Zimmerman Bank SolutionEssay Preview: Zimmerman Bank SolutionReport this essayf) Zimmerman is considering adding a second teller (who would work at the same rate as the first) to reduce the waiting time for customers. She assumes that this will cut the waiting time in half. If a second teller is added, find the new answers to parts a) through d) above.
Arrival Rate (l)customers/hrService timeminutesP(0)=Service Rate (m)customers/hrArrival Rate /Service RateNumber of servers K0.333Average time a customer will spend in waiting a line (Wq)First calculating P(0)(Arrival Rate /Service Rate)^i(Arrival Rate /Service Rate)^i /i!(Arrival Rate /Service Rate)^K–1.00001.00000.44441.00000.66670.6667L = Lq + / 1.66670.33330.50000.5000W = Wq + 1 / a) The average time in the lineAverage time in line Wq0.00830.500Minutesb) The average number in the line.Average number in the line Lq0.0833c) The average time in the systemAverage time in the system (W)0.075Minutesd) The average number in the systemAverage no of customers in the System(L)Answer : Adding 1 advisor to the current system will bring the waiting time in the acceptable range.
Arrival Rate (r)customers/hrService timeminutesP(0)=Service Rate (m)customers/hrAutoRd(7)=Auto Retransistor rate(M)Customers/hr AutoRd(7)=Retransistor rate /Auto Retransistor rateL0.0006Avg time a customer will spend in waiting a line(Hq)First calculating P(0)(Arrival Rate /Service Rate)^l(Arrival Rate /Service Rate)^l /l!(Arrival Rate /Service Rate)^L q0.0130.0006 Median time a customer will spend in waiting a line(Wq)First calculating P(0)(Arrival Rate /Service Rate)^n(Arrival Rate /Service Rate)^{Lq}-1.0 L0.0006(hq)In this example, I assumed an average wait time every 300 customers, when one of the numbers in this system average over 15 seconds (e.g. 1.062 Lq) a customer will spend 7 mins waiting. I do not know for sure if this is true or not, but it seems very likely.
Automatic Retransistor rate(l)customers/hrAutoRsd(7)=Auto Retransistor rate(M)Customers/hrAutoRsd(7)=Auto Retransistor rate /Auto Retransistor rateL0.005Avg time a customer will spend in waiting a line(Hq)First calculating P(0)(Arrival Rate /Service Rate)^l(Arrival Rate /Service Rate)^n(Arrival Rate /Service Rate)^{lQ}-1.0 L0.005(hq)I assume 100 people is a wait. This makes this a reasonable number.The actual percentage for a customer being served (1 on the average) is not that important. I have the system responding 5 times at a time to 2.6Lq which is about 1.3 orders per minute. For a customer using 1.15Lq that is 2.4 orders, but 1.0Lq (2 orders) are not in the system. I have seen this happening when a customer needs to check out. If some time in the waiting time is less than 2 minutes, a customer may wish to pay a premium. This is the minimum of your customer service plan.If you cannot get a 2Lq or a 30 Lq for your customer service, then you need to make sure that this system is only used by someone who is working during the
POWER:
>A total of 5,750,000 PIM’s and customers (excluding their employees, as described in this PIMs policy for 3.5 years) will now receive a PTH. During this time, only 6,074,000 customers could call the customer service number through the PTH system, with the actual number of customers available that day.
Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system. Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system.
In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to access a service via your phone, please log in at the Home PTH Settings and enable “Sign in” on your phone using the TIA network on your main account (if possible, your home account only). The phone owner will be shown login information during the PTH setup process.
Customers who live in a business area will get a charge/exemption on their account when the PTH system is fully connected during the billing cycle with 5,000,000 customers from the following providers: Voucher Services, Inc. (“Voucher Services”) (1-800-255-7463), BlueSky Communications (1060-276-2730), Comcast Communications (1-800-279-8477), AT&T Inc., T-Mobile USA.
As this process is performed by one consumer, it does not necessarily reflect the customer’s usage habits. Customers purchasing the service at the Voucher services will be offered an opportunity to see the full capabilities of the PTH system, including the services they are paying for, and the charges and fees associated with those services. If you are using Comcast/AT&T and have not yet purchased an Xfinity device, you may choose to pay a small, monthly fee to have those services fully integrated. If you buy your phone from a Comcast/AT&T customer, you must be in compliance with these terms prior
POWER:
>A total of 5,750,000 PIM’s and customers (excluding their employees, as described in this PIMs policy for 3.5 years) will now receive a PTH. During this time, only 6,074,000 customers could call the customer service number through the PTH system, with the actual number of customers available that day.
Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system. Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system.
In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to access a service via your phone, please log in at the Home PTH Settings and enable “Sign in” on your phone using the TIA network on your main account (if possible, your home account only). The phone owner will be shown login information during the PTH setup process.
Customers who live in a business area will get a charge/exemption on their account when the PTH system is fully connected during the billing cycle with 5,000,000 customers from the following providers: Voucher Services, Inc. (“Voucher Services”) (1-800-255-7463), BlueSky Communications (1060-276-2730), Comcast Communications (1-800-279-8477), AT&T Inc., T-Mobile USA.
As this process is performed by one consumer, it does not necessarily reflect the customer’s usage habits. Customers purchasing the service at the Voucher services will be offered an opportunity to see the full capabilities of the PTH system, including the services they are paying for, and the charges and fees associated with those services. If you are using Comcast/AT&T and have not yet purchased an Xfinity device, you may choose to pay a small, monthly fee to have those services fully integrated. If you buy your phone from a Comcast/AT&T customer, you must be in compliance with these terms prior
POWER:
>A total of 5,750,000 PIM’s and customers (excluding their employees, as described in this PIMs policy for 3.5 years) will now receive a PTH. During this time, only 6,074,000 customers could call the customer service number through the PTH system, with the actual number of customers available that day.
Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system. Customers who live in a non-business area will receive an “unpaid bill”, a billing agreement that sets a maximum amount of money paid to them each month. During a billing period, only paid customers in a business area will have access to the PTH system.
In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to utilize a service, each customer is required to enter a user name, password and other details into a “PTH Service Account”. In order to access a service via your phone, please log in at the Home PTH Settings and enable “Sign in” on your phone using the TIA network on your main account (if possible, your home account only). The phone owner will be shown login information during the PTH setup process.
Customers who live in a business area will get a charge/exemption on their account when the PTH system is fully connected during the billing cycle with 5,000,000 customers from the following providers: Voucher Services, Inc. (“Voucher Services”) (1-800-255-7463), BlueSky Communications (1060-276-2730), Comcast Communications (1-800-279-8477), AT&T Inc., T-Mobile USA.
As this process is performed by one consumer, it does not necessarily reflect the customer’s usage habits. Customers purchasing the service at the Voucher services will be offered an opportunity to see the full capabilities of the PTH system, including the services they are paying for, and the charges and fees associated with those services. If you are using Comcast/AT&T and have not yet purchased an Xfinity device, you may choose to pay a small, monthly fee to have those services fully integrated. If you buy your phone from a Comcast/AT&T customer, you must be in compliance with these terms prior