2023
73. Lenstra, Jan Karel; Vakhania, Nodari; On the complexity of scheduling unrelated parallel machines with limited preemptions. 
Operations Research Letters. 
2023, 
51 2 (187 – 189) 
10.1016/j.orl.2023.02.004 
2022
72. Vakhania, Nodari; Simple Methods for Traveling Salesman Problems. 
Computer Sciences & Mathematics Forum. 
2022, 
2 1 10.3390/IOCA2021-1091471. Pacheco-Valencia, Víctor Hugo; Vakhania, Nodari; Hernández-Mira, Frank Ángel; Hernández-Aguilar, José Alberto; A Multi-Phase Method for Euclidean Traveling Salesman Problems. 
Axioms. 
2022, 
11 9 (439 – 439) 
10.3390/axioms1109043970. Hernández Mira, Frank Ángel;Parra Inza, Ernesto;Sigarreta Almira, José María;Vakhania, Nodari; A polynomial-time approximation to a minimum dominating set in a graph. 
Theoretical Computer Science. 
2022, 
930 (142 – 156) 
10.1016/j.tcs.2022.07.020 
2021
69. Reynoso, Alejandro; Vakhania, Nodari; Theoretical and practical issues in single-machine scheduling with two job release and delivery times. 
Journal of Scheduling. 
2021, 
24 6 (615 – 647) 
10.1007/s10951-021-00708-468. Vakhania, Nodari; Werner, Frank; Branch Less, Cut More and Schedule Jobs with Release and Delivery Times on Uniform Machines. 
Mathematics. 
2021, 
9 6 (633 – 633) 
10.3390/math906063367. Hernández Mira, Frank A.; Parra Inza, Ernesto; Sigarreta Almira, José M.; Vakhania, Nodari; Properties of the Global Total k-Domination Number. 
Mathematics. 
2021, 
9 5 (480 – 480) 
10.3390/math905048066. Vakhania, Nodari; Werner, Frank; Branch Less, Cut More and Schedule Jobs with Release and Delivery Times on Uniform Machines. 
Mathematics. 
2021, 
9 6 (633 – 633) 
10.3390/math906063365. Hernández-Mira, Frank Aangel; Rosas-Acevedo, José Luis;Reyes-Umaña, Maximino; Violante-González, Juan;Sigarreta-Almira, José María; Vakhania, Nodari; Multimetric Index to Evaluate Water Quality in Lagoons: A Biological and Geomorphological Approach. 
Sustainability. 
2021, 
13 4631 10.3390/su1309463164. Hernández Mira, Frank A.; Parra Inza, Ernesto; Sigarreta Almira, José M.;Vakhania, Nodari; Properties of the Global Total k-Domination Number. 
Mathematics. 
2021, 
9 5 (480 – 480) 
10.3390/math9050480 
2020
63. Alonso-Pecina, Federico; Hernández, José Alberto; Sigarreta, José Maria; Vakhania, Nodari; Fast Approximation for Scheduling One Machine. 
Mathematics. 
2020, 
8 9 (1524 – 1524) 
10.3390/math809152462. Vakhania, Nodari; Mamporia, Badri; Fast Algorithms for Basic Supply Chain Scheduling Problems. 
Mathematics. 
2020, 
8 11 (1919 – 1919) 
10.3390/math8111919 
2019
61. Pacheco-Valencia, Víctor; Hernández, José Alberto; Sigarreta, José María; Vakhania, Nodari; Simple constructive, insertion, and improvement heuristics based on the girding polygon for the euclidean traveling salesman problem. 
Algorithms. 
2019, 
13 1 (5 – 5) 
10.3390/a1301000560. Carballosa, Walter;Rodríguez, José Manuel; Sigarreta, José María; Vakhania, Nodari; f-polynomial on some graph operations. 
Mathematics. 
2019, 
7 11 (1074 – 1074) 
10.3390/math711107459. Vakhania, Nodari; Dynamic restructuring framework for scheduling with release times and due-dates. 
Mathematics. 
2019, 
7 11 (1104 – 1104) 
10.3390/math711110458. Vakhania, Nodari; Fast solution of single-machine scheduling problem with embedded jobs. 
