Q.2 Interarrival time of pieces at the given flow-shop is exponential with mean 10 minutes. Operation time of M1 machine has Uniform distribution with a=3 and b-11. Operation time of M2 machine has Normal distribution with µ=5 ; x = 1.5; Calculate the average waiting time in queue and total machine idle time. MI M2
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- Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.Q4. A. Explain the concept of queue and queue theory or waiting line theory and its importance in business B. A bank has only one counter for its customers. Suppose that the customers to the bank arrive at random with exponential inter arrival time and their mean inter arrival time is 10 minutes. Suppose the counter takes on an average 15 minutes to serve the customer and this also follow an exponential distribution. a) What percentage of time the bank counter is busy? b) On the average, how many customers are in the system? c) On the average, how many customers are in the queue waiting for the service? d) How long a customer will take to be out of the service system after being served? e) How long a customer to wait before being served? f) What is the probability that there are at most three customers in the system?Question related to queing theory don't copy In a tool crib, workers come to take tools at 6 per hour on the average. Waiting for them costs Rs. 12 per hour. The service time per worker is in the tool crib is 12 minutes. What will be total waiting cost of the workers per day if it is 8 hours a day? Assume M/M/1 queuing system.
- Question 9 In Littlefield Labs, each order is processed at three stations before being completed and sent to customers. Suppose at the peak demand (i.e., after 180 days in the game) the flow rate is 10 orders per day. And the average inventory at station 1, station 2 and station 3 are 72, 65 and 70 kits, respectively (these include kits being processed as well as those in queues). What is the average lead time (in hours) o complete an order? Please specify your answer in at least 2 decimal points. (Remember 1 order has 60 kits, each day has 24 hours). NextQuestion An average of 17 cars per hour arrive at a single-server drive-in teller. Assume the average service time for each customer is 4 minutes, and both interarrival times and service times are exponential. Answer the following questions: a. What is the mean arrival time? b. What is the mean service time? c. What is the probability that the teller is busy? d. What is the average number of cars waiting in line for the teller? e. What is the average amount of time a drive-in customer spends waiting in the parking lot? f. What is the average number of cars in the system? g. Describe the possible behavior of customer arrivals. Justify your answer.Question related to queing theory don't copy . In a restaurant, customer arrival is Poisson at 12 per hour. In this restaurant, the customers do self-service. Exponentially distributed service time 5 minutes per customer. Find the average waiting time of a customer in the restaurant.
- QUESTION 10 MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a Poisson distribution, and service times are on average equal to 16 minutes per customer. What is the number of customers waiting in the queue on average? O&1.333 Ob.4.0 Oc.0.952 Od32 O.0.152Question 5 Gorsuch Law Firm has two paralegals. Customers arrive randomly at an average rate of 8 customers per hour and a standard deviation in interarrival times of 5 minutes. Service times have a mean of 8 minutes and a standard deviation of 10 minutes. What is the total time a customer spends in the system? O 7.5 minutes 11.5 minutes 3.5 minutes 83%(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
- I still don't know how to get a finish time and wait time. Question Complete the following table. Customer Arrival Time Service Time Finish Time Wait Time 1 0 10 2 3 3 3 8 7 4 10 21 5 15 11 6 28 8 Assume there are two queues, what is the average waiting time?Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 21 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…