What is the answer in this number 5? roctoring Enabled: Chapter 11 Queuing Models E..HelpSave & ESavedIn an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 customers per hour. If the serviceprocess is automated (resulting in no variation in service times but the same service rate), what will be the resulting performancemeasurements? (Round your answers to 3 decimal places.)a. What is the utilization?Utilizationb. What is the expected number of customers in the system (L)?Number of customersc. What is the expected waiting time (in hours) for the system (W?Waiting time(in hours)< Prev5 of 5NextMcGrawHill c. What is the expected waiting time (in hours) for the system (W?Waiting time(in hours)d. What is the expected number of customers in the queue (Lg)?Number of customers(queue)e. What is the expected waiting time (in hours) in the queue (Wa)?Waiting time(queue)5 of 5NextMcGrawHill< Prey

Given data Arrival rate λ = 4 customer per hour Service rate μ= 6 customer per hour

Answered: In an M/MA queueing system, the arrival…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 1C

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In a M/M/1 queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate). What will be the resulting performance measurements? (Round your ansers to 3 decimal places) a. What is the utilization? b. What is the expected number of customers in the system (L)? c. What is the expected waiting time (in hours) for the system (W)? d. What is the expected number of customers in the queue (Lq)? e. What is the expected waiting time (in hours) in the queue (Wq)?
Chapter 5. (M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called DataWish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each data unit for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (ρ) % Performance Measures P0 (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the system) weeks Wq (average time in the queue) weeks c. If we assign a cost of waiting as $400 per week per data unit and $800 per…
Describe two examples of unethical behavior related to waiting line management, and state whichethical principles they violate.CRITICAL THINKINGEXERCISES1. a. λ = 3 customers/hourμ = 5 customers/hourM = 1(1) What is the system utilization?(2) What is the average number of customers waiting for service?(3) What is the average time customers wait in line for service? b. Repair calls are handled by one repairman at a photocopy shop. Repair time, including traveltime, is exponentially distributed, with a mean of two hours per call. Requests for copier repairscome in at a mean rate of three per eight-hour day (assume Poisson). Determine:(1) The average number of customers awaiting repairs.(2) System utilization.(3) The amount of time during an eight-hour day that the repairman is not out on a call.(4) The probability of two or more customers in the system.c. An average of 18 customers arrive at a service center each hour. There are two servers on duty,and each server can process 12…
System service For a firm, what is the cost of keeping an employee waiting?Select one: a. Unproductive wages b. Required waiting space c. Loss of sales d. None e. Balking Empty time frequently makes customers feel _________.Select one: a. Powerless b. Well-rested c. Satisfied d. Invigurated e. Friendly Most services are characterized by an encounter between a service provider and a customer. What is this encounter called?Select one: a. None b. Moment of truth c. The golden moment d. The make-or-break moment e. Moment of encounter
41) Once a booking limit for a class reaches zero it remains there, at least until the next what is required A. Reoptimization B. Nesting C. Allotmont D. Revenue management
Chapter 5. (M/M/s/K Model). Leia is responsible for 12 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 4 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (ρ) % Performance Measures P0 (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the system) weeks Wq (average time in the queue) weeks c. If we assign a cost of waiting as $750 per week per computer and $800 per week of…
no handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…
OVERBOOKED: FRONT OFFICE PERSPECTIVE Overbooking is an accepted hotel and airline practice. Many questionthe practice from various standpoints, including ethical and moral.Industry executives, however, argue that there is nothing moreperishable than a vacant room. If it is not used, there is no chance toregain lost revenue. Hotels need to protect themselves becausepotential guests frequently make reservations at more than one hotelor are delayed and, therefore, do not show up. The percentage of no-shows varies by hotel and location but is often around five percent. In a 400-room hotel, that is 20 rooms, or an average loss ofapproximately $2,600 per night. Considering these figures, it is notsurprising that hotels try to protect themselves by overbooking.Hotels look carefully at bookings: Whom they are for, what rates theyare paying, when they were made, whether they are for regular guestsor from a major account (a corporation that uses the hotel frequently),and so on. Jill Reynolds,…
Angkut Deras Hauling Company has two long-trip cars rental servicesinclusive with a driver at Kota Kinabalu International Airport. The companyhas determine during the late-evening hours on weekend, customersrequest driver for cars rental at a rate that follows the Poisson distributionwith a mean of 0.8 per hour. Travel and assistance time is exponential witha mean of 1 request per hour. Find each of the performance measures ofthis waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company?b) Probability that both drivers will be busy when a customer request.c) The average number of customer waiting in line.d) The average time customers wait for a driver.e) What is the customers average waiting time on arrival?
In an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (round your answer to 3 decimal places) b. What is the expected number of customers in the system (L)? (round your answer to 3 decimal places) c. What is the expected waiting time in the system (W)? (express the waiting time in hours, round your answer to 3 decimal places) d. What is the expected number of customers in the queue (Lq)? (round your answer to 3 decimal places) e. What is the expected waiting time in the queue (Wq)? (express the waiting time in hours, round your answer to 3 decimal places)
Explain in what kind of situations is queuing analysis is most important under waiting line models ? It's from operations management domain don't sent it to other subjects plz !
5. A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes in

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