Based on the following Jackson network, determine what is the average waiting time for Node C at any point in time in hour units (Round up to three decimal points, no need to express units). ITA ~ expo(3) min 60% A B C STA ~ expo(1.5) min STB ~ expo(2) min STC ~ expo(2) min 40% D - STD expo(6) min
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- During nearly four decades of business operations, Memphis-based FedEx has earned a reputation for reliable, on-time delivery of packages to homes and offices around the country. Founder Fred Smith originally focused on overnight deliveries, choosing Memphis as the company’s headquarters because the airport rarely closes due to bad weather. With FedEx’s planes departing and arriving on schedule nearly all the time, its express shipments usually remained on schedule, then and now. To reassure customers that delivery will take place when and where promised, the firm offers a money-back guarantee on time-sensitive express shipments, among other services. FedEx has steadily expanded its portfolio of services since the 1970s. Its original overnight express delivery is currently available to U.S. customers in various forms, including “first-overnight” delivery, next-morning delivery, next-afternoon delivery, and budget-pleasing two- or three-day delivery. The company’s services also include cost-effective ground delivery for parcels and extra-speedy same-day delivery for urgent deliveries within 1,800 cities. Over the years, FedEx has widened its delivery network to more than 220 countries. It has purchased more cargo jets and acquired specialized shipping firms, including Tiger International, Roberts Express, RPS, and TNT Express, to support global growth. For international business customers needing products, parts, or raw materials shipped across countries or continents, the company now offers time-saving services such as commercial freight forwarding and cross-border logistical support. To add the convenience of local drop-off and pickup points for U.S. consumers and small businesses, FedEx acquired the Kinko’s office services company in 2004 and later rebranded it as FedEx Office. This acquisition also added printing and copying to the menu of services offered. Then the company arranged for large U.S. retailers such as Walgreens, Albertsons, Kroger, and Safeway to accept packages for shipment and receive package delivery for customer pickup in thousands of store locations. This means people who want to send a package can head to a nearby retailer and ship where they shop, rather than making a separate trip to the FedEx location. It’s also a safe alternative for packages to be picked up by people who don’t want FedEx shipments left by the front door. Another service FedEx offers to small and mid-sized businesses, including retailers, is FedEx Fulfillment. The purpose is to expedite order fulfillment by having each business store its products in a FedEx warehouse. Then, when the business’s customers place orders, FedEx puts the products into boxes bearing the business’s own logo and ships directly to those customers. The business doesn’t need a separate warehouse or staff for fulfillment, and packages are on their way to customers more quickly because the products were in FedEx’s warehouse, ready to be packed and shipped. This service puts FedEx into direct competition with Amazon.com, which offers a similar service to merchants that sell through the online Amazon Marketplace. But it also gives businesses that don’t sell via Amazon a fast and professional fulfillment alternative. FedEx is careful to let customers know, through media and social-media announcements, when it anticipates that extreme weather or other conditions will cause delays or force it to halt pickups and deliveries. For the duration of Hurricane Irma, for example, FedEx said it would suspend deliveries in Florida. Some Florida customers who had ordered generators to be delivered via FedEx were unhappy, because they worried about being without power during and after the storm. But one FedEx employee loaded several generator orders into his car and took them to customers himself. When a customer posted a grateful compliment to FedEx on Facebook, the message generated thousands of likes, shares, and positive comments. The company also received positive comments for its donations of cash and transportation services to areas devastated by Hurricanes Irma, Harvey, and Maria. According to the American Customer Satisfaction Index (ACSI), FedEx often tops the list of U.S. shipping companies as ranked by customers surveyed. Every day, the company delivers 13 million packages—and during the busy year-end holiday season, it delivers many more. By meeting customers’ expectations for on-time deliveries, FedEx has increased annual revenues beyond $60 billion and positioned itself for continued growth in the future. How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?Suggest 3- 4 ways to reduce queue waiting times in restaurant during covid 19Refer to the following information and output. Number of Servers Arrival Rate Service Rate P(0), probability that there are no customers in the system Lq, average length of the queue W, average time in the system L, average number of customers in the system Wq, average time in the queue Utilization factor of the system What is the average number of customers in the queue? O 2.33 O .23 O .70 O 1.63 1.0 7.00 10.00 30% 1.63 0.33 2.33 0.23 70%
- Pls solve this question correctly in 10 min i will give u thumsup 1. Which of the following statements are true about for the M/D/3 queuing system? Arrival rate is Poison distributed. I- Service time is Exponentially distributed. Ill- Inter-arrival is Exponentially distributed. 1v- There are 3 servers, 2. 5. What is the optimal solution for max Z=×+2y, st., x+ y less than or equal tpo 40, 2x + 4y less thsn or equal to 60, x, y greater than or equal to 0? A) Unique optimal solution, Z° = 30 B) Alternate optimal solutions, z = 30 C) Unique optimal solution, Z*= 40 D) infeasible solution1 What can you say about a queue that is E_k/ M/3/PR/200/∞d. What is the expected number of customers in the queue (Lg)? Number of customers(queue) e. What is the expected waiting time (in hours) in the queue (Wg)? Waiting time(queue)
- A study-aid desk staffed by a graduate student has been established to answer students’questions and help in working problems in your OSCM course. The desk is staffed eighthours per day. The dean wants to know how the facility is working. Statistics show thatstudents arrive at a rate of four per hour and the distribution is approximately Poisson.Assistance time averages 10 minutes, distributed exponentially. Assume population andline length can be ini nite and queue discipline is FCFS.Before a test, the arrival of students increases to six per hour on the average. What willthe new average line length be?The Seaboard Shipping Company has a warehouse terminal in Spartanburg, South Carolina. The capacity of each termi-nal dock is three trucks. As trucks enter the terminal, the dri-vers receive numbers, and when one of the three dock spaces becomes available, the truck with the lowest number entersthe vacant dock. Truck arrivals are Poisson distributed, and the unloading and loading times (service times) are expo-nentially distributed. The average arrival rate at the terminal is five trucks per hour, and the average service rate per dockis two trucks per hour (30 minutes per truck).a. Compute L, Lq, W, and Wq. b. The management of the shipping company is consider-ing adding extra employees and equipment to improve the average service time per terminal dock to 25 min-utes per truck. It would cost the company $18,000 per year to achieve this improved service. Managementestimates that it will increase its profit by $750 per yearfor each minute it is able to reduce a truck’s waitingtime.…Given the following data at the drive-through of a bank, what is the interarrival time between the first and second customers? TITIT Customer Arrival Time Service Time (minutes) 8:06 8:10 10 8:15 7 4 8:25 2. 10 minutes O S minutes O 4 minutes O 20 minutes
- DEMU 2103, va assignmen QUESTION 3 Metropolitan General Hospital is a city-owned and operated public hospital. Its emergency. room is the largest and most prominent in the city. Approximately 70% of emergency cases in the city come or are sent to Metro General's emergency room. As a result, the emergency room is often crowded and the staff is overworked, causing concern among hospital administrators and city officials about the quality of service and health care the emergency room is able to provide. One of the key quality attributes administrators focus on is patient waiting time that is, the time between when a patient checks in and registers and when the patient first sees an appropriate medical staff member. Hospital administration wants to monitor patient waiting time using statistical process control charts. At different times of the day over a period of several days, patient waiting times were recorded at random with the following results: Sample 1 2 3 4 5 6 7 8 9 10 1 27 22 16…no 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…