The following build-up diagram tracks the number of customers for a single-serverqueueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day.The number of customers shown in the chart includes both those in service andwaiting in line.Build-up diagram# of Customers in system (in service + waiting)321010:00 10:0110:02 10:03 10:0410:0710:09We will call the customer who arrived the earliest during this time span the firstcustomer, the customer who arrived the second earliest the second customer, etc..The service discipline is first-come-first-served (FCFS).According to the diagram, how long did the second customer have to wait (inminutes) before he can enter service?

Answered: Image /qna-images/answer/a115f709-6ccb-422a-bc9f-11cd9a1350e1.jpg

Answered: The following build-up diagram tracks…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit…
(Please do not give solution in image format thanku) A single Automated Teller Machine (ATM) is located on the ground floor of a popular shopping mall. Service time at this machine is exponentially distributed. On average, the ATM machine can serve a customer in 3 minutes. Customer arrivals at the machine are Poisson distributed, with an average of 15 customers an hour. Relevant formulas to analyze this M/M/1 model are available in your textbook. What percent of the time is this machine idle? 25% 0% 75% 50% 100%
Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is six trucks per hour. Use the Single Server QueueExcel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)
The time from when a patient is discharged from North Shore Hospital to the time the discharged patient’s bed is ready to be assigned to a new patient is referred to as the bed assignment turnaround time. If the bed turnaround time is excessive, it can cause problems with patient flow and delay medical procedures throughout the hospital. This can cause long waiting times for physicians and patients thus creating customer dissatisfaction. The admissions RN has assigned a patient care associate to measure the bed turnaround time for a randomly selected bed each morning., afternoon, and evening for 30 days. Following are the bed turnaround time sample observations: Day Day Bed Turnaround Times (min) 1 1 127 135 167 144 151 2 2 140 155 122 135 119 3 3 112 128 97 118 131 4 4 223 135 154 187 150 5 5 181 155 160 172 166 6 6 103 158 145 124 149 7 7 146 135 167 150 178 8 8 104 122 115 137 129 9 9 136 158 137 148 156 10 10 145 163 106 139 170 11 11 84 146 125 98…
Many banks and post offices have switched from having a line at each teller or clerk to a single waiting line cordoned off by a set of ropes or chains. Examine this change by considering the following two cases: A. Case 1. Customers arrive at a bank at an average rate of 80 per hour and form a single line. There are five tellers, and the average service time is 3.0 minutes for each teller. Assuming exponential interarrival and service times, how long is the average wait in line? B. Case 2. Customers arrive at a teller's window at a rate of 16 per hour. There are five tellers so that the total arrival rate is 80 per hour. There is separate line at each window (with no switching between lines). As in Case 1, the average service time for each teller is 3.0 minutes. How long is the average wait in line? C. Comment on the results of Cases 1 and 2. What additional factors might affect waiting times in a real banking situation?
A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 6 customers per hour and an average service rate of 15 customers per hour. The average length of time customers will spend in the system is: O a. 2.667 minutes O b. 0.1111 minutes O c. 6.667 minutes O d. 0.04444 minutes
For a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table. Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1 Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00 7:02 6 2 7:08 7:12 4 3 7:11 7:16 1 4 7:13 7:19 5 5 7:18 7:25 10 6 7:36 7:39 2 7 7:40 7:44 3 8 7:45 7:48 3 9 7:49 7:52 4 10 7:55 7:57 3 Find the average service time and average delay time. Average Service Time= Average Delay Time=
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