Approximate Sorting

نویسندگان

  • Joachim Giesen
  • Eva Schuberth
  • Milos Stojakovic
چکیده

We show that any randomized algorithm to approximate any given ranking of n items within expected Spearman’s footrule distance n/ν(n) needs at least n (min{log ν(n), log n} − 6) comparisons. This bound is tight up to a constant factor since there exists a deterministic algorithm that shows that 6n(log ν(n) + 1) comparisons are always sufficient.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solving ‎‎‎Multi-objective Optimal Control Problems of chemical ‎processes ‎using ‎Hybrid ‎Evolutionary ‎Algorithm

Evolutionary algorithms have been recognized to be suitable for extracting approximate solutions of multi-objective problems because of their capability to evolve a set of non-dominated solutions distributed along the Pareto frontier‎. ‎This paper applies an evolutionary optimization scheme‎, ‎inspired by Multi-objective Invasive Weed Optimization (MOIWO) and Non-dominated Sorting (NS) strategi...

متن کامل

Approximate compaction and padded - sortingon

Padded-sorting is a task of placing input items in an array in a nondecreasing order, but with free space between consecutive elements allowed. For many applications, padded-sorting is as useful as sorting. Approximate compaction and compression are closely related problems. It is known that time complexity of padded-sorting on randomized CRCW PRAMs is dramatically lower than time complexity of...

متن کامل

Approximate Compaction and Padded-Sorting on Exclusive Write PRAMs

Padded-sorting is a task of placing input items in an array in a nondecreasing order, but with free space between consecutive elements allowed. For many applications, paddedsorting is as useful as sorting. Approximate compaction and compression are closely related problems. It is known that time complexity of padded-sorting on randomized CRCW PRAMs is considerably lower than time complexity of ...

متن کامل

Lower Bounds for Padded Sorting and Approximate Counting

We examine the relationship between running time and error of parallel sorting algorithms. This is done by applying Hastad's main lemma to relate the size depth and error of simple circuits, that sort an input of 0's and 1's. As a consequence, we obtain lower bounds for approximate counting as well.

متن کامل

Priority Queue Schedulers with Approximate Sorting in Output Buuered Switches

All recently proposed packet scheduling algorithms for output-bu ered switches which support QoS transmit packets in some priority order, for example, according to deadlines, virtual nishing times, eligibility times, or other timestamps that are associated with a packet. Since maintaining a sorted priority queue introduces signi cant overhead, much emphasis of QoS scheduler design is put on met...

متن کامل

Priority queue schedulers with approximate sorting in output-buffered switches

All recently proposed packet-scheduling algorithms for output-buffered switches that support quality-of-service (QoS) transmit packets in some priority order, e.g., according to deadlines, virtual finishing times, eligibility times, or other time stamps that are associated with a packet. Since maintaining a sorted priority queue introduces significant overhead, much emphasis on QoS scheduler de...

متن کامل

ذخیره در منابع من


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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006