LahLa Mub Delivery a logistics operator process the packages for shipment. The items arrive at the sorting area for loading onto the motorcycle. The arrival rate at the sorting area is at the rate of 50 per hour. A worker can sort at the rate of 1 per minute. How long must the average package wait until it gets sorted?

LahLa Mub Delivery a logistics operator process the packages for shipment. The items arrive at the sorting area for loading onto the motorcycle. The arrival rate at the sorting area is at the rate of 50 per hour. A worker can sort at the rate of 1 per minute. How long must the average package wait until it gets sorted?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

See similar textbooks

Similar questions

LahLa Mub Delivery the logistics operator for an Online store, customer orders, already packaged for shipment, arrive at the sorting area to be sorted for loading onto the motorcycle. The arrival rate at the sorting area is at the rate of 50 per hour. The workers sorts at the rate of 1 per minute. What is the utilization rate of the system?
LahLa Mub Delivery a logistics operator process the packages for shipment. The items arrive at the sorting area for loading onto the motorcycle. The arrival rate at the sorting area is at the rate of 50 per hour. A worker can sort at the rate of 1 per minute. What is the average number of packages in the sorting system?
LahLa Mub Delivery a logistics operator process the packages for shipment. The items arrive at the sorting area for loading onto the motorcycle. The arrival rate at the sorting area is at the rate of 50 per hour. A worker can sort at the rate of 1 per minute. What is the average number of packages waiting to be sorted?
The Pullman Mfg., Inc. three-station work cell illustrated in the figure below has two machines at station 1 in parallel. (The product needs to go through only one of the two machines before proceeding to station 2.) SEE PICTURE Answer C
Super Fun Industries manufactures four top-selling toys code-named A-148, B-356, B-457, and C-843. The following table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super Fun's manufacturing plant is open 12 hours a day, 5 days a week, and 8 hours on Saturday. b. If weekly demand for the four products are A-148=180 units, B-356=310 units, B-457=280 units, and C-843=300 units, which station is the bottleneck, and is it capable of producing all the toys demanded? The bottleneck for Super Fun Industries is ▼ Station 1 Station 2 Station 3 Station 4 , with a utilization of ______%. (Enter your response rounded to one decimal place.)
RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?
A production line at V. J. Sugumaran’s machineshop has three stations. The first station can process a unit in10 minutes. The second station has two identical machines,each of which can process a unit in 12 minutes. (Each unitonly needs to be processed on one of the two machines.) Thethird station can process a unit in 8 minutes. Which station isthe bottleneck station?
The site is scheduled to run from 8:00 am to 5:00 pm and has 9,000 citations today. You can start drawing vaccines into syringes at 7:00 a.m. subway. at a rate of 1000 per hour, and each vial provides six syringe draws, with each draw requiring 100 seconds. At 8:00 a.m. patients begin arriving at a rate of 1,250 per hour until noon, when the rate drops to 1,000 per hour for the rest of the day How many people do you need to take out syringes? If the lanes can keep up with the arrival rate, when will they run out of vaccine?
Cycle Time and Velocity, MCE Computador has a manufacturing plant in Des Moines that has the theoretical capability to produce 253,000 laptops per quarter but currently produces 75,900 units. The conversion cost per quarter is $9,108,000. There are 63,250 production hours available within the plant per quarter. In addition to the processing minutes per unit used, the production of the laptops uses 8 minutes of move time, 22 minutes of wait time, and 5 minutes of rework time. (All work is done by cell workers.) Required: 1. Compute the theoretical and actual velocities (per hour) and the theoretical and actual cycle times (minutes per unit produced). If required, round to one decimal place. Theoretical Actual Velocity fill in the blank 1 laptops per hour fill in the blank 2 laptops per hour Cycle time fill in the blank 3 minutes per laptop fill in the blank 4 minutes per laptop 2. Compute the ideal and actual amounts of conversion cost assigned per laptop. If required,…
I ONLY NEED NUMBER 4 LETTERS A-C 3. Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer. 4. Sharp Discounts Wholesale Club is considering consolidating its two service desks (see Problem 3) into one location, staffed by two clerks. The clerks will continue to work at the same individual speed of four minutes per customer. a. What is the probability of waiting in line? b. How many customers, on average, are waiting in line? c. How much time does a customer spend at the service desk (waiting plus service time)? d. Do you think the Sharp Discounts Wholesale Club should consolidate the service desks?
Panini, a popular sandwich shop, offers 3 types of sandwiches: grilled vegetables, grilled chicken, and pastrami. The table below provides demand data: Grilled Vegetables Grilled Chicken Pastrami Demand per hour 25 9 12 There are up to five steps in the process of making sandwiches listed below with activity times (if no activity time, then than step is not done for that sandwich). Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered. Step Grilled Vegetables(in minutes) Grilled Chicken(in minutes) Pastrami(in minutes) Cut bread 1 1 1 Grill 1.2 1.2 Slice meat 2 Toast 1.2 1.2 1.2 Wrap 0.8 0.8 0.8 Suppose Panini employs 1 worker at each step. a) Does Panini have enough capacity to fulfill the current demand for sandwiches? (b) What is the current capacity cushion for Panini? (as a %) c) If demand for Pastramis increase with the percentage indicated below, how much additional workers should Panini hire (if any), and where…
An M/M/4 system has an arrival rate of 15 customers per hour. Each server has a service rate of 7 customers per hour. What is the utilization factor for this system? (Round your answer to 3 decimal place.) If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)