Blue Lotus is a bike shop located near a beach resort, which rents its bikes toguests staying in the resort. When a customer requests to rent a bike and nobikes are available (they are either with another customers or being cleaned forrental), customer waits until a bike is available. Once a bike rented out to acustomer, the customer keeps it for an average of 1 day. Upon return, the bike iscleaned and tuned-up, which takes half a day (0.5 day).Suppose Blue Lotus has 7 bikes, and demand for bike rental is 4.1 per day. Whatis the average amount of time a customer waits to receive a bike?(Hint: From the perspective of customer waiting time, 0.5 day of cleaning time wouldbe part of the processing time" so, p = 1+0.5 =1.5 days. Assume CVa = CVp = 1 inyour calculations).O 1.197 daysO2.134 daysO 0.761 daysO 5.380 days

Queuing theory is one of the popular concepts of operations management that studies how queues…

Answered: Blue Lotus is a bike shop located near…

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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Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls to the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. What is the probability that there are more than 3 customers in the system
Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls to the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Skyline is considering adding a second clerk to take calls. The store would pay that person the same $20 per hour. e. What is the average time in the system (W)? f. What is the probability that a customer will have to wait for…

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