Consider a three-station production line with 5, 12 and 2 machines at each respectivestation. The average processing times are 15, 30 and 3 minutes, respectively. Supposecurrent WIP = 20. Compute the TH rate for the Best Case Scenario
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Consider a three-station production line with 5, 12 and 2 machines at each respective
station. The average processing times are 15, 30 and 3 minutes, respectively. Suppose
current WIP = 20. Compute the TH rate for the Best Case Scenario
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- Please don't provide handwritten solution ...You have started a new business with your friends while you are still a student. You have special clientele.. they like snakes as pets…Hence you start a tea/snake shop (you will serve tea and snakes for entertaining your clients). You decide to hire one server in the beginning. You expect about 15 customers per hour (mean value with Poission distributed arrivals) arriving in the morning hours. The server will take about 4 minutes to serve a customer (mean time). For this situation (Situation A) Find: a. Arrival and service rates b. Find system utilization c. Percentage of time server is idle d. What is wrong with the picture? e. What can you do to help the situation? f. Once you correct the situation (adopt one of the possible solutions), find probability of 5 customers in the system. g. Find the expected number of customers waiting to be served. h. What is the service and weight times (system wait time)? i. Solve the above problem assuming M/M/1 queue discipline. You are now become…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?
- A bank has 1 enquiries staff and six tellers. Customers enter the system and walk up to the enquires counter for the enquiries queue or they go to the tellers station where they join a single queue for the 6 tellers.The arrival rate at the enquiry counter, lambda 8 customers per hour and the service rate at the enquiry counter, Mu 6 minutes per customer. The arrival rate at the tellers’stations, lambda 10 clients per hour and the service rate at the tellerstations, Mu 4 minutes per client. Find the total time customers spend at the bankAssume that an average of 125 packets per second ofinformation arrive to a router and that it takes an average of.002 second to process each packet. Assuming exponentialinterarrival and service times, answer the followingquestions.a What is the average number of packets waiting forentry into the router?b What is the probability that 10 or more packets arepresent?Podunk University Operations Research Departmenthas two phone lines. An average of 30 people per hour tryto call the OR Department, and the average length of aphone call is 1 minute. If a person attempts to call whenboth lines are busy, he or she hangs up and is lost to thesystem. Assume that the time between people attempting tocall and service times is exponential.a What fraction of the time will both lines be free?What fraction of the time will both lines be busy? Whatfraction of the time will exactly one line be free?b On the average, how many lines will be busy?c On the average, how many callers will hang up eachhour?
- The average waiting time of customers over 10 replications obtained from a termination simulation model is shown below Replication / Average waiting time 1 / 3.90 2 / 1.18 3 / 4.88 4 / 4.21 5 / 1.83 6 / 3.77 7 / 1.7 8 / 2.92 9 / 2.39 10 / 2.70 Use alpha = 0.05 for following questions, if needed a) what is the minimum number of sample size required, if the error criterion is 0.75?RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?snip
- The following build-up diagram tracks the number of customers for a single-server queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day. The number of customers shown in the chart includes both those in service and waiting in line. Build-up diagram 3 2 1 # of Customers in system (in service + waiting) 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, the customer who arrived the second earliest the second customer, etc.. The service discipline is first-come-first-served (FCFS). According to the diagram, what is the service time of the first customer in minutes?What is the answer in this number 2?The following build-up diagram tracks the number of customers for a single-server queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day. The number of customers shown in the chart includes both those in service and waiting in line. Build-up diagram # of Customers in system (in service + waiting) 3 2 1 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, the customer who arrived the second earliest the second customer, etc.. The service discipline is first-come-first-served (FCFS). According to the diagram, how long did the second customer have to wait (in minutes) before he can enter service?