On the Complexity of Calculating Sensitivity Parameters in Boolean Programming Problems

Verfasser / Beitragende:
[V. Mikhailyuk, N. Lishchuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/5(2015-09-01), 714-719
Format:
Artikel (online)
ID: 605519153
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024 7 0 |a 10.1007/s10559-015-9763-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9763-4 
245 0 0 |a On the Complexity of Calculating Sensitivity Parameters in Boolean Programming Problems  |h [Elektronische Daten]  |c [V. Mikhailyuk, N. Lishchuk] 
520 3 |a This article shows that, for NP-hard problems, the calculation of even the stability ball of radius 1 for an optimal solution is computationally intensive (i.e., a suitable polynomial algorithm is absent when P ≠ NP). In using greedy algorithms for solving the set covering problem (knapsack problem) with the stability radius r = O(1) , there are polynomial algorithms for calculating the stability ball of radius r for an ln m-approximate solution (1-approximate solution). 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a complexity of sensitivity analysis  |2 nationallicence 
690 7 |a stability radius of a problem  |2 nationallicence 
690 7 |a stability ball of radius r for an ε-approximate problem solution  |2 nationallicence 
700 1 |a Mikhailyuk  |D V.  |u Lesya Ukrainka Eastern European National University, Lutsk, Ukraine  |4 aut 
700 1 |a Lishchuk  |D N.  |u Lesya Ukrainka Eastern European National University, Lutsk, Ukraine  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/5(2015-09-01), 714-719  |x 1060-0396  |q 51:5<714  |1 2015  |2 51  |o 10559 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mikhailyuk  |D V.  |u Lesya Ukrainka Eastern European National University, Lutsk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lishchuk  |D N.  |u Lesya Ukrainka Eastern European National University, Lutsk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/5(2015-09-01), 714-719  |x 1060-0396  |q 51:5<714  |1 2015  |2 51  |o 10559