Please do fast ASAP operations research questionplease answer showing how you solvedA district is served by Taxi company. The company owns 4 Toxis, colls arrive to the company'sdispatching office ot the rate of 16 per hour. The average time per ride is 10 minutes. Callsarrive according to a Poisson distribution, and the ride tine is exponential.5.If Po D.06, Then the averoge number of colls woiting to be served by any available taxiis:Oo Less thoan or equal to 05ObGreater than 0.5 and less than or equal to 075OC. Greater than 075 and less than or equal to 1.00Od. Greatet than 1.00

Given. Number of channels or taxis, k= 4 Arrival rate, λ =16 per hour= 0.26 calls per minute It…

Answered: A district is served by Taxi company.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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4.) The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. a.) What percentage of the total available service time is being used? b.) Due to Covid restrictions, only two customers are allowed in the office at the same time. What percent of the time will there be customers waiting outside?
How did you calculate density in %
Please do not give solution in image formate thanku During the early morning hours, customers arrive at a branch post office at an average rate of 57 per hour (Poisson), while clerks can provide services at a rate of 19 per hour. If clerk cost is $50.14 per hour and customer waiting time represents a cost of $46 per hour, how many clerks can be justified on a cost basis a. 8 b. 4 c. 7 d. 6 e. 5
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…
5.18. The Wearever Shoe Company is going to open a new branch at a mall, and company managers are attempting to determine how many salespeople to hire. Based on an analysis of mall traffic, the company estimates that customers will arrive at the store at the rate of nine per hour (Poisson distributed), and from past experience at its other branches, the company knows that salespeople can serve an average of six customers per hour (Poisson distributed). How many salespeo- ple should the company hire in order to maintain a company policy that on average a customer should have to wait for service no more than 30% of the time?
COMPARISION AMONG DIFFERENT QUEUING SYSTEMS. I NEED HELP WITH PART G,H,I,J &K.
5)A company that operates fast food hamburger restaurant is evaluating the service at its facility. The customers have been observed to arrive at the drive-through window according at an average rate of 30 customers per hour. The restaurant believes the arrival rate conforms to a Poisson distribution. Evaluating the current service rate, the restaurant calculates that the drive-through is capable of processing 40 customers per hour. d. A vendor of specialized drive-through systems has 3 installations available. System A promises a service rate of 60 customers per hour, system B is more expensive but can process 75 customers per hour and system C requires a sizable investment and will be capable of processing 90 customers per hour. Which system should the restaurant implement? e. The current facility limits the number of cars (customers) that can be in the drive-through to 5. More than 5 cars in line means customers have to wait on a public street, causing them to leave the restaurant.…
7. The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?b. An employee has proposed adding new equipment that would speed up the loading rate to 6trucks per day. The equipment would cost $100 per day for each dock. Should the managerinvest in the new equipment?
11 The director of an emergency room, Simran Kaur, hasobserved that patient traffic at the emergency roomfollows a seasonal pattern, with higher patient trafficon weekends that on weekdays. She has gathered thefollowing data on daily patient admissions during the past4 weeks.Day Week 1 2 3 4Monday 110 105 109 112Tuesday 95 100 92 88Wednesday 89 85 80 84Thursday 93 96 78…
Problem 15-33 (Algorithmic) Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.04 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.4 machines per hour. a. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. Po- La - L w Wq- W- 4 b. Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. Po- Lo - L-> Wa- hours hours W- hours hours c. Each employee is paid $30 per hour. Machine downtime is valued at $85 per hour. From an economic point of view, should one or two employees handle the machine…
Pls solve this question correctly in 10 min i will give u thumsup 1. Which of the following statements are true about for the M/D/3 queuing system? Arrival rate is Poison distributed. I- Service time is Exponentially distributed. Ill- Inter-arrival is Exponentially distributed. 1v- There are 3 servers, 2. 5. What is the optimal solution for max Z=×+2y, st., x+ y less than or equal tpo 40, 2x + 4y less thsn or equal to 60, x, y greater than or equal to 0? A) Unique optimal solution, Z° = 30 B) Alternate optimal solutions, z = 30 C) Unique optimal solution, Z*= 40 D) infeasible solution
why queuing theory is so important and conclusion of overall topic

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