered the clinic.

In M/D/1, D stands for

In M/E/1, E stands for

IN M/G/1 MODEL SERVICE TIME DISTRIBUTION FOLLOWS

IN M/G/1 ARRIVAL FOLLOWS

P.K FORMULA IS ALSO KNOWN AS AVERAGE LENGTH OF

THE CUSTOMER RECEIVES SERVICE AT A SERIES OF SERVICE FACILITIES IN A FIXED SEQUENCE IS CALLED

THE SERVICE ACILITIES ARE ARRANGED IN SEQUENCE AND THE FLOW IS ALWAYS IN A SINGLE DIRECTION FROM FACILITY TO FACILITY IS CALLED

IN M/E_K/1 MODEL SERVICE TIME DISTRIBUTION FOLLOWS

IN M/D/1 MODEL SERVICE TIME VALUE IS

IN M/D/1 MODEL SERVICE TIME DISTRIBUTION FOLLOWS

VARIANCE VALUE OF M/D/1 MODEL IS

IF CUSTOMER MAY ENTER FROM OUTSIDE THE SYSTEM, CIRCULATE AMOUNG THE SERVICE AND THEN LEAVE THE SYSTEM IS CALLED

IF NO CUSTOMER MAY ENTER THE SYSTEM FROM OUTSIDE AND NO CUSTOMER MAY LEAVE THE SYSTEM IS CALLED

WHAT IS ‘G’ STANDS FOR IN THE MODEL M/G/1

WHICH ONE IS THE EXAMPLE FOR SERIES QUEUE?

THE INSTABILITY OCCURS IN THE SYSYTEM IS CALLED

SYSTEM OF INFINITE QUEUE IN SERIES QUEUE IS

IF THE CUSTOMER CIRCULATE INSIDE THE SYSTEM FOR DIFFERENT SERVICE IS CALLED