Theoretical Computer Science. 
2019, 
10.1016/j.tcs.2019.03.001 
2018
57. Vakhania., N.; Scheduling a Single Machine with Primary and Secondary Objectives. 
Algorithms. 
2018, 
11 80 10.3390/a110600802017
56. Chinos, E., Vakhania, N.; Adjusting scheduling model with release and due dates in production planning. 
Cogent Engineering. 
2017, 
4 1 (1 – 23) 
10.1080/23311916.2017.132117555. Vakhania, N; Probabilistic quality estimations for combinatorial optimization problems. 
Georgian Mathematical Journal.. 
2017, (Articles not published yet, but available online A – Articles not published yet, but available online A) 
10.1515/gmj-2017-0041. 
2016
53. Vakhania, Nodari;Hernandez, Jose Alberto;Alonso-Pecina, Federico;Zavala, Crispin; A simple heuristic for basic vehicle routing problem. 
Journal of Computer Science. 
2016, 
3 2 (39 – 39) 
10.15379/2410-2938.2016.03.02.04 
2015
51. Vakhania, Nodari;Pérez, Dante;Carballo, Lester; Theoretical expectation versus practical performance of Jackson’s heuristic. 
Mathematical Problems in Engineering. Hindawi Publishing Corporation. 
2015, 
2015 10.1155/2015/48467150. Vakhania, Nodari;Chinos, Elisa;Zavala, Crispin; An efficient heuristic for a discrete optimization problem. 
Journal of Computer Science Technology Updates. 
2015, 
2 2 (38 – 45) 
10.15379/2410-2938.2015.02.02.05 
2014
49. Vakhania, Nodari;Hernandez, Jose Alberto;Werner, Frank; Scheduling unrelated machines with two types of jobs. 
International Journal of Production Research. Taylor & Francis. 
2014, 
52 13 (3793 – 3801) 
10.1080/00207543.2014.888789 
2013
47. Vakhania, Nodari; A study of single-machine scheduling problem to maximize throughput. 
Journal of Scheduling. Springer. 
2013, 
16 4 (395 – 403) 
10.1007/s10951-012-0307-845. Carballo, Lester;Vakhania, Nodari; Werner, Frank; Reducing efficiently the search tree for multiprocessor job-shop scheduling problems. 
International Journal of Production Research. Taylor & Francis. 
2013, 
51 23-24 (7105 – 7119) 
10.1080/00207543.2013.83722644. Vakhania, Nodari; Werner, Frank; Minimizing maximum lateness of jobs with naturally bounded job data on a single machine in polynomial time. 
Theoretical Computer Science. Elsevier. 
2013, 
501 (72 – 81) 
10.1016/j.tcs.2013.07.001 
2012
43. Carballo, Lester;Lazarev, Alexander A;Vakhania, Nodari;Werner, Frank; Search on the enumeration tree in the multiprocessor job-shop problem. 
IFAC Proceedings Volumes. Elsevier. 
2012, 
45 6 (81 – 86) 
10.3182/20120523-3-RO-2023.0041442. Vakhania, Nodari; Branch less, cut more and minimize the number of late equal-length jobs on identical machines. 
Theoretical Computer Science. Elsevier. 
2012, 
465 (49 – 60) 
10.1016/j.tcs.2012.08.03141. Vakhania, Nodari;Werner, Frank; Near to optimal size selection in combinatorial circuits. 
IFAC Proceedings Volumes. Elsevier. 
2012, 
45 6 (63 – 68) 
10.3182/20120523-3-RO-2023.0006040. Werner, Frank;Vakhania, Nodari; Polynomial algorithms for scheduling jobs with two processing times on unrelated machines. 
Information Control Problems in Manufacturing. 
2012, 
14 1 (93 – 97) 
10.3182/20120523-3-RO-2023.0005539. Vakhania, Nodari;Werner, Frank; Polynomial algorithms for scheduling jobs with two processing times on unrelated machines. 
IFAC Proceedings Volumes. Elsevier. 
2012, 
45 6 (93 – 97) 
10.3182/20120523-3-RO-2023.0005538. Werner, Frank;Vakhania, Nodari; A polynomially solvable case of a single machine scheduling problem when the maximal job processing time is a constant. 
