1. Imagine a very long bridge across the Mississippi River. A car will take upwards of 15 minutes to cross this bridge. Due to construction, the bridge has been reduced to a single lane that has to be shared by traffic in both directions. It is obviously not possible to allow traffic in both directions simultaneously, and so a special traffic control mechanism is installed with the following rules: • An arriving car will have to wait if the bridge is currently occupied by one or more cars moving in the opposite direction. • Multiple cars are allowed to cross the bridge in the same direction at the same time (one after another) • In order to avoid starvation, the entry of cars onto the bridge in one direction must be stopped after a batch of K cars has entered the bridge from one direction, to allow traffic moving in the opposite direction (if there are any cars waiting) • If there are no cars, the bridge is open in both directions, and the first arriving car will determine the direction of traffic. Viewing each car as a process that is traveling in either the West-East (WE) or East-West (EW) direction, develop a MONITOR that implements the rules listed above. Your MONITOR must use the monitor procedures Enter_WE(), Enter_EW(), Exit_WE(), Exit_EW() when a car enters and exits the bridge.
1. Imagine a very long bridge across the Mississippi River. A car will take upwards of 15 minutes to cross this bridge. Due to construction, the bridge has been reduced to a single lane that has to be shared by traffic in both directions. It is obviously not possible to allow traffic in both directions simultaneously, and so a special traffic control mechanism is installed with the following rules: • An arriving car will have to wait if the bridge is currently occupied by one or more cars moving in the opposite direction. • Multiple cars are allowed to cross the bridge in the same direction at the same time (one after another) • In order to avoid starvation, the entry of cars onto the bridge in one direction must be stopped after a batch of K cars has entered the bridge from one direction, to allow traffic moving in the opposite direction (if there are any cars waiting) • If there are no cars, the bridge is open in both directions, and the first arriving car will determine the direction of traffic. Viewing each car as a process that is traveling in either the West-East (WE) or East-West (EW) direction, develop a MONITOR that implements the rules listed above. Your MONITOR must use the monitor procedures Enter_WE(), Enter_EW(), Exit_WE(), Exit_EW() when a car enters and exits the bridge.
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.10: Quadratic Programming
Problem 7P
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