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During registration at Tech every quarter, students in the Department of Management must have their courses approved the departmental advisor. It takes the advisor an average of 4 minutes (exponentially distributed) to approve each schedt and students arrive at the advisor's office at the rate of 5 per hour (Poisson distributed). Compute L, Lq, W, Wą, and p. Lq W hr Wq hr

During registration at Tech every quarter, students in the Department of Management must have their courses approved the departmental advisor. It takes the advisor an average of 4 minutes (exponentially distributed) to approve each schedt and students arrive at the advisor's office at the rate of 5 per hour (Poisson distributed). Compute L, Lq, W, Wą, and p. Lq W hr Wq hr

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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During registration at Tech every quarter, students in the Department of Management must have their courses approved by the departmental advisor. It takes the advisor an average of 4 minutes (exponentially distributed) to approve each schedule, and students arrive at the advisor’s office at the rate of 5 per hour (Poisson distributed). Compute \( L \), \( L_q \), \( W \), \( W_q \), and \( \rho \). | Parameter | Value | |--------------|-------------| | \( L \) | [ ] | | \( L_q \) | [ ] | | \( W \) | [ ] hr | | \( W_q \) | [ ] hr | | \( \rho \) | [ ] | Explanation of Symbols: - \( L \): Average number of students in the system (in the advisor's office and waiting). - \( L_q \): Average number of students in the queue (waiting only). - \( W \): Average time a student spends in the system (in the advisor's office and waiting). - \( W_q \): Average time a student spends waiting. - \( \rho \): Utilization factor for the advisor. (Note: Placeholder values need to be computed based on queuing theory formulas considering the given exponential service time and Poisson arrival process.)
Transcribed Image Text:During registration at Tech every quarter, students in the Department of Management must have their courses approved by the departmental advisor. It takes the advisor an average of 4 minutes (exponentially distributed) to approve each schedule, and students arrive at the advisor’s office at the rate of 5 per hour (Poisson distributed). Compute \( L \), \( L_q \), \( W \), \( W_q \), and \( \rho \). | Parameter | Value | |--------------|-------------| | \( L \) | [ ] | | \( L_q \) | [ ] | | \( W \) | [ ] hr | | \( W_q \) | [ ] hr | | \( \rho \) | [ ] | Explanation of Symbols: - \( L \): Average number of students in the system (in the advisor's office and waiting). - \( L_q \): Average number of students in the queue (waiting only). - \( W \): Average time a student spends in the system (in the advisor's office and waiting). - \( W_q \): Average time a student spends waiting. - \( \rho \): Utilization factor for the advisor. (Note: Placeholder values need to be computed based on queuing theory formulas considering the given exponential service time and Poisson arrival process.)
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