You are wondering what is the optimal number of servers to have to minimize the cost? Assume that the arrival rate is 12 perhour and the service rate is 10 per hour for each server. Your analysis has determined that servers are $30 per hour and thecost of customers waiting is $40 per hour.What is the server cost, wait cost and total cost per hour for 2 servers?What is the server cost, wait cost and total cost per hour for 3 servers?

Answered: hour and the service rate is 10 per…

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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Customer Interarrival | Service [Time of Time Number Time Arrival 22 74 22 89 105 3 21 34 4 26 38 5 80 23 6 81 26 7 78 90 20 26 32 37 10 13 88 11 28 38 12 18 73 13 29 93 14 19 25 15 20 93 16 23 17 78 37 18 20 51 19 109 28 20 78 85 You're given a table of ice-cream shop customers. 20 customers have arrived starting from 22. second of the opening. Interarrival times and service times are given in seconds.
The Y-ME central railroad station has 5 screening stations. At peak times, 175 customers arrive per hour. The average time to screen a passenger is 1.6 minutes. a. What is the rate per hour at which customers are screened? b. What is the average waiting time until beginning screening? They are concerned about the area where people line up and wait to begin screening. c. What is the average number of passengers waiting to begin screening? They want to reduce the average number of passengers in queue to fewer than 5. d. If they were able to reduce service time to 1.5 minutes, could they achieve the goal of fewer than 5 passengers waiting? Carry out to the necessary calculations to answer this question.
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
Savemore has 4 check-out counters. Prediction says that the duration of customer transaction is exponentially distributed with a mean of 4.9 minutes. In the peak hour, customer arrivals are exponentially distributed with a mean arrival rate of 17.3 customers/hr. Determine the probability that a customer will wait in a queue? Answer in four decimal places.
1
During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 6.7 cargo ships per week. The average time to unload a ship is 1.90 days. Multiple cranes to load and unload the ship operate five days a week. Do not round intermediate calculations. How many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ___ ship(s) During the pandemic, at times, demand doubled, how many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ___ ship(s) If demand remains at 6.7 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.10 days, how many ships are waiting? Round your answer up to the nearest whole number. ___ ship(s)
Provide examples of when a single-line, single-server,single-phase waiting line system is appropriate.
Decision makers may use the findings of queuing analysis to make decisions?
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
Fantastic styling salon is run by three stylists, each capable of serving five customers per hour, on average. If all customers wait in a common line for the next available stylist, how long would a customer wait in line, on average before being served
The time from when a patient is discharged from North Shore Hospital to the time the discharged patient’s bed is ready to be assigned to a new patient is referred to as the bed assignment turnaround time. If the bed turnaround time is excessive, it can cause problems with patient flow and delay medical procedures throughout the hospital. This can cause long waiting times for physicians and patients thus creating customer dissatisfaction. The admissions RN has assigned a patient care associate to measure the bed turnaround time for a randomly selected bed each morning., afternoon, and evening for 30 days. Following are the bed turnaround time sample observations: Day Day Bed Turnaround Times (min) 1 1 127 135 167 144 151 2 2 140 155 122 135 119 3 3 112 128 97 118 131 4 4 223 135 154 187 150 5 5 181 155 160 172 166 6 6 103 158 145 124 149 7 7 146 135 167 150 178 8 8 104 122 115 137 129 9 9 136 158 137 148 156 10 10 145 163 106 139 170 11 11 84 146 125 98…
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