4114 Words Feb 18th, 2009 17 Pages

Exercise 4-1

People arrive at a newsstand at the rate of one every 10 ( 5 seconds. Most people buy only one paper but 20% buy two papers. It takes 5 ( 3 seconds to buy one paper and 7 ( 3 seconds to buy two papers. Simulate the sale of 100 papers, starting from the time the newsstand opens.

Exercise 4-2

A series of moving stairways carry customers in an upward direction between four floors of a department store. People arrive at the foot of the stairs, on the first floor, at the rate of one every second. Some people walk on the stairs. As a result, the time to transfer between successive floors is found to be 20 ( 10 seconds. The destinations of the customers are as follows: second floor,
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They are filled and dispatched as soon as they are ready. Delivery takes 40 ( 10 minutes. About one in every 50 containers is damaged beyond repair during delivery. The rest are returned, taking 40 ( 10 minutes, and are immediately reused for another delivery. Beginning from time zero, find how many containers will be in the process of delivery after 8 hours.

Exercise 4-8

A subway station has two entrances. Passengers arrive at entrance 1 at the rate of one every 10 ( 5 seconds, and they move along a corridor that takes 15 ( 5 seconds to walk. At entrance 2, passengers arrive at the rate of one every 5 ( 2 seconds and they walk along a corridor that takes 20 ( 8 seconds. The two streams of passengers merge to pass along a third corridor for 5 ( 3 seconds. At the end of that corridor, 60% of the passengers turn for the northbound platform, the rest turn for the southbound platform. Simulate the arrival of the first 100 passengers on the southbound platform, starting from an empty system.

Exercise 4-10

A north-to-south, two-way highway, crosses another two-way highway going east to west. A junction is made by a traffic circle in which all traffic moves to the right. The time to traverse each quarter circle is 10 ( 5 seconds. Assume that traffic arrives at the rate of one vehicle every 5 ( 2 seconds at each entrance to the circle. Assume also that approximately 25% of the traffic approaching each exit from the circle will

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