Wait time in queue [on hold]
Need assistance. Please note this is not my field. Was trying to prove something to a friend. Thought about what better way to prove something than with a made up example and formulas used to solve it. Please help me with finding solutions to this problem. Feel free to adjust question. Again, this isn't my field and was using this to prove something. Please explain steps as well.
On a typical day there are $300$ calls which come into calling zone for assistance in a $7$ hour day. There are $20$ employees who take these calls. Typically caller calls in about every $3$ minutes.
I know from this example arrival rate is $43$ call/hr and inter arrival time is 1.3 min/call
Questions:
What is the average service time?
What is the percentage time an associate spends with caller throughout day?
What is the probability that a caller will call within thirteen minutes throughout the day.
What is the probability that $5$ callers will call within thirteen minutes.
Average wait time throughout day?
Average wait time plus time served for assistance throughout the day?
If there was a system that can help self serve those 20 calls what will be the average amount time spent on those callers and wait time? What is the percentage helping those callers?
real-analysis calculus algebra-precalculus probability-distributions exponentiation
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
Need assistance. Please note this is not my field. Was trying to prove something to a friend. Thought about what better way to prove something than with a made up example and formulas used to solve it. Please help me with finding solutions to this problem. Feel free to adjust question. Again, this isn't my field and was using this to prove something. Please explain steps as well.
On a typical day there are $300$ calls which come into calling zone for assistance in a $7$ hour day. There are $20$ employees who take these calls. Typically caller calls in about every $3$ minutes.
I know from this example arrival rate is $43$ call/hr and inter arrival time is 1.3 min/call
Questions:
What is the average service time?
What is the percentage time an associate spends with caller throughout day?
What is the probability that a caller will call within thirteen minutes throughout the day.
What is the probability that $5$ callers will call within thirteen minutes.
Average wait time throughout day?
Average wait time plus time served for assistance throughout the day?
If there was a system that can help self serve those 20 calls what will be the average amount time spent on those callers and wait time? What is the percentage helping those callers?
real-analysis calculus algebra-precalculus probability-distributions exponentiation
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
1
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago
add a comment |
Need assistance. Please note this is not my field. Was trying to prove something to a friend. Thought about what better way to prove something than with a made up example and formulas used to solve it. Please help me with finding solutions to this problem. Feel free to adjust question. Again, this isn't my field and was using this to prove something. Please explain steps as well.
On a typical day there are $300$ calls which come into calling zone for assistance in a $7$ hour day. There are $20$ employees who take these calls. Typically caller calls in about every $3$ minutes.
I know from this example arrival rate is $43$ call/hr and inter arrival time is 1.3 min/call
Questions:
What is the average service time?
What is the percentage time an associate spends with caller throughout day?
What is the probability that a caller will call within thirteen minutes throughout the day.
What is the probability that $5$ callers will call within thirteen minutes.
Average wait time throughout day?
Average wait time plus time served for assistance throughout the day?
If there was a system that can help self serve those 20 calls what will be the average amount time spent on those callers and wait time? What is the percentage helping those callers?
real-analysis calculus algebra-precalculus probability-distributions exponentiation
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Need assistance. Please note this is not my field. Was trying to prove something to a friend. Thought about what better way to prove something than with a made up example and formulas used to solve it. Please help me with finding solutions to this problem. Feel free to adjust question. Again, this isn't my field and was using this to prove something. Please explain steps as well.
On a typical day there are $300$ calls which come into calling zone for assistance in a $7$ hour day. There are $20$ employees who take these calls. Typically caller calls in about every $3$ minutes.
I know from this example arrival rate is $43$ call/hr and inter arrival time is 1.3 min/call
Questions:
What is the average service time?
What is the percentage time an associate spends with caller throughout day?
What is the probability that a caller will call within thirteen minutes throughout the day.
What is the probability that $5$ callers will call within thirteen minutes.
Average wait time throughout day?
Average wait time plus time served for assistance throughout the day?
If there was a system that can help self serve those 20 calls what will be the average amount time spent on those callers and wait time? What is the percentage helping those callers?
real-analysis calculus algebra-precalculus probability-distributions exponentiation
real-analysis calculus algebra-precalculus probability-distributions exponentiation
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
asked Dec 25 at 23:53
laycal
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 25 at 23:53
laycal
61
asked Dec 25 at 23:53
laycal
61
61
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
laycal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, KReiser, Math1000, Eevee Trainer, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
1
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago
add a comment |
1
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago
1
1
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago
add a comment |
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1
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
– José Carlos Santos
Dec 26 at 0:02
Since typically you get a call about every three minutes or about 20 per hour, you're getting about 140 calls per 7 hour day which is far short of the claimed 300,
– William Elliot
2 days ago