The Lunch Counter at a Small Restaurant Has Difficulty Handling

question 79

Essay

The lunch counter at a small restaurant has difficulty handling the lunch business. Currently, there is only one cashier in a single-channel, single-phase system. The restaurant has collected information on the interarrival time, and service time distributions from past lunch hours. They are represented in the tables below. Use the following two-digit random numbers given below to simulate 10 customers through the checkout system. What is the average time in line, and average time in system? (Set first arrival time to the interarrival time generated by first random number.
Random numbers for interarrival times: 32, 73, 41, 38, 73, 01, 09, 64, 34, 44
Random numbers of service times: 84, 55, 25, 71, 34, 57, 50, 44, 95, 64

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Definitions:

Hemagglutinins

Proteins found on the surface of certain viruses, like influenza, that enable the virus to bind to and infect host cells.

Viral Surface

The exterior part of a virus particle that interacts with a host's cellular mechanisms, often through specific proteins or receptors.

Host Cell

A living cell in which a virus or parasite invades and multiplies, often causing harm to the host.

Sirenians

Aquatic, herbivorous mammals that include species such as manatees and dugongs, known for their slow-moving nature and paddle-like flippers.