A study of interval metric and its application in multi-objective optimization with interval objectives

Computers and Industrial Engineering

Volumn 74, Issue 1, 2014, Pages 169-178

  Bhunia, Asoke Kumar ^a   Samanta, Subhra Sankha ^a  

^a UNIVERSITY OF BURDWAN   (India)

Author keywords

Interval objective; Interval order relations; Multiple objective programming; Pareto optimality; Tournament Genetic Algorithm

Indexed keywords

GENETIC ALGORITHMS; PARETO PRINCIPLE;

ARITHMETIC CROSSOVER; COMPUTATIONAL RESULTS; INTERVAL OBJECTIVE; INTERVAL ORDERS; MULTI-OBJECTIVE OPTIMIZATION PROBLEM; MULTIPLE OBJECTIVE PROGRAMMING; PARETO-OPTIMALITY; SINGLE OBJECTIVE OPTIMIZATION PROBLEMS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 84902652018     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2014.05.014     Document Type: Article

References (11)

1. A.K. Bhunia, S. Kundu, T. Sannigrahi, and S.K. Goyal An application of tournament genetic algorithm in a marketing oriented economic production lot-size model for deteriorating items International Journal of Production Economics 119 1 2009 112 121
2. R.K. Gupta, A.K. Bhunia, and D. Roy A GA based penalty function technique for solving constrained redundancy allocation problem of series system with interval valued reliability of components Journal of Computational and Applied Mathematics 49 2009 1 10
3. E. Hansen, and G.W. Walster Global optimization using interval analysis 2004 Marcel Dekker Inc New York
4. B.Q. Hu, and S.A. Wang A novel approach in uncertain programming part I: new arithmetic and order relation for interval numbers Journal of Industrial and Management Optimization 2 4 2006 351 371
5. H. Ishibuchi, and H. Tanaka Multiobjective programming in optimization of the interval objective function European Journal of Operational Research 48 1990 219 225
6. S. Karmakar, and A.K. Bhunia A comparative study of different order relations of intervals Reliable Computing 16 2012 38 72
7. S.K. Mahato, and A.K. Bhunia Interval-arithmetic-oriented interval computing technique for global optimization Applied Mathematics Research eXpress 2006 1 19
8. R.E. Moore Method and applications of interval analysis 1979 SIAM Philadelphia
9. L. Sahoo, A.K. Bhunia, and P.K. Kapur Genetic algorithm based multi-objective reliability optimization in interval environment Computers and Industrial Engineering 62 2012 152 160
10. Trindade, R. M. P., Bedregal, B. R. C., Neto, A. D. D., & Acioly, B. M. (2010). An interval metric. New advanced technology, Aleksandar Lazinica (Ed.), ISBN: 978-953-307-067-4, InTech.
11. H.C. Wu The Karush-Kuhn-Tucker optimality conditions in multiobjective programming problem with interval-valued objective functions European Journal of Operational Research 196 2009 49 60