Four doctors work in a hospital emergency room thathandles three types of patients. The time a doctor spends with each type of patient is exponentially distributed, witha mean of 15 minutes. Interarrival times for each customertype are exponential, with the average number of arrivalsper hour for each patient type being as follows: type 1, 3patients; type 2, 5 patients; type 3, 3 patients. Assume thattype 1 patients have the highest priority, and type 3 patientshave the lowest priority (no preemption is allowed). What isthe average length of time that each type of patient mustwait before seeing a doctor?
Four doctors work in a hospital emergency room thathandles three types of patients. The time a doctor spends with each type of patient is exponentially distributed, witha mean of 15 minutes. Interarrival times for each customertype are exponential, with the average number of arrivalsper hour for each patient type being as follows: type 1, 3patients; type 2, 5 patients; type 3, 3 patients. Assume thattype 1 patients have the highest priority, and type 3 patientshave the lowest priority (no preemption is allowed). What isthe average length of time that each type of patient mustwait before seeing a doctor?
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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Question
Four doctors work in a hospital emergency room that
handles three types of patients. The time a doctor spends
with each type of patient is exponentially distributed, with
a mean of 15 minutes. Interarrival times for each customer
type are exponential, with the average number of arrivals
per hour for each patient type being as follows: type 1, 3
patients; type 2, 5 patients; type 3, 3 patients. Assume that
type 1 patients have the highest priority, and type 3 patients
have the lowest priority (no preemption is allowed). What is
the average length of time that each type of patient must
wait before seeing a doctor?
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