Q. A grocery store operates a fleet of 8 trucks. The trucks arrive at random times throughout the day to be loaded with new deliveries. The arrival process can be modelled as a Poisson probability distribution. Each truck returns to the store twice per 8-hour day. Only one unloading dock is available also the unloading time per truck is an exponential random variable with a mean rate of 4 trucks per hour. Conclude the subsequent :

(a) Describe the queue utilizing the Kendall notation.

(b) The probability which no trucks are at the store.

(c) The average (or expected) number of trucks waiting to be loaded/unloaded.

(d) The hourly cost of the operation if the cost is $60/hour for each truck also $35 / hour for the dock.