2. There is a bank office with a single operator. The service time of each customer is exponentially distributed with the mean of 10 minutes. When a customer enters into the system, he notices that there are 3 customers in the bank. ii. What is the expected waiting time of the customer in the system?
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- Consider a single server queuing system. The system starts at time t=0. The arrival time of customers is: 0.8, 1.4, 2.7, 3.2, 3.8, 8.0, 8.6, 9.0, 9.2, and 9.8. The departure times are: 2.2, 4.0, 5.0, 6.2, and 10.0. Time is in minutes. The first in first out queuing discipline is followed. Simulate this system for six clients and estimate:i) The average delay in the waiting line ii) The average number of clients in the waiting line at any time t iii) The expected utilization of server.A printing shop receives an average of 1 order per day.The average length of time required to complete an orderis .5 day. At any time, the print shop can work on at mostone job.a On the average, how many jobs are present in theprint shop?b On the average, how long will a person who placesan order have to wait until it is finished?c What is the probability that an order will be finishedwithin 2 days of its arrival?Questions 1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 00 2. Simulate 15 customers arriving at the using the random numbers given below. 3. What is the average time a customer waits for service? THIS IS NOT GRADED ASSIGNMENT, THIS IS PRACTICE FOR EXAMS
- Assume that during minute t (the current minute isminute 1), the following sequence of events occurs: (1) Atthe beginning of the minute, xt customers arrive at the cashregister; (2) the store manager decides how many cashregisters should be operated during the current minute;(3) if s cash registers are operated and i customers arepresent (including the current minute’s arrivals), c(s, i)customers complete service; and (4) the next minute begins.A cost of 10¢ is assessed for each minute a customerspends waiting to check out (this time includes checkouttime). Assume that it costs c(s) cents to operate s cashregisters for 1 minute. Formulate a dynamic programmingrecursion that minimizes the sum of holding and servicecosts during the next 60 minutes. Assume that before thefirst minute’s arrivals, no customers are present and thatholding cost is assessed at the end of each minute.Ann Elkin, who works for Brill Co. has been sent out to conduct two customer evaluations, which have gone much more quickly than Ann anticipated. Her supervisor does not expect Ann back until alter lunch. It Is now 10:30 A.M., and Ann would like to run some personal errands and then go to lunch before returningto work at 1:00P.M. Should Ann take the time? Would you? Why or why not? Is this any different than if Ann was sitting at her office desk using a work computer to access her personal email, surf the internet, check social media or make personal phone calls on her work phone?Scenario 1: The Restaurant You are a manager of a restaurant. It was Saturday evening and the restaurant is full of customers. There are even other customers who are waiting to get seated. One of your staff, Raphael, called your attention that Bea (another staff) is taking too long talking to a customer every time she serves them. Because of this, other employees take time to talk to their customers as well so they’ll serve less people. This caused a delay in the service. When you are about to call the attention of Bea regarding the matter, you’ve noticed that her customer is one of your VIP customers. QUESTION 1: How will you build an effective team after this incident?
- Scenario 1: The Restaurant You are a manager of a restaurant. It was Saturday evening and the restaurant is full of customers. There are even other customers who are waiting to get seated. One of your staff, Raphael, called your attention that Bea (another staff) is taking too long talking to a customer every time she serves them. Because of this, other employees take time to talk to their customers as well so they’ll serve less people. This caused a delay in the service. When you are about to call the attention of Bea regarding the matter, you’ve noticed that her customer is one of your VIP customers. QUESTION 1: How will you manage the conflict in this situation?1. What is the outcome when a bottleneck resource is augmented with more capacity? 2. Which of the following statements are true? a) Installed capacity in service systems are always based on peak demand b) Service systems designed to handle average capacity will be more effective c) Improving effectiveness of a service will require greater investment of capacity d) None of the above 3. The arrival rate at the second server in a two stage serial queuing system is a. Service rate of server 1 b. Same as arrival rate at server 1 c. Minimum of service rate and arrival rate at server 1 d. Cannot be determined In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? 4. In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? a) The required cycle time will also increase proportionally b) The…2. Explain the concept of time utility with suitable example.
- A call center has been serving 900 customers per day, with a 10% capacity cushion. There have been complaints about the length of time customers have to wait before their call is answered. If the manager of the call center wants to double the capacity cushion, how much extra capacity is needed?8. The parts department of a large automobile dealership has a counter used exclusively for mechanics’requests for parts. The time between requests can be modeled by a negative exponential distributionthat has a mean of five minutes. A clerk can handle requests at a rate of 15 per hour, andthis can be modeled by a Poisson distribution that has a mean of 15. Suppose there are two clerksat the counter.a. On average, how many mechanics would be at the counter, including those being served?b. What is the probability that a mechanic would have to wait for service?c. If a mechanic has to wait, how long would the average wait be?d. What percentage of time are the clerks idle?e. If clerks represent a cost of $20 per hour and mechanics a cost of $30 per hour, what numberof clerks would be optimal in terms of minimizing total cost?b. What is the longest wait time experienced by a customer?