IND ENG 161 Study Guide - Midterm Guide: Airline Reservations System, Poisson Point Process, Markov Chain

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4: [15] an airline reservation system has 2 indistinguishable computers, of which only one can be used at any given time. A computer in use may break down on any given day with probability p (a computer not in use cannot break down). There is a single repair facility that takes 2 days to restore a computer to normal. The facility is such that it only begins repairs in the beginning of the day and it can only deal with one computer at a time. 0: [15] consider a poisson process with rate . Let s1 be the time of the rst arrival, s2 the time of the second arrival, s3 the time of the third arrival (etc). Explain your working: [15] men arrive according to a poisson process of rate = 3 (per hour) while women arrive according to a poisson process of rate = 5 (per hour). The arrival processes for men and women are independent.

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