Solving a permutation problem by a fully polynomial-time approximation scheme

Stanisław Gawiejnowicz; Wiesław Kurc; Lidia Pankowska

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2010)

  • Volume: 30, Issue: 2, page 191-203
  • ISSN: 1509-9407

Abstract

top
For a problem of optimal discrete control with a discrete control set composed of vertices of an n-dimensional permutohedron, a fully polynomial-time approximation scheme is proposed.

How to cite

top

Stanisław Gawiejnowicz, Wiesław Kurc, and Lidia Pankowska. "Solving a permutation problem by a fully polynomial-time approximation scheme." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 30.2 (2010): 191-203. <http://eudml.org/doc/271198>.

@article{StanisławGawiejnowicz2010,
abstract = {For a problem of optimal discrete control with a discrete control set composed of vertices of an n-dimensional permutohedron, a fully polynomial-time approximation scheme is proposed.},
author = {Stanisław Gawiejnowicz, Wiesław Kurc, Lidia Pankowska},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {combinatorial optimization; discrete control theory; fully polynomial-time approximation scheme; polynomial-time approximation scheme},
language = {eng},
number = {2},
pages = {191-203},
title = {Solving a permutation problem by a fully polynomial-time approximation scheme},
url = {http://eudml.org/doc/271198},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Stanisław Gawiejnowicz
AU - Wiesław Kurc
AU - Lidia Pankowska
TI - Solving a permutation problem by a fully polynomial-time approximation scheme
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2010
VL - 30
IS - 2
SP - 191
EP - 203
AB - For a problem of optimal discrete control with a discrete control set composed of vertices of an n-dimensional permutohedron, a fully polynomial-time approximation scheme is proposed.
LA - eng
KW - combinatorial optimization; discrete control theory; fully polynomial-time approximation scheme; polynomial-time approximation scheme
UR - http://eudml.org/doc/271198
ER -

References

top
  1. [1] S. Gawiejnowicz, Time-Dependent Scheduling, Monographs in Theoretical Computer Science: An EATCS Series (Springer, 2008). 
  2. [2] S. Gawiejnowicz, W. Kurc and L. Pankowska, A greedy approach for a time-dependent scheduling problem, Lecture Notes in Computer Science 2328 (2002), 79-86. Zbl1057.68547
  3. [3] S. Gawiejnowicz, W. Kurc and L. Pankowska, Analysis of a time-dependent scheduling problem by signatures of deterioration rate sequences, Discrete Appl. Math. 154 (2006), 2150-2166. doi: 10.1016/j.dam.2005.04.016 Zbl1113.90059
  4. [4] O.H. Ibarra and C.E. Kim, Fast approximation algorithms for the knapsack and sum of subset problems, Journal of ACM 22 (1975), 463-468. doi: 10.1145/321906.321909 Zbl0345.90049
  5. [5] G. Mosheiov, V-shaped policies for scheduling deteriorating jobs, Operations Research 39 (1991), 979-991. doi: 10.1287/opre.39.6.979 Zbl0748.90033
  6. [6] G. Woeginger, When does a dynamic programming formulation guarantee the existence of an FPTAS? INFORMS Journal on Computing 12 (2000), 57-73. doi: 10.1287/ijoc.12.1.57.11901 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.