Below are the data of the gasoline station. Number of gas pumps = 1 Policy of the gasoline station is "If you want to wait, pay PhP45 per liter; if you do't want to wait, pay PhP55/liter." Service mean time (exponential distribution) = 5 minutes Arrival rate (Poisson distribution) = 10 per hour. Customers usually wait to buy gasoline. a) What is the probability (in decimal) that customer will wait? Answer in 4 decimal places. b) Determine the probability that the customer will not wait. Answer in 4 decimal places. c) How many customers are falling in line? Answer in integer value. d) Determine the expected price of gasoline per liter.

Give and explain briefly that in what kinds of situations is queuing analysis is most appropriate.

A waiting-line system that meets the assumptions of M/M/S has λ = 5, μ = 4, and M = 2. For these values, Po is approximately 0.23077, and Ls is approximately 2.05128. What is the average time a unit spends in this system? Select one: a. approximately 0.8013 b. approximately 0.4103 c. Cannot be calculated because λ is larger than μ. d. approximately 0.2083 e. approximately 0.1603

Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank

Please do not give solution in image format thanku Average Arrival Rate (Ri) 20 Customers/Hr Arrival Standard Deviation is 2 customers/hr Average Processing Time 12 minutes Process Time Standard Deviation 3 minutes 5 Servers 1) What is Server Utilization? 2) Average Queue Length?

Describe the important operating characteristics of a queuing system. Be sure to provide examples to illustrate your understanding of these concepts.