3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queue
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- Proctoring Enabled: Chapter 12 Computer Simulation: Bas... A Saved Help Save & Exit Submit 4 Customers arrive at a carwash on average once every 60 minutes. It seems likely that customer arrivals follow an exponential distribution. For each of these random numbers, calculate the simulated time between arrivals at the carwash. (Round your answers to the nearest whole number.) Random Number Time Between Arrivals 0.45 0.65 0.48Define a possible service guarantee for each of the following services:a. College classesb. A theater performancec. Buying a used carQ2. 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 free
- 1. Calculate the average customer arrival rate and service rate per hour. 2. Calculate the probability of zero patients in the system (P0), probability of one patient (P1), and probability of two or more patients simultaneously arriving during the night shift. 3. Using a criterion that if the probability is greater than 1 percent, a backup OR team should be employed, make a recommendation to hospital administration. I'm not sure how to find the answers to the empty boxes.I need help with everything. I have no idea how to do this. 1. A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered: A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes. A single-server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutes. A two-server operation with two service windows and two employees. The employee stationed…. An automobile dealer is planning a new custom service center to repair the microcomputer-based engine controls in new-model cars. With the new diag- nostic equipment they are installing, each job should take about 75 minutes to complete. The dealer plans to operate the center 8 hours per day. Preliminary estimates suggest that about 5 customers will bring their cars for repair each day. To analyze this situation, make the following assumptions: The customer arrivals form a Poisson process. Each job requires on average 75 minutes. We can ignore the time that the service center is closed. (That is, no arrivals occur during such gaps, and we don't count them in the total response time.) (a) Measure time in hours. In the terms of queueing theory, what are A, μ, and p? (b) Compute an estimate of the average total response time (which we call Ts). 2 (c) Estimate the average number of cars in the center (including those waiting as well as in service). (d) Suppose the average number of…
- The common measures of a queuing system's performance include: O probability that the service facility will be idle, average queue length, and probability that the waiting time will exceed a specified duration. average time each customer spends in the system, probability that the service system will be idle, and average time each customer spends in the queue. average queue length, maximum time a customer may spend in the queue, and the utilization factor for the system. average time each customer spends in the system, maximum queue length, and probability of a specific number of customers in the system. maximum queue length, maximum time a customer may spend in the queue, and average queue length.What does the intercept mean in equation below ? X: C18 (total employees hours worked per week) versus Y: C19 (clinic patients seen per week). Equation: y=0.49x+0.84 Slope:0.49 Intercept:0.84 Does the intercept mean it is 0.84 and predicts how many patients seen if zero hours were workeed. In this case it has no meaning , it is only a line fitting?Scenario 3: Falsifying Attendance Jason, a Junior System Administrator with the Management Information Systems Department, clocked in 4 minutes and 27 seconds late for work this morning. While he won’t get fired for it, being late this once means that he will not receive the perfect attendance incentive which he needs to make ends meet, given his daughter’s recent series of hospitalizations. It’s not that Jason didn’t make an effort to be there on time. He actually arrived in the office five minutes early but was unable to clock in immediately because his direct superior, Raffy, asked him for an informal project progress report as soon as he walked in the door. As a Junior System Administrator, Jason has access and the capability to edit the company’s attendance records. He figures that since he was unable to punch in only because of his boss, it wouldn’t hurt to edit the timestamp on his attendance for today. What is the Business Ethics Principles that suit to this case study?…
- How many years (t) can we expect to do business with a customer? Thetotal number of years is denoted by T.5)A company that operates fast food hamburger restaurant is evaluating the service at its facility. The customers have been observed to arrive at the drive-through window according at an average rate of 30 customers per hour. The restaurant believes the arrival rate conforms to a Poisson distribution. Evaluating the current service rate, the restaurant calculates that the drive-through is capable of processing 40 customers per hour. d. A vendor of specialized drive-through systems has 3 installations available. System A promises a service rate of 60 customers per hour, system B is more expensive but can process 75 customers per hour and system C requires a sizable investment and will be capable of processing 90 customers per hour. Which system should the restaurant implement? e. The current facility limits the number of cars (customers) that can be in the drive-through to 5. More than 5 cars in line means customers have to wait on a public street, causing them to leave the restaurant.…b) A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operations when shipments are received: Operation A – draw a random sample, package, and deliver to testing; and Operation B – test the materials and issue a disposition report. There are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are given in the table below. Shipment Operation A (hours) Operation B (hours) A 1.5 1.0 В 1.1 2.7 1.2 1.4 D 0.7 1.6 E 1.6 1.5 F 1.9 2.9 Use Johnson's Rule to set the sequence of processing the shipments through Quality Control. i. ii. How much total time is required to process all the six shipments through Quality Control? Show all times on a Gantt Chart. w lu