Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 15PA
Summary Introduction
To determine: The average waiting time before the customer start speaking to a representative.
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Mom and Pop own and operate the Fuzzy Belly Deli. On average, customers arrive at the deli every 6 minutes. Pop fulfills their orders one at a time. It takes him an average of 3 minutes to fulfill each order. Customers then proceed to the cash register, where Mom receives their payment. Mom loves to chat and is somewhat slow in operating the cash register, taking an average of 4 minutes to receive payment from each customer. Assume that customer interarrival times, as well as order fulfillment and payment times are exponentially distributed.
What is the throughput of the deli's operation?
What is the capacity of the deli's operation?
On average, how long does a customer spend at the deli from the time she arrives until her order is fulfilled by Pop?
Find a Doctor is a small startup that helps people find a physician who best meets their needs (location, insurance accepted, etc.). During a “slow” time for it, it has 8 staff members taking calls from customers. On average, one call arrives every 5 minutes (with a standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27.00 minutes). How long does one of their customers spend, on average, waiting on hold before he or she can start speaking to a representative?
Please build and simulate the following model in ARENA.In this model, car loan applications arrive at processing center approximately every 5 minutes. At this point, 1 of 5 loan officers will review the application to ensure that it is complete. This review step usually takes 15 minutes, but can be as short as 12 minutes or as long as 18 minutes. Applications are sent to an automatic processing machine where they are processed. This process can take from 0.5 to 1.5 hours to complete, but usually requires 1 hour. It is assumed that the automatic processor can process as many applications as needed.After processing, the results are reviewed by a loan officer who will write either an acceptance or rejection document. This task usually takes 7 minutes, but can require anywhere from 5 to 10 minutes to complete.At this point the loan application process is complete, and the acceptance or rejection document is sent to the customer.Run this simulation for one 8-hour day (5 replications).
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- True or False? The average number of customers in queue plus the number of servers equals the average number of customers in the system. The main cause of delay at Logan Airport was overbooking, and building a new runway solved the delay problem. If a company hopes to increase the capacity of a process, the company needs to try to shorten the process’s cycle time. Little’s Law only applies to an M/M/1 queue, which is a special case of a G/G/C queue. If a queuing system has deterministic arrival rate λ and service rate μ, and λ < μ, then Lq = 0 in this queue.arrow_forwardA hospital Emergency Room currently registers each patient first through an initial check-in process, where s/he is seen by a doctor at the check-in, and then exits the process, either with a prescription or with admission to the hospital. Currently, 50 people per hour arrive at the Emergency Room, 10 percent of who are admitted to the hospital. On average, 35 registered patients are waiting to see a doctor at any time during this process. The registration process takes, on average, 6 minutes per patient. Among patients who receive prescriptions, average time spent with a doctor is 10 minutes. Among those admitted to the hospital, average time of stay is 30 minutes. Steps 1, 3, and 5 have zero duration (triggers or decision points). On average, how many patients are waiting to be registered or in the registation process (step 1)? On average, how long does a patient spend in the ER? On average, how many patients are there in the ER? Assume the process to be stable; that is,…arrow_forwardConsider doctor’s office: Physician’s have 30 min appointment slots starting at 8 AM to 6 PM Physicians spend 90 min (1.5 hrs.) each day on electronic medical records and 30 min on claims processing/questions related to medical insurance Typically, physicians have 75 percent appointments booked in advance, which leads to frequent cancellations. One out of 6 patients do not show up Even though appointment slots are 30 min, physicians spend on average 23 minutes with patient. Out of those 23 min, say 5 min could be done by nurse How much of physician’s work is value addedarrow_forward
- The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?arrow_forwardBobby the Barber is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive on average every 30 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time?arrow_forwardBobby, another enterprising barber, is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive, on average, every 40 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time? Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.arrow_forward
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