Answered step by step
Verified Expert Solution
Question
1 Approved Answer
2. Pinsky and Karlin, Exercise 6.3.2. Patients arrive at a hospital emergency room according to a Poisson process of rate A. The patients are
2. Pinsky and Karlin, Exercise 6.3.2. Patients arrive at a hospital emergency room according to a Poisson process of rate A. The patients are treated by a single doctor on a first come, first served basis. The doctor treats patients more quickly when the number of patients waiting is higher. An industrial engineering time study suggests that the mean patient treatment time when there are k patients in the system is of the form mk = - a-. -B1, where a and B are constants with a > B > 0. Let N(t) be the number of patients in the system at time t (waiting and being treated). Argue that N(t) might be modeled as a birth and 1 .... death process with parameters = A for k = 0, 1,... and k = for k = 0, 1, . . .. mk State explicitly any necessary assumptions. >k k k+1'
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started