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Register a new userBranch and Bound Optimization Algorithm
اختيار الحل الأمثل باستخدام خوارزمية Branch and Bound
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Ali Ibrahim
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في المشكلة التي نعالجها, تحتاج شركة اتصالات إلى بناء مجموعة من الأبراج الخلوية لتوفير خدمة الاتصالات الخليوية للسكان في منطقة جغرافية. تم تحديد عدد من المواقع المحتملة لبناء الأبراج. يعتم اختيار هذه المواقع على عدة عوامل ، بما في ذلك مدى اتساق البرج مع البيئة المحيطة وارتفاع التضاريس, تتمتع الأبراج بمدى تغطية ثابت ، وبسبب قيود الميزانية ، لا يمكن بناء سوى عدد محدود منها . بالنظر إلى هذه القيود ، ترغب الشركة في توفير تغطية لأكبر قدر ممكن من السكان, والهدف هو اختيار في أي من المواقع المحتملة يجب أن تقوم الشركة ببناء الأبراج. إن المشكلة التي شرحناها يمكن نمذجتها لتصبح أحد أمثلة مشكلة 0/1 knapsack الشهيرة لذلك شرحنا في الحلقة مفهوم مشكلة 0/1 Knapsack والطرق المستخدمة في الحل, وتوسعنا في الشرح عن خوارزمية Branch and Bound كونها تعتبر أفضلها.
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References used
Knapsack problem- Wikipedia, the free encyclopedia. https://en.wikipedia.org/wiki/Knapsack_problem.
The Info List- Knapsack Problem.http://theinfolist.com/php/SummaryGet.php?FindGo=Knapsack%20Problem.
Hristakeva, Maya and DiptiSrestha. “Different Approaches to Solve the 0/1 Knapsack Problem”, MICS 2005 proceedings.www.micsymposium.org/mics_2005/papers/paper102.pdf.
Levitin, Anany. The Design and Analysis of Algorithms. New Jersey: Pearson Education Inc., 2003.
Branch and Bound- Wikipedia, the free encyclopedia. https://en.wikipedia.org/wiki/Branch_and_bound
A Study of Performance Analysis on Knapsack Problem, International Journal of Computer Applications (0975 – 8887) National Conference on “Recent Trends in Information Technology” (NCRTIT-2016). Pushpa S.K. Information Science Department BMS Institute of Technology Bangalore, India Mrunal T.V. Information Science Department BMS Institute of Technology Bangalore, India C. Suhas Information Science Department BMS Institute of Technology Bangalore, India
Branch and bound, Geeksforgeeks https://www.geeksforgeeks.org/branch-and-bound-set-2-implementation-of-01-knapsack/
A MIXED INTEGER LINEAR PROGRAMMING APPROACH FOR DEVELOPING SALARY ADMINISTRATION SYSTEMS, 12-2016 Taner Cokyasar University of Tennessee, Knoxville, [email protected]
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The Branch and Bound algorithms which are refereed to as B & B are
commonly used to solve NP - hard combinatorial optimization problems.
Although these algorithms were efficient, the size of problems which can solved
and proved the optimality of s
olution by these algorithms was limited, because
of the limitation of computers capabilities although of it’s highly development.
When the parallel programming 46
and Multiprocessors computers were appeared, the researcher thought to
use the capabilities of these techniques and machines to increase the size of
solved problems. Three main anomalies may occur when the parallelism is
used.
This research aimed to design a new model of Branch and Bound
algorithms in order to analyze the performance. This model based on a new
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each rules were computed and proved the ability to achieve it. Sufficient and
necessary condition anomalous are given regarding the predisposition for each
of the three classes of behavior.
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