You\'re the ticket manager for the Houston Astros and are using queuing theory t

Question

You're the ticket manager for the Houston Astros and are using queuing theory to determine how many ticket windows should be open for the first home game of the 2018 baseball season. Because of the World Series victory, you anticipate that customers will arrive at a rate of 144 fans per hour and each fan will take 1 minute to serve. The fans are still ecstatic over the World Series victory so they won't mind waiting in line too much but you estimate that it still costs approximately $45 per hour for each customer. Your ticket takers are paid $25 per hour per person CD FGH Determine the optimum number of ticket takers that minimize your total cost of providing this service. ti Number of

Explanation / Answer

The given function ia a joint pmf if it satisfy the following two conditions ,
1 )
2 )
Now,
1 ) Here , all probabilities are greater than 0 i.e. for all x and y
2 )
x=1 x=2 x=3 Total
y=1 0.15 0.10 0.05 0.30
y=2 0.02 0.10 0.05 0.17
y=3 0.02 0.03 0.20 0.25
y=4 0.01 0.02 0.25 0.28
Total 0.20 0.25 0.55 1.00
Therefore,
All the conditions are satisfied
Hence , the given function is a pmf

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.