A firm has a single-channel service station with the followingempirical data available to its management.
i) The mean arround rate is 6.2 minutes
ii) The mean service time is 5.5 minutes
iii) The arrival and service time probability distributions are asfollows:
Arrivals (Minutes) Probability Service Time(Minutes) Probability
3-4 .05 3-4 .10
4-5 .20 4-5 .20
5-6 .35 5-6 .40
6-7 .25 6-7 .20
7-8 .10 7-8 .10
8-9 .05 8-9 .00
Total 1.00 1.00
The queuing process begins at 10:00 am proceeds for nearly 2hours. An arrival goes to the service facility immediately; if itis empty otherwise it will wait in a queue. The queue. The queuediscipline is first come first served. If the attendant's wages areK10,000 per hour and the customer's waiting time cost K11,000 perhour, would it be an economical proposition to engage secondattendant?
