Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour
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Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer.
Calculate the utilization of cashiers and their capacity cushion during a peak hour?
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How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?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 eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. Calculate the percentage utilization of the graduate student. Note: Round your answer to 1 decimal place. Calculate the average number of students in the system, including the graduate student service desk. Note: Round your answer to the nearest whole number. Calculate the average time in the system. Note: Round your answer to the nearest whole number. Calculate the probability of four or more students being in line or being served. Note: Round your intermediate calculations to 3…At the Smalltown post office, patrons wait in a singleline for the first open window. An average of 100 patronsper hour enter the post office, and each window can servean average of 45 patrons per hour. The post office estimatesa cost of 10¢ for each minute a patron waits in line andbelieves that it costs $20 per hour to keep a window open.Interarrival times and service times are exponential.a To minimize the total expected hourly cost, howmany windows should be open?b If the post office’s goal is to ensure that at most 5%of all patrons will spend more than 5 minutes in line,how many windows should be open?
- The utilization of baggers is Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the first 7 hours of each workday (Monday-Friday), 6 cashiers and 2 baggers serve approximately 25 customers per hour. A cashier and a bagger who require approximately 6 minutes at checkout and 4 minutes at bagging serve each customer. a. The utilization of cashiers is 41.7%. (Enter your response rounded to one decimal place.) %. (Enter your response rounded to one decimal place.) v an example Part 2 of 3 Get more help. O Points: 0 of 3 Clear all Check answer ONetflix is a DVD movie rental company. They stock 50 DVDs of a recent blockbuster movie available for rental. Their rental fee is $4 per DVD per day. The inter-arrival time between rental requests for this movie is 2.5 hours, on average, with a standard deviation of 2.5 hours. Demand is steady throughout a 24-hour day (there is no evidence of other arrival patterns). Assume that if all copies of the DVD are rented, then customers are willing to wait for the next one to become available. Also, assume shipping is instantaneous (the shipping time is zero days). A DVD is rented, on average, for 5 days with a standard deviation of 3 days. What is the average number of unrented DVDs in Netflix’s warehouse? Hint: consider the average utilization.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?
- A supermarket is trying to decide how many cashregisters to keep open. Suppose an average of 18 customersarrive each hour, and the average checkout time for acustomer is 4 minutes. Interarrival times and service timesare exponential, and the system may be modeled as anM/M/s/GD/∞/∞ queuing system. It costs $20 per hour tooperate a cash register, and a cost of 25¢ is assessed foreach minute the customer spends in the cash register area.How many registers should the store open?Dimeco, Inc., a small manufacturer of punching die sets has four high speed machines. Because of the age of these machines, they need minor repairs after 30 hours of use. Analysis of previous breakdowns indicates that breakdowns follow a Poisson distribution. The facility employs one repairman specifically to repair these machines. Average repair time is two hours following an exponential distribution. What is the service factor for this system? What is the average number of these machines in service? What is the impact of adding a second repairman?The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air trafficcontroller to land planes. It takes an airplane 12 minutes to land and clear the runway. Planes arriveat the airport at the rate of four per hour. The FAA has a rule that an air traffic controller can, on average, land planes a maximum of 45 minutes out of every hour. There must be 15 minutes of idle time available to relieve the tension. Will this airport have to hire an extra air traffic controller?
- A crew of mechanics at the Transylvania Department of Motor Vehicles garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. Approximately how many vehicles are in the garage, waiting for or being repaired?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 eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS.a. Calculate the percentage utilization of the graduate student.b. Calculate the average number of students in the system, excluding the graduate student service.c. Calculate the average time in the system.d. Calculate the probability of four or more students being in line or being served.e. Before a test, the arrival of students increases to six per hour, on average. What will the new average line length be?The Seaboard Shipping Company has a warehouse terminalin Spartanburg, South Carolina. The capacity of each terminal dock is three trucks. As trucks enter the terminal, the drivers receive numbers, and when one of the three dock spacesbecomes available, the truck with the lowest number entersthe vacant dock. Truck arrivals are Poisson distributed, andthe unloading and loading times (service times) are exponentially distributed. The average arrival rate at the terminalis 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 considering adding extra employees and equipment to improvethe average service time per terminal dock to 25 minutes per truck. It would cost the company $18,000 peryear 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. Determine…