Information Control Problems in Manufacturing. 
2012, 
14 1 (117 – 122) 
10.3182/20120523-3-RO-2023.00053 
2011
36. Shchepin, Evgeny V;Vakhania, Nodari; A note on the proof of the complexity of the little-preemptive open-shop problem. 
Annals of Operations Research. Springer. 
2011, 
191 1 (251 – 253) 
10.1007/s10479-011-0975-3 
2010
33. Vakhania, Nodari; Plenary lecture 6: a method for a class of scheduling problems. 
Proceedings of the 2010 American conference on Applied mathematics. World Scientific and Engineering Academy and Society (WSEAS). 
2010, (23 – 23) 
http://dl.acm.org/citation.cfm?id=186398732. Vakhania, Nodari; A polynomial-time algorithm for a special case of minimizing the lateness on a single machine. 
Proceedings of the 2010 American conference on Applied mathematics. World Scientific and Engineering Academy and Society (WSEAS). 
2010, (316 – 321) 
http://www.lix.polytechnique.fr/~baptiste/jsched98.pdf 
2009
30. Vakhania, Nodari; Scheduling jobs with release times preemptively on a single machine to minimize the number of late jobs. 
Operations Research Letters. Elsevier. 
2009, 
37 6 (405 – 410) 
10.1016/j.orl.2009.09.00329. Vakhania, Nodari; A binary search algorithm for a special case of minimizing the lateness on a single machine. 
International Journal Of Applied Mathematics And Informatics. 
2009, 
3 3 http://www.naun.org/main/UPress/ami/19-251.pdf 
2008
27. Chrobak, Marek;Dürr, Christoph;Jawor, Wojciech;Vakhania, Nodari; Preemptive scheduling of equal-length jobs to maximize weighted throughput. 
arXiv preprint cs/0209033. 
2008, 
10.1016/j.orl.2003.09.00426. Vakhania, Nodari; Fast algorithms for preemptive scheduling of equal-length jobs on a single and identical processors to minimize the number of late jobs. 
International Journal of Mathematics and Computers in Simulation. 
2008, 
1 (95 – 100) 
http://www.naun.org/main/NAUN/mcs/mcs-15.pdf25. Shchepin, Evgeny V;Vakhania, Nodari; On the geometry, preemptions and complexity of multiprocessor and shop scheduling. 
Annals of Operations Research. Springer. 
2008, 
159 1Shchepin, E. V, & Vakhania, N. (2008). On the geometry, preemptions and complexity of multiprocessor and shop scheduling. Annals of Operations Research, 159(1), 183–213. https://doi.org/10.1007/s10479-007-0266-1 (183 – 213) 
10.1007/s10479-007-0266-124. Vakhania, Nodari; A fast on-line algorithm for the preemptive scheduling of equal-length jobs on a single processor. 
Proceedings of the 2nd WSEAS international conference on computer engineering and applications. World Scientific and Engineering Academy and Society (WSEAS). 
2008, (158 – 161) 
http://dl.acm.org/citation.cfm?id=1373962 
2007
23. Vakhania, Nodari; Global estimations for multiprocessor job-shop. 
Computational Intelligence in Scheduling, 2007. SCIS’07. IEEE Symposium on. IEEE. 
2007, (65 – 71) 
10.1109/SCIS.2007.367671 
2006
20. Shchepin, Evgeny;Vakhania, Nodari; An absolute approximation algorithm for scheduling unrelated machines. 
Naval Research Logistics (NRL). Wiley Online Library. 
2006, 
53 6 (502 – 507) 
10.1002/nav.20157 
2005
18. Shchepin, Evgeny V;Vakhania, Nodari; An optimal rounding gives a better approximation for scheduling unrelated machines. 
Operations Research Letters. Elsevier. 
2005, 
33 2 (127 – 133) 
10.1016/j.orl.2004.05.004 
2004
17. Baptiste, Philippe;Chrobak, Marek;Dürr, Christoph;Jawor, Wojciech;Vakhania, Nodari; Preemptive scheduling of equal-length jobs to maximize weighted throughput. 
