Trucks arrive at a loading dock in a Poisson manner at the rate of 3.5 per day. The cost of waiting per truck per day is $320. A two-person crew that can load at a constant rate of four trucks per day costs $440 per day. Compute the total system cost for this operation.
Trucks arrive at a loading dock in a Poisson manner at the rate of 3.5 per day.
Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. a. Would...
Trucks arrive at a loading/unloading station according to a Poisson process with a rate of 2 trucks per hour. Determine the probability that at least 3 trucks will arrive at the station in the next 30 minutes, A. 0.86 B. 0.59 C. 0.13 D. 0.81 E. 0.08
The Europa Company has a large warehouse in Florida to store its inventory of goods until they are needed by the company’s many furniture stores in that area. A single crew with four members is used to unload and/or load each truck that arrives at the loading dock of the warehouse. Management currently is downsizing to cut costs, so a decision needs to be made about the future size of this crew. Trucks arrive randomly at the loading dock at...
the pre 5.22, The Seaboard Shipping Company has a warehouse terminal in ta Spartanburg, South Carolina. The capacity of each terminal dock is three trucks. As trucks enter the terminal, the drivers receive num- bers, and when one of the three dock spaces becomes available, the truck with the lowest number enters the vacant dock. Truck arrivals are Poisson distributed, and the unloading and loading times (service th of d times) are exponentially distributed. The average arrival rate at the...
Peoblem 110 saiato If a warehouse receive 40 trucks per day (each truck carries 36 pallets-loads). Using an standard time of 5 minutes for loading/unloading a pallet-load, what is the minimum number of docks required. Peoblem 110 saiato If a warehouse receive 40 trucks per day (each truck carries 36 pallets-loads). Using an standard time of 5 minutes for loading/unloading a pallet-load, what is the minimum number of docks required.
uct B, 50 units per day; and product C, 60 units per day. What is the bottleneck? What is the flow rate for each flow unit assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? (Cranberries) International Cranberry Uncooperative (ICU) is a competitor to the Na- tional Cranberry Cooperative (NCC). At ICU, barrels of cranberries arrive on trucks at a...
Consider a system with Poisson distributed arrival rate with average of 10 clients per day. The service time is exponentially distributed with 8 clients per day. If the cost for operating each server is $20 per day and the cost of holding a client in the system is $200 per day. What is the total cost of operating with 5 servers?
Star Car Wash estimates that dirty cars arrive at the rate of 15 per hour all day and at the wash line, the cars can be cleaned at the rate of one every 4 minutes. One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the: (a) average time a car spends in the service system. (b) average number of cars in line. (c) average time a...
1- (20 pts) Office Depot is open from 7:00 AM to 6:00 PM and it receives 200 calls per day for delivery orders. It costs Office Depot $25 to send out its trucks to make deliveries. The company estimates that each minute a customer spends waiting for an order costs Office Depot S0.20 in lost sales. 1- How frequently should Office Depot send out its delivery trucks each day? 2- Indicate the total daily cost of deliveries. 3- If a...
Customers arrive at the coffee shop in Bilkent FBA atrium, with a mean rate of 80 per hour (assume Poisson). It takes the barista, on average 30 seconds per cup of coffee (assume Exponential). Assume also that each customer buys only one cup. Determine: (a) The average number of customers waiting in line. (b) The average time customers spend in the system. (c) The average number of customers in the system. (d) The probability that a customer will not have...