Problem ranca — разлика између измена

Садржај обрисан Садржај додат
мНема описа измене
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Ред 50:
| first = G.S.
| last = Lueker
| contributiontitle = Report No. 178, Computer Science Laboratory, Princeton; Two NP-complete problems in nonnegative integer programming
| title = Report No. 178, Computer Science Laboratory, Princeton
| year = 1975}}</ref> da je varijata bez granice [[НП комплетан проблем|NP-kompletan problem]]. Obe varijatne, i sa ograničenjem i bez ograničenja, imaju aproskimativnu šemu polinomijalnog vremena - [[Polynomial-time approximation scheme|FPTAS]] (u suštini, kao i kod 0-1 problemna ranca).
 
Линија 128 ⟶ 127:
 
SUKP (Set-Union Knapsack Problem) je definisao Kellerer i dr.<ref name = KP-KPP>{{Cite book
| author= Kellerer, Hans and|author2= Pferschy, Ulrich and|author3= Pisinger, David
| year = 2004
| title = Knapsack Problems
| publisher = [[Springer Verlag]]|id=ISBN 3-540-40286-1
| unused_data = Kellerer
}}</ref> (na 423. str.):
<blockquote>
Линија 154 ⟶ 152:
|}
 
Pokazano je da je varijanta 0-1 (za sve fiksne <math>m \ge 2</math>) [[НП комплетан проблем|NP-komplentna]] oko 1980. godine i da nema FPTAS osim ako je P=NP.<ref>{{cite news|authorsauthor = Gens, G. V. and|author2= Levner, E. V.|year=1979|title=Complexity and Approximation Algorithms for Combinatorial Problems: A Survey|publisher = Central Economic and Mathematical Institute, Academy of Sciences of the USSR, Moscow}}</ref><ref>{{cite journal|author8author = Korte, B. and|author2= Schrader, R. | year = 1980 | title = On the Existence of Fast Approximation Schemes| journal = Nonlinear Programming | volume = 4 | publisher = Academic Press | pages=415-437}}</ref>
 
Ograničena i neograničena varijanta (za sve fiksne <math>m \ge 2</math>) imaju istu složenost.<ref>{{cite journal|doi = 10.1287/moor.9.2.244|last1 = Magazine|title = A Note on Approximation Schemes for Multidimensional Knapsack Problems|first1 = M. J.|last2 = Chern|first2 = M.-S.
| author8author3 = Magazine, Michael J. and|author4= Chern, Maw-Sheng
| journal = Mathematics of Operations Research
| volume = 9
Линија 266 ⟶ 264:
 
== Literatura ==
* {{Cite book |ref= harv|author= Kellerer, Hans and Pferschy, Ulrich and Pisinger, David|year=2004| title = Knapsack Problems| publisher = [[Springer Verlag]]|id=ISBN 3-540-40286-1| unused_data = Kellerer}}
* [http://www.diku.dk/users/pisinger/95-1.pdf "Algorithms for Knapsack Problems"], D. Pisinger. Ph.D. thesis, DIKU, University of Copenhagen, Report 95/1 (1995).