CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1supercomputer that can be accessed through the Internet. Their customers send jobs that arrive onaverage every 6 hours. The standard deviation of the interarrival times is 4 hours. Executing eachjob takes on average 3 hours on the supercomputer and the standard deviation of the processingtime is 4 hours.(Round your answer to 1 decimal place.)How long does a customer have to wait to have a job completed?hours

Given information: Number of servers (m) = 1Activity time (p) = 3 hoursStandard Deviation of…

Answered: How long does a customer have to wait…

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 27P

See similar textbooks

Similar questions

CPU-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 4 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 3.6 hours. On average, how long will it take to complete a job (from the time it is submitted by the customer until the time it is completed)?
CPU-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 5 hours. The standard deviation of the interarrival times is 5 hours. Executing each job takes on average 3 hours on the supercomputer and the standard deviation of the processing time is 4.5 hours. How long does a customer have to wait to have a job completed?
A small shoe manufacturer makes two styles of shoes: oxfords and loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 min per pair on the cutting machine. Oxfords require 10 min of sewing per pair, and loafers require 20 min of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours a day. Set up a system of linear inequalities that describes the number of pairs of each style of shoes that the manufacturer can produce within required working hours.
The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost per hour?
The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth $15/hour. The slow copier rents for $4/hr, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15/hr, and it takes an employee an average of 6 minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour? Please note this class revolves around Microsoft Excel so the answer I need needs to show the formulas in Excel, along with any corresponding graphs, etc. Thank you in advance!
An average of 100 customers arrive each hour at theGotham City Bank. The average service time for eachcustomer is 1 minute. Service times and interarrival timesare exponential. The manager wants to ensure that no morethan 1% of all customers will have to wait in line for morethan 5 minutes. If the bank follows the policy of having allcustomers join a single line, how many tellers must the bankhire?
A make-to-order system is well described as a basic Erlang system with a single machine. The manager of the system wants to ensure that the expected turnaround time of any order (from its placement until its shipment to the customer), in days, is T. If orders arrive at a rate λ per day, derive an expression that prescribes the machine’s capacity (µ) as a function of T and λ . (Capacity is defined as the number of orders the machine can handle per day.) What happens to the required capacity when T is decreased to 0?
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?
A server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minute
Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?
. For the MyMy1 queueing model, why do the following results hold? (Hint: Remember that 1ym is the meanservice time. Then think how long a typical arrival must wait in the system or in the queue.) a. W 5 (L 1 1)ym b. WQ 5 Lym
PepsiCo sells its soft drinks in approximately 400,000 retail establishments, such as supermarkets, discount stores, and convenience stores. Sales representatives call on each retail account weekly, which means each account is called on by a sales rep 52 times per year. The average length of a sales call is 75 minutes (or 1.25 hours). An average salesperson works 2,000 hours per year (50 weeks per year * 40 hours perweek), but each spends 10 hours a week on nonselling activities, such as administrative tasks and travel. How many salespeople does PepsiCo need?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

How long does a customer have to wait to have a job completed? hours