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Minggu, 21 Januari 2018

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In computer science, the sleeping barber problem is a classic inter-process communication and synchronization problem between multiple operating system processes. The problem is analogous to that of keeping a barber working when there are customers, resting when there are none, and doing so in an orderly manner.

The analogy is based upon a hypothetical barber shop with one barber. The barber has one barber chair and a waiting room with a number of chairs in it. When the barber finishes cutting a customer's hair, they dismiss the customer and go to the waiting room to see if there are other customers waiting. If there are, they bring one of them back to the chair and cut their hair. If there are no other customers waiting, they return to their chair and sleep in it.

Each customer, when they arrive, looks to see what the barber is doing. If the barber is sleeping, the customer wakes them up and sits in the chair. If the barber is cutting hair, the customer goes to the waiting room. If there is a free chair in the waiting room, the customer sits in it and waits their turn. If there is no free chair, the customer leaves.

Based on a naïve analysis, the above description should ensure that the shop functions correctly, with the barber cutting the hair of anyone who arrives until there are no more customers, and then sleeping until the next customer arrives. In practice, there are a number of problems that can occur that are illustrative of general scheduling problems.

The problems are all related to the fact that the actions by both the barber and the customer (checking the waiting room, entering the shop, taking a waiting room chair, etc.) all take an unknown amount of time. For example, a customer may arrive and observe that the barber is cutting hair, so he goes to the waiting room. While they're on their way, the barber finishes their current haircut and goes to check the waiting room. Since there is no one there (the customer not having arrived yet), they go back to their chair and sleep. The barber is now waiting for a customer, but the customer is waiting for the barber. In another example, two customers may arrive at the same time when there happens to be a single seat in the waiting room. They observe that the barber is cutting hair, go to the waiting room, and both attempt to occupy the single chair.

The Sleeping Barber Problem is often attributed to Edsger Dijkstra (1965), one of the pioneers in computer science.

Many possible solutions are available. The key element of each is a mutex, which ensures that only one of the participants can change state at once. The barber must acquire this mutual exclusion before checking for customers and release it when they begin either to sleep or cut hair. A customer must acquire it before entering the shop and release it once they are sitting in either a waiting room chair or the barber chair, and also when they leave the shop because no seats were available. This eliminates both of the problems mentioned in the previous section. A number of semaphores is also required to indicate the state of the system. For example, one might store the number of people in the waiting room.

A multiple sleeping barbers problem has the additional complexity of coordinating several barbers among the waiting customers.


Video Sleeping barber problem



Implementation

  • The following pseudocode guarantees synchronization between barber and customer and is deadlock free, but may lead to starvation of a customer. The problem of starvation can be solved by utilizing a queue where customers are added as they arrive, so that barber can serve them on a first come first served basis (FIFO => First In, First Out) The functions wait() and signal() are functions provided by the semaphores. In c-code notation, a wait() is a P() and a signal() is a V().

Maps Sleeping barber problem



See also

  • Producers-consumers problem
  • Dining philosophers problem
  • Cigarette smokers problem
  • Readers-writers problem

More Synchronisation Last time: bounded buffer, readers-writers ...
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References

  • Modern Operating Systems (2nd Edition) by Andrew S. Tanenbaum (ISBN 0-13-031358-0)
  • The Little Book of Semaphores by Allen B. Downey, http://greenteapress.com/semaphores
  • Cooperating sequential processes by E.W. Dijkstra. Technical Report EWD-123, 1965, Eindhoven University of Technology, The Netherlands.

Source of article : Wikipedia