1. Ten customers visit TimBuk2 Bakery from 8 a.m. to 10 a.m. The customers spend 10, 15, 20,11, 8, 12, 5, 18, 29, and 32 minutes in the bakery.A. What is the average flow time (in minutes) of a customer at this bakery?B. On average, how many customers are in the bakery from 8 a.m. to 10 a.m.?2. Arrivals and departures to Star Optometrist are collected and reported below:Patient12345Customers/TakeOrdersArrival7:458:00A. What is the average flow time of its patients in minutes?B. Assume Star Optometrist is open from 7:45 a.m. to noon. What is the flow rate of patientsin Star Optometrist per hour?10:0010:1510:35C. Assume Star Optometrist is open from 7:45 a.m. to noon. How many patients on averageare in Star Optometrist?3. SCM301 Warehouse takes orders from 7 a.m. to 7 p.m. The manager wants to analyze theprocess and has provided the following process flow diagram. There are three steps requiredto ship a customer order. The first step is to take the order from a customer. The second step isto pick the order for the customer, and then they have to pack the order to ready it for shipping.The order-taking step works at a maximum rate of 100 customer orders per hour. Order pickingworks at a maximum of 80 per hour, and packing works at 60 per hour.100 Customers/Departure8:459:0010:3011:4512:00CustomerOrders,PickOrdersPickedOrders/80 Customers/hour 01) vib-listhouriant avelPackOrders60 Customers/hourWait forShipperSCM301 Warehouse wants to figure out the following:A. What is the current maximum output of the process assuming that no one works overtime?(For your answers to these questions, assume that everyone can start working at 7 a.m.)B. How long will the picking and packing operations have to work if we have a day where theorder taker works at his maximum capacity all day?C. Given b, what is the maximum number of orders waiting to be picked?D. Given b, what is the maximum number of orders waiting to be packed?E. If we double the packing capacity (from 60 to 120 orders per hour), what impact does thishave on your answers in parts (b), (c), and (d)?

The average time that a unit expects to flow through the interaction from the section highlights the…

Answered: 1. Ten customers visit TimBuk2 Bakery…

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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What two things must be done to control queue and meet delivery commitments?
(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
3. At Mardot Restaurant, customers arrive at the rate of 1 every 15 seconds, how many customers do you expect in 2 hours? A. 486 B. 482 C. 480 D. 471
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Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 21 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 51 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
5. Eat well is a small drive through fast food restaurant, staffed by an efficient employee John, is located in a super mall area. Customers arrive at the counter at an average of one every 15 minutes, and the customer arrival follows a Poisson distribution. John takes at most 10 minutes to process each food order. a) What is average number of customer being served at any time? b) The expected number of customers waiting to be served. c) Compute the average time customer wait in the system. d) What percentage of time is John Idle?
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What insights can the conclusions of queuing analysis provide for a decision makers?

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1. Ten customers visit TimBuk2 Bakery from 8 a.m. to 10 a.m. The customers spend 10, 15, 20, 11, 8, 12, 5, 18, 29, and 32 minutes in the bakery. A. What is the average flow time (in minutes) of a customer at this bakery? B. On average, how many customers are in the bakery from 8 a.m. to 10 a.m.?