An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used every time a machine requires loading or unloading. The demand for service is random. Data taken by recording the elapsed time between service calls followed an exponential distribution having a mean of a call every 26 minutes. In a similar manner, the actual service time of loading or unloading took an average of 10 minutes. If the machine time is valued at Rs. 8 50 per hour how much does the downtime cost per day?
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![Question related to queing theory
An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used
every time a machine requires loading or unloading. The demand for service is random. Data
taken by recording the elapsed time between service calls followed an exponential distribution
having a mean of a call every 26 minutes. In a similar manner, the actual service time of
loading or unloading took an average of 10 minutes. If the machine time is valued at Rs.
8.50 per hour, how much does the downtime cost per day?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34954ac4-39a5-4846-b131-502fad2fa22f%2Fd4bb8cc5-72b8-4ca9-a225-c1fd31bf909d%2Fmmk3c1m_processed.png&w=3840&q=75)
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- Question: What is the sample mean, sample standard deviation, minimum, and maximum of the total time in the system observed for the customers who arrived at, and departed from, the system during the time interval [100.0, 120.0]? Using Excel formulas. What is the time-averaged (time-weighted) mean number waiting in the queue during the time interval [100.0, 120.0] using a hand simulation table. Customer Arrives at Queue Departs from Queue Departs from Server Time in Queue Time in Service Total Time in System 83 100.4 102.3 108.3 84 101.5 108.3 109.5 85 105.1 110.6 86 106.8 112.9 87 108.1 114.2 88 113.5 116.3 89 117.9 119.2 90 118 91 119.9 109.5 110.6 112.9 114.2 117.9 119.2 After 120.0 After 120.0 After 120.0 Mean SD Min Max Just Finished Event Variables Attributes (Arr Times) Time t Event Type Q(t) B(t) (In Queue) In Service P Entity # N Statistical Accumulators Event Calendar [WQ WQ* ETS TS* JQ(t) Q(t)* JB(t) Entity # Time TypeDIMU 2105 assignmen QUESTION 2 One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours: Sample 1 2 3 4 5 6 7 8 9 10 Number of Breaks 3 2 4 1 5 3 2 4 0 2 Sample 11 12 13 14 15 16 17 18 19 20 Number of Breaks 3 4 6 7 8 6 5 7 8 6 Answer these questions: a. Construct a c-chart to monitor this process. b. Plot the c-chart graph. c. indicate if the process was out of control at any timeQuestion 3 [Soalan 31 Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per hour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. [Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu sibuk…
- Need help with question B. The fomula is Lmax = In K/ In P12 ed 1.00 An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used every time a machine requires loading or unloading. The demand for service is random. Data taken by recording the elapsed time between service calls followed an exponential distribution having a mean of a call every 24 minutes. In a similar manner, the actual service time of loading or unloading took an average of 8 minutes. What is the average number of units in the system in the steady state? a) 0.6 Select one: O 1. c 02. a O 3. b O 4. d b) 0.9 c) 0.5 d) 0.7Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part A Answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq)? c. What is the average number of customers…
- Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part B Skyline is considering adding a second clerk to take calls. The store would pay that person the same $20 per hour. Using appropriate formula for the multiple channel model, answer the following questions: a. What…What is Nonnegativity constraints? This is a required question What is Slack variable? *Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 10 calls per hour. The arrival rate is 16 calls per hour.
- Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls to the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part A Answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq, c. What is the average number of customers…Question 3) Waiting Line Analysis Helen runs a small shop where she provides a service. She is able to process an average of 8 customers per hour. An average of 5 customers per hour seek this service at her shop. What is: a) the probability that Helen will not be working with a customer (no customers) when the shop phone rings? b) the probability of 4 customers in the system? c) the average time a customer spends waiting in line (in minutes)?Can you do question E
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