It takes an operator 1.70 minute to service a machine and 0.2 minute to walk to the next machine. Each machine runs automatically for 2 minutes, the operator earns $14.00/hour and the machines cost $22.00/hour to run. After calculating n1 and n2, How many machines can the operator service based in the lowest TEC? A. 2 B. 4 C. 6 D. 5 E. 3
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It takes an operator 1.70 minute to service a machine and 0.2 minute to walk to the next machine. Each machine runs automatically for 2 minutes, the operator earns $14.00/hour and the machines cost $22.00/hour to run.
After calculating n1 and n2, How many machines can the operator service based in the lowest TEC?
A. 2
B. 4
C. 6
D. 5
E. 3
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- Exercise 1 A supermarket is trying to decide how many cash registers to keep open. Suppose an average of 18 customers arrive each hour, and the average checkout time for a customers is 4 minutes. Interarrival times and service times are exponential, and the system may be modeled as an M/M/S/GD//0 queuing system. It costs $20 per hour to operate a cash register, and a cost of 25 cents is assessed for each minute the customer spends in the cash register area. How many registers should the store open?Q2. Customers visit an astrologer at a rate of 4/hour (Poisson) and take and average of 12 minutes (Exponential). Compute the probability that: a) There are three or less people in the system b) There are 5 or more people in the system c) The astrologer is freeno handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…
- 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.Consider the order delivery system of Heartha Hardware and Construction Supplies:- Customers (whether by bulk or retail) would line up in a counter where sales representatives will entertain them. It would take about 15 minutes before a customer will be entertained due to the number of customers being served by the sales representative and only about 4 sales representatives are on duty every day.- The sales representative will take down the customer’s order in the order slip with corresponding prices. On some cases, she will ask the person in-charge in the warehouse if the items are available. She then forwards the order slip to the cashier.- The cashier would sum-up again manually the order slip from the sales representative to check the accuracy of the footing of the totals as well as the prices indicated. This would take about 10 minutes, depending on the bulk of the order being placed.- The official receipt will be printed and will be given to the…Auto Shoppe is considering the purchase of a new engine computer code reader for $30,000. Auto Shoppe can charge $50 for the service of reading the codes from a single car engine, while the actual cost of the reading would only be $10 per car engine. How many cars would need their engine computer codes read by Auto Shoppe for it to break-even on this purchase? O a. 1000 cars Ob. 210 cars Oc. 160 cars d. 750 cars Oe. 1210 cars
- During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find: (a) The average number of customers waiting for service if 5 clerks are used. (b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes. (c) If clerk cost is $40 per hour and customer waiting time represents a “cost” of $30 per hour, how many clerks can be justified on a cost basis? Please show work.5. A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes inCurrently, Commercial Banks have 1 unit of ATM machines to meet customer needs. It is known that there is an average of 12+x customers in the system. Then it is also known that the average time spent by someone in the system is 10 minutes. Assume that the system follows M/M/1. The Commercial Bank operational manager is considering whether it is necessary to add 1 unit of ATM machine. What are your considerations? To strengthen the consideration, compare the queue length, queue length, and utilities before and after adding an ATM machine? Note: x denoted by the last number of my ID Number.Example, if my ID number is 2602296545, then the number used are “5”
- The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.a) What is the probability of having 0 patients in the system (P 0 )?A supermarket has four girls ringing sales at the counters. If the service time for each customer is exponential with mean 4 minutes, and if people arrive in a Poisson fashion at the rate of 10 per hour, calculate i. The average number of customers in the system. ii. The average time a customer spends in the system. iii. The average queue length iv. The average waiting time for customers. v. The expected percentage of idle time for each girl vi. The probability that at least a girl is waiting for the customer.Currently, Commercial Banks have 1 unit of ATM machines to meet customer needs. It is known that there is an average of 15 customers in the system. Then it is also known that the average time spent by someone in the system is 10 minutes. Assume that the system follows M/M/1. The Commercial Bank operational manager is considering whether it is necessary to add 1 unit of ATM machine. What are your considerations? To strengthen the consideration, compare the queue length, queue length, and utilities before and after adding an ATM machine?