Additional Algo 5-8 Flow-Dependent Processing Times Two types of student come to the career-services office for counseling. New students arrive at a rate of 8 students per hour and spend 6 minutes in registration and 13 minutes with an advisor. Returning students students arrive at a rate of 12 students per hour and spend 5 minutes in registration and 10 minutes with an advisor. The staff consists of 1 registration employee and 1 advisor. How many new students will be served each hour? Note: Round your answer to 1 decimal place. Number of new students per hour 1.0
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- 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. If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour, how many clerks can be justified on a cost basis? Select one: O a. 3 O b. 6 O c. 4 O d. 5State five examples where first in first out is not applicable in waiting line models ? It's operations subject question !!The ZU cafeteria serves on average 2000 customers a day during the lunch break (12:00-2:00 pm). It takes about 10 seconds to process a customer at the cashier. How many students on average wait in the queue (work in process)?
- 1. Terry runs a steak-burger shop near Winona, MN. Customers are waiting in a single waiting line served by a single kitchen (To simplify the matter, let’s assume that the order placement process is fast enough so that customers are being released at the same pace they arrive). The kitchen makes 18 burgers per hour. Recently, a highway is constructed near his burger shop so that the demand has increased substantially. Now he is looking at, on average, 4-minute inter-arrival time. His shop operates 8 hour a day. 1) About 1 in 4 customers will decide not to join the waiting line if they see the line has more than 4 people waiting. Each lost sales opportunity costs the business $20. Currently, how much is the total daily loss due to the long waiting line?18. All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening sta- tions available, and the facility manager must decide how many to have open at any par- ticular time. The service rate for processing passengers at each screening station is 3 passengers per minute. On Monday morning the arrival rate is 5.4 passengers per minute. Problems 535 Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. a. Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. b. Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two-screening-station system be able to meet the manager's goal? C. What is the average time required for a…Snip
- Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) what percentage time is Judy idle?Suppose i am going to build a digital model for all 4 different products coming to awarehouse. All products first move to a temporary waiting area and then to inspectionmachines. There are 4 inspection machines to process each product respectively. Afterinspection, all products must move to next station for scanning before they are finallytransported to 4 racks.Products arrives exponentially with an average of 12 seconds. Processing times of inspectionmachines ars exponentially distributed with an average 6 seconds. Scanning time is fixed 4seconds.Simulation time is 50000s, Queue capacity is 10000.Suppose i need to redesign this process. How would it be possible to improve this system.Maybe identify the bottleneck by output analysis and propose improvement solution byadding additional object(s) or new automated resource to the original model will be possible?Twelve customers arrive every hour (Poisson distributed) at Andy Johnson's food truck when it parks outside the Orlando Courthouse from 11-2 p.m. on weekdays. It takes Andy a mean time of 4 minutes to fill each order (following a negative exponential distribution). The Waiting La λ Line Table is provided below and also we know that W₁ = Table: Average Number of Customer in Waiting Line P .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .30 .55 60 .65 .70 .75 .80 .85 .90 .95 1.0 1.2 1.4 1.6 1.8 2.0 Poisson Arrivals, Exponential Service Times Number of Service Channels, M 2 3 4 1 .0111 .0264 .0500 .0833 .1285 .1884 .2666 .3681 .5000 .6722 3000 .6722 .9000 1.2071 1.6333 2.2500 3.2000 4.8166 8.1000 18.0500 .0008 .0020 .0039 .0069 .0110 .0166 .0239 .0333 .0449 0333 .0449 .0593 .0767 .0976 .1227 .1523 .1873 2285 .2767 .3333 .6748 1.3449 2.8444 7.6734 .0019 .0030 .0043 0030 .0043 .0061 .0084 .0112 .0147 .0189 0239 .0300 .0371 .0454 .0904 .1778 .3128 .5320 .8888 .0031 .0041 .0053 .0067 .0158 .0324…
- Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Paisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per bour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. iii) Prepare the total cost for this waiting line system.LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season and there are, on average, 1,650 skiers in the village. On average, skiers stay in LaVilla for 11 days. Instruction: Do not round your intermediate and round final answer to nearest integer. How many new skiers are arriving, on average, in LaVilla every day? skiersThe Universal Manufacturing Company produces a par-ticular product in an assembly-line operation. One of the machines on the line is a drill press that has a single as-sembly line feeding into it. A partially completed unit ar-rives at the press to be worked on every 8 minutes, on average, according to an exponential distribution. Themachine operator can process an average of 10 parts perhour (Poisson distributed). Determine the average numberof parts waiting to be worked on, the percentage of timethe operator is working, and the percentage of time themachine is idle.