Randomized Algorithm For 3-Set Splitting Problem and it's Markovian Model

نویسندگان

  • Ali Golshani Department of Algorithms and Computation, University of Tehran
  • Ali Moeini University of Tehran, College of Engineering, Faculty of Enginering Science
  • D. Moazzami University of Tehran, College of Engineering, Faculty of Enginering Science
  • Mahdi Heidari Department of Algorithms and Computation, University of Tehran
چکیده مقاله:

In this paper we restrict every set splitting problem to the special case in which every set has just three elements. This restricted version is also NP-complete. Then, we introduce a general conversion from any set splitting problem to 3-set splitting. Then we introduce a randomize algorithm, and we use Markov chain model for run time complexity analysis of this algorithm. In the last section of this paper we introduce "Fast Split" algorithm.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

15 صفحه اول

An FPT Algorithm for Set Splitting

An FPT algorithm with a running time of O(n+2n) is described for the Set Splitting problem, parameterized by the number k of sets to be split. It is also shown that there can be no FPT algorithm for this problem with a running time of the form 2n unless the satisfiability of n-variable 3SAT instances can be decided in time 2.

متن کامل

Even Faster Algorithm for Set Splitting!

In the p-Set Splitting problem we are given a universe U , a family F of subsets of U and a positive integer k and the objective is to find a partition of U into W and B such that there are at least k sets in F that have non-empty intersection with both B and W . In this paper we study p-Set Splitting from the view point of kernelization and parameterized algorithms. Given an instance (U,F , k)...

متن کامل

Solving the Set-Splitting Problem in Sticker-Based Model and the Lipton-Adelmann Model

!"#$%&'$( KI;"'$()5%*&" &3" +-%8& #$#"% -( 53-:3 -& 5$8 I"'*(8&%$&"I &3$& !UK V!"#$%&'(#)*+,"'+ .+'/W)8&%$(I8 :*2;I X")$##;-"I +*% I"$;-(/ 5-&3 8*;2&-*(8 &* $( -(8&$(:" *+ &3" UYD:*'#;"&" Z$'-;&*(-$( #$&3 #%*X;"' VZYYW@) [-#&*()5%*&" &3" 8":*(I) #$#"% -( 53-:3 -& 5$8 83*5() &3$& &3" KI;"'$( &":3(-\2"8 :*2;I $;8* X" 28"I &* 8*;7-(/ &3") UYD:*'#;"&") 8$&-8+-$X-;-&9 V1K4W) #%*X;"' V&3") +-%8&) UYD...

متن کامل

An optical solution for the set splitting problem

We describe here an optical device, based on time-delays, for solving the set splitting problem which is well-known NP-complete problem. The device has a graph-like structure and the light is traversing it from a start node to a destination node. All possible (potential) paths in the graph are generated and at the destination we will check which one satisfies completely the problem’s constrains.

متن کامل

Integrated JIT Lot-Splitting Model with Setup Time Reduction for Different Delivery Policy using PSO Algorithm

This article develops an integrated JIT lot-splitting model for a single supplier and a single buyer. In this model we consider reduction of setup time, and the optimal lot size are obtained due to reduced setup time in the context of joint optimization for both buyer and supplier, under deterministic condition with a single product. Two cases are discussed: Single Delivery (SD) case, and Multi...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 47  شماره 1

صفحات  79- 92

تاریخ انتشار 2016-04-01

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023