Operations Research Letters. North-Holland. 
2004, 
32 3 (258 – 264) 
10.1016/j.orl.2003.09.00416. Vakhania, Nodari; Single-machine scheduling with release times and tails. 
Annals of Operations Research. Springer. 
2004, 
129 1-4 (253 – 271) 
10.1023/B:ANOR.0000030692.69147.e2 
2003
15. Homan, Christopher M;Alon, Noga;Anand, R Sai;Arora, Sanjeev;Basu, Saugata;Cai, Liming;Cesati, Marco;Cheetham, James;Chen, Jianer;Chien, Steve; Hall, Alexander, 707 Heusch, Peter, 772. 
Journal of Computer and System Sciences. 
2003, 
67 (849 – 849) 
http://www.sciencedirect.com/science/journal/00220000/67/414. Vakhania, Nodari; A better algorithm for sequencing with release and delivery times on identical machines. 
Journal of Algorithms. Academic Press. 
2003, 
48 2 (273 – 293) 
10.1016/S0196-6774(03)00072-513. Chrobak, Marek;Epstein, Leah;Noga, John;Sgall, Jiřı́;van Stee, Rob;Tichý, Tomáš;Vakhania, Nodari; Preemptive scheduling in overloaded systems. 
Journal of Computer and System Sciences. Elsevier. 
2003, 
67 1 (183 – 197) 
10.1016/S0022-0000(03)00070-912. Epstein, Leah;Tassa, Tamir;Guha, Sudipto;Meyerson, Adam;Munagala, Kamesh;Liao, Chien-Chih;Lu, Hsueh-I;Yen, Hsu-Chun;Frederiksen, Jens S;Larsen, Kim S; Ashish Goel, Monika R. Henzinger, Serge Plotkin, and Eva Tardos. Scheduling data. 
Journal of Algorithms. 
2003, 
48 (271 – 271) 
10.1016/S0196-6774(03)00054-3 
2002
11. Vakhania, Nodari;Shchepin, Evgeny; Concurrent operations can be parallelized in scheduling multiprocessor job shop. 
Journal of Scheduling. Wiley Online Library. 
2002, 
5 3 (227 – 245) 
10.1002/jos.10110. Vakhania, Nodari; Scheduling equal-length jobs with delivery times on identical processors. 
International journal of computer mathematics. Taylor & Francis. 
2002, 
79 6 (715 – 728) 
10.1080/002071602112889. Chrobak, Marek;Epstein, Leah;Noga, John;Sgall, Jiří;van Stee, Rob;Tichý, Tomáš;Vakhania, Nodari; Preemptive scheduling in overloaded systems. 
International Colloquium on Automata, Languages, and Programming. Springer Berlin Heidelberg. 
2002, (800 – 811) 
10.1016/S0022-0000(03)00070-98. Shchepin, Evgeny;Vakhania, Nodari; Little-preemptive scheduling on unrelated processors. 
Journal of Mathematical Modelling and Algorithms. Springer. 
2002, 
1 1 (43 – 56) 
10.1023/A:1015674704111 
2001
7. Vakhania, Nodari; Tight performance bounds of CP-scheduling on out-trees. 
Journal of combinatorial optimization. Springer. 
2001, 
5 4 (445 – 464) 
10.1023/A:1011676725533 
2000
5. Shchepin, Evgeny V;Vakhania, Nodari N; Task distributions on multiprocessor systems. 
IFIP International Conference on Theoretical Computer Science. Springer Berlin Heidelberg. 
2000, (112 – 125) 
10.1007/3-540-44929-9_104. van den Akker, Marjan;Hoogeveen, Han;Vakhania, Nodari; Restarts can help in the on-line minimization of the maximum delivery time on a single machine. 
European Symposium on Algorithms. Springer Berlin Heidelberg. 
2000, (427 – 436) 
10.1007/3-540-45253-2_391998
 
1997
1. Vakhania, Nodari; Sequencing jobs with readiness times and tails on parallel machines. 
Proceedings of the 1997 ACM symposium on Applied computing. ACM. 
1997, (438 – 446) 
10.1145/331697.332330