Answer to Question #82881 in Statistics and Probability for marlene

Question

c) Workers come to tool store room to receive special tools (required by them) for accomplishing a particular project assigned to them. The average time between two arrivals is 60 seconds and the arrivals are assumed to be Poisson distribution. The average service time (of the tool room attendant) is 40 seconds. Determine:
i. Average queue length
ii. Average length of non-empty queues
iii. Average number of workers in system including the worker being attended
iv. Mean waiting time of an arrival
v. Average waiting time of an arrival (worker) who waits, and
vi. The type of policy to be established. In other words, determine whether to go in for an additional store room attendant who will minimize the combined cost of attendant’s idle time and the cost of workers waiting time. Assume the charge of a skilled worker is Kshs. 4 per hour and that of tool store room attendant is Kshs. 0.75 per hour.

Answer 1

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