Question
In: Statistics and Probability
You have been asked to analyze the queue for registrations for a popular MSOM seminar at...
You have been asked to analyze the queue for registrations for a popular MSOM seminar at a major national conference. Conference attendees arrive to register at the rate of 5 people every 15 minutes (Possisson distributed). It takes each host, any number of which can be hired directly through the conference at the cost of $17 per hour, 7 minutes to register a guest, following a negative exponential distrubution. The conference recognizes a waiting cost of $40 per hour per guest in line. A single waiting line is set up but can accommodate multiple servers.
a) What is the minimum number of hosts that could be hired for this system?
b) What is the optimal number of servers needed to minimize total costs?
c) Rounded to the nearest dollar, what is total cost for the system (including waiting and service costs) at the optimal number of servers i the registation desk is open for an 8 hours day?
d) At the optimal number of servers, what is the average time a guest would spend waiting to register?
Solutions
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orchestra answered 1 year agoRelated Solutions
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Data collected on the yearly registrations for a Six Sigma
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table:
Year
1
2
3
4
5
6
7
8
9
10
11
Registrations (000)
5.00
7.00
3.00
5.00
9.00
9.00
7.00
11.00
13.00
14.00
12.00
a. Calculate the forecasted registrations for years 2 through 12
using exponential smoothing, with a smoothing constant (α) of 0.40
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Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are...
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Year
1
2
3
4
5
6
7
8
9
10
11
Registrations (000)
4.00
5.00
4.00
4.00
9.00
9.00
6.00
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11.00
16.00
12.00
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Forecasting 1. Demand data collected on yearly registrations for a Six Sigma seminar at the Quality...
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a Six Sigma seminar at the Quality College are shown in the
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Year
1
2
3
4
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6
7
8
9
10
11
12
Registration
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6000
4000
5000
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7000
9000
12000
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