Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 11PA
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To determine: The fraction of the time each of the programmers is busy coding.
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Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively.
Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C.
What is the system's capacity? What is the cycle time for each order through the entire process flow?
Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via its web page and Crunch bangs out the needed codeas quickly as possible. Camile has five programmers who do all of the coding. On average, a project arrives once every 4.8 hours. Each project is assigned to one programmer and that programmer takes, on average, 19.2 hours to complete each project. Camile wants to know what fraction of the time (as a percent) each of her programmers is busy coding?
A copier store has four pieces of automatic equipment, but sometimes they are down because they need supplies, maintenance or repair. Each unit requires about two services every hour or, to be exact, each piece of equipment runs an average of 30 minutes before needing service. Service times vary greatly, from a simple service (such as pressing the reset switch or replenishing the paper) to disassembling the equipment in question. However, the average service time is five minutes. The time the equipment is down generates a loss of $60 per hour. The single employee who services the equipment earns $18 per hour. Using finite population analysis, answer the following questions:
a. What is the average number of units idling?
b. What is the average number of units still operating?
c. What is the average number of units being serviced?
d. The company is considering adding another manager at the same wage of $18 per hour. should it do so?
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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?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_forwardCPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessed through the Internet. Their customers send jobs that arrive on average every 6 hours. The standard deviation of the interarrival times is 4 hours. Executing each job takes on average 3 hours on the supercomputer and the standard deviation of the processing time is 4 hours. (Round your answer to 1 decimal place.) How long does a customer have to wait to have a job completed? hoursarrow_forward
- Consider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 2 minutes. The number of servers is 4. What is the probability that all servers are busy?arrow_forwardCamile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their webpage and Crunch bangs out the needed code as quickly as possible. Camile has 5 programmers who do all of the coding. On average, a project arrives once every 4.4 hours. Each project is assigned to one programmer and that programmer takes on average 19.3 hours to complete each project. Camile wants to know what fraction (as a percent) of the time is each of her programmers busy coding? Round to nearest integer. %arrow_forwardIn most cases, if a firm increases its service capacity by 10 percent, it would expect waiting times to be reduced by what percentage? Assume customerarrivals and service times are random. An ice cream stand has a single window and one employee to serve customers. During their busy season, 30 customers arrive each hour, on average. It takes 1.5 minutes, on average, to serve a customer.What is the utilization of the employee? How long would customers have to wait in line, on average, at the ice cream shop discussed in question 7? Random service times can be modeled by this. A bank teller takes 2.4 minutes, on average, to serve a customer. What would be the hourly service rate used in the queuing formulas? There are three teller windows in the bank described in the prior question. On average, 60 customers per hour arrive at the bank. What will be the average number of customers in line at the bank?arrow_forward
- An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…arrow_forwardIn a furniture manufacturing facility, there is a drilling shop with semi-automated machines. For an operator, it takes 20 seconds for a worker to move from one machine to the other. To load a drilling job to the machines a worker spends 3 minutes. Once loaded machines finish the drilling job in 4 minutes. The worker spends 40 seconds to conduct a quality check for the finished parts. If two machines are allocated to a worker which of the following will be true? Machines will have idle time Neither machines nor the worker will have idle time The worker and the machines both will have idle time Worker will have idle timearrow_forwardA graphics reproduction firm has four units of equipment that are automatic but occasionally become inoperative because of the need for supplies, maintenance, or repair. Each unit requires service roughly twice each hour, or, more precisely, each unit of equipment runs an average of 30 minutes before needing service. Service times vary widely, ranging from a simple service (such as pressing a restart switch or repositioning paper) to more involved equipment disassembly. The average service time, however, is five minutes. Equipment downtime results in a loss of $20 per hour. The one equipment attendant is paid $6 per hour.Using finite queuing analysis, answer the following questions: a. What is the average number of units in line? b. What is the average number of units still in operation? c. What is the average number of units being serviced?d. The fi- rm is considering adding another attendant at the same $6 rate. Should the firm do it?arrow_forward
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