i need the answers please asap Norfolk, Virginia, a major seaport on the East Coast, has a ship coal-loading facility. Currently, coal trucks filled with coal arrive at theport facility at the mean rate of 142 per day (Poisson distributed). The facility operates 24 hours a day. The coal trucks are unloadedone at a time on a first-come, first-served basis by automated mechanical equipment that empties the trucks in a constant time of 8minutes per truck, regardless of truck size. The port authority is negotiating with a coal company for an additional 30 trucks per day.However, the coal company will not use this port facility unless the port authority can assure them that their coal trucks will not haveto wait to be unloaded at the port facility for more than 12 hours per truck on the average.HLaWa/daytrucks (Round answer to 3 decimal places, e.g. 25.750.)hr(Round answer to O decimal places, e.g. 100.)Can the port authority provide this assurance?(Round answer to 2 decimal places, e.g. 15.25.)

From the above given information, Arrival rate, λ =142 per day It takes 8 minutes per truck to serve…

Answered: Norfolk, Virginia, a major seaport on…

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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. Cranston Cranberry Cooperative (CCC) processes cranberries that are harvested in thelocal area. Barrels of cranberries arrive on trucks to CCC’s facility at a rate of 150barrels per hour and are processed continuously at a rate of 100 barrels per hour.Trucks arrive at a uniform rate over eight hours, from 6:00 a.m. until 2:00 p.m.How long does a truck wait, on average, before it is processed?
Plesase use Single Server Model and Multiple Server Model to solve this question. Drivers working for a large transportation company must get their vehicles checked from the company’s workshop after every 3,000 km. For this service, the average vehicle arrival rate at the workshop is 3.5 vehicles per hour (Poisson distributed). Currently there is only one mechanic serving a vehicle in 15 minutes on average and being paid $30 per hour. For every hour a vehicle is not working, the company loses $35. The company has an option to hire more mechanics. What is the most cost-efficient workshop staffing for this service? (Please also give the details for L and M.)

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