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An objective space cut and bound algorithm for convex multiplicative programmes
Shao, Lizhen; Ehrgott, Matthias - In: Journal of Global Optimization 58 (2014) 4, pp. 711-728
objective space cut and bound algorithm for approximately solving convex multiplicative programming problems. This method is … based on an objective space approximation algorithm for convex multi-objective programming problems. We show that this multi …-objective optimisation algorithm can be changed into a