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 diagram321# of Customers in system (in service + waiting)010:00 10:01 10:02 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, what is the service time of the first customer in minutes?

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Answered: The following build-up diagram tracks…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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The following build-up diagram tracks the number of customers for a single-server queueing 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 and waiting in line. Build-up diagram # of Customers in system (in service + waiting) 3 2 1 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, 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 (in minutes) before he can enter service?
The average waiting time of customers over 10 replications obtained from a termination simulation model is shown below Replication / Average waiting time 1 / 3.90 2 / 1.18 3 / 4.88 4 / 4.21 5 / 1.83 6 / 3.77 7 / 1.7 8 / 2.92 9 / 2.39 10 / 2.70 Use alpha = 0.05 for following questions, if needed a) what is the minimum number of sample size required, if the error criterion is 0.75?
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
The task I am struggling with: Consider the baggage check-in of a small airline. Check-in data indicate that from 9 a.m. to 10 a.m. 255 passengers checked in. Moreover based on counting the number of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 35. How long did the average passenger have to wait in line? Thank you very much for your help.
Given information: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screen each passenger that arrives at the security gate. During the day, a passenger arrives at the gate on average every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based on this information and the assumption that only one screening line is open at the security gate, answers the following questions. Round calculations to at least 3 decimal places. Note: Round each calculation to at least 3 decimal places. Arrival time =60/1.3=46.153 Server Rate =60/1.15=52.174 L=expected number of passengers in queue =6.780 waiting time in queue =.1469 time spent screening=.1660 please answer the 2 foloowing questions What is percent of the time does the typical TSA agent spend actively screening passengers? Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is…
Seattle's Top Coffee owns and operates a chain of popular coffee stands that serve over 30 different coffee-based beverages. The constraint at the coffee stands is the amount of time required to fill an order, which can be considerable for the more complex beverages. Sales are often lost because customers leave after seeing a long waiting line to place an order. Careful analysis of the company's existing products has revealed that the opportunity cost of order filling time is $2.70 per minute. The company is considering introducing a new product, praline cappuccino, to be made with pecan extract and molasses. The variable cost of the standard size praline cappuccino would be $0.30 and the time required to fill an order for the beverage would be 40 seconds Required: What is the minimum acceptable selling price for the new praline cappuccino product?
A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. 1. What is the utilization of the barber? 2. What is the CVa? 3. What is the CVp?
Bayside General Hospital is trying to streamline its operations. A problem-solving group consisting of a nurse, a technician, a doctor, an administrator, and a patient is examining outpatient procedures in an effort to speed up the process and make it more cost-effective. Listed here are the steps that a typical patient follows for diagnostic imaging: Patient enters main hospital entrance Patient takes a number and waits to be called to registration desk Patient registers Patient is taken to diagnostic imaging department Patient registers at diagnostic imaging reception Patient sits in department waiting area until dressing area clears Patient changes in dressing area Patient waits in dressing area Patient is taken to exam room Exam is performed Patient is taken to dressing area Patient dresses Patient leaves Create a service blueprint of the procedure and identify opportunities for improvement. Describe what elements of a servicescape would make this…
Consider the order delivery system of Heartha Hardware and Construction Supplies:- Customers (whether by bulk or retail) would line up in a counter where sales representatives will entertain them. It would take about 15 minutes before a customer will be entertained due to the number of customers being served by the sales representative and only about 4 sales representatives are on duty every day.- The sales representative will take down the customer’s order in the order slip with corresponding prices. On some cases, she will ask the person in-charge in the warehouse if the items are available. She then forwards the order slip to the cashier.- The cashier would sum-up again manually the order slip from the sales representative to check the accuracy of the footing of the totals as well as the prices indicated. This would take about 10 minutes, depending on the bulk of the order being placed.- The official receipt will be printed and will be given to the…
given the following: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
12-15 The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. The storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours…
4. CWD Business systems maintains a successful Telecom sales department for Top up call credit in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the department are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer time spent waiting for the clerk to take an order. Part B CWD is considering adding a second clerk to take calls. The store would pay that person the same $15 per hour. Using appropriate formula for the multiple channel model, answer the following questions: a. What is the probability that no…

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