Question
doing by excel and word document
The management of HyperPanda wanted to find out how many customers come to one of their branches in Dammam. One of the employees gathered the following data which represents number of customers arriving per hour. (Hint: It's a discrete distribution) Your task is to find what distribution does the data follow? Show the whole process (follow Chapter 9). You can use Chi-square as goodness of fit test. Use Excel for your calculations. Using the linear congruential method from Chapter 7, generate a sequence of random numbers using the following settings: a=17, c = 43, m= 127 Using initial seed of X0 = 27, create 10 random numbers Using initial seed of X0 = 15, create 10 random numbers A small grocery store currently has two cashiers with one queue for waiting customers. The inter-arrival time is 15 customers per hour and the service time is 10 customers per hour (both exponentially distributed). Now the grocery is going to through a layout change, the manager wants to find if it is better to have two separate queues; one for each cashier with the customers dividing equally between two queues. The performance measures he is interested hi are: server utilization, average queue length and waiting time per customer. Using the queuing models from Chapter 6, can you provide those answers for both scenarios?
Explanation / Answer
I can help youout with 3 question of queuing model:
Arrival rate,lamda=1/15
service rate,u=1/10
a)Service utilization= 8*lamda/u
=8*10/15
=5.33=service utilization
that means it remains idle for=8-5.33=2.66 hours
b)Average queue length= lamda/u*lamda/u-lamda
=0.66*2=1.33 customers
c)waiting time per customer= lamda/u*1/u-lamda
=0.66*30
=19.8 minutes
