scholarly journals Correction to: Fully fuzzy multi-item two-stage fixed charge four-dimensional transportation problems with flexible constraints

Author(s):  
Sudeshna Devnath ◽  
Pravash Kumar Giri ◽  
Seema Sarkar Mondal ◽  
Manoranjan Maiti
Author(s):  
Sudeshna Devnath ◽  
Pravash Kumar Giri ◽  
Seema Sarkar Mondal ◽  
Manoranjan Maiti

2016 ◽  
Vol 32 (2) ◽  
pp. 225-232
Author(s):  
PETRICA POP ◽  
◽  
OLIVIU MATEI ◽  
CORINA POP SITAR ◽  
IOANA ZELINA ◽  
...  

This paper is focusing on an important transportation application encountered in supply chains, namely the capacitated two-stage fixed-charge transportation problem. For solving this complex optimization problem we described a novel hybrid heuristic approach obtained by combining a genetic algorithm based on a hash table coding of the individuals with a powerful local search procedure. The proposed algorithm was implemented and tested on an often used collection of benchmark instances and the computational results obtained showed that our proposed hybrid heuristic algorithm delivered competitive results compared to the state-of-the-art algorithms for solving the considered capacitated two-stage fixed-charge transportation problem.


1981 ◽  
Vol 29 (3) ◽  
pp. 448-463 ◽  
Author(s):  
Richard S. Barr ◽  
Fred Glover ◽  
Darwin Klingman

2017 ◽  
Vol 27 (1) ◽  
pp. 3-29 ◽  
Author(s):  
Sungeeta Singh ◽  
Renu Tuli ◽  
Deepali Sarode

The classical transportation problem (having source and destination as indices) deals with the objective of minimizing a single criterion, i.e. cost of transporting a commodity. Additional indices such as commodities and modes of transport led to the Multi Index transportation problem. An additional fixed cost, independent of the units transported, led to the Multi Index Fixed Charge transportation problem. Criteria other than cost (such as time, profit etc.) led to the Multi Index Bi-criteria transportation problem. The application of fuzzy and stochastic concept in the above transportation problems would enable researchers to not only introduce real life uncertainties but also obtain solutions of these transportation problems. The review article presents an organized study of the Multi Index transportation problem and its fuzzy and stochastic extensions till today, and aims to help researchers working with complex transportation problems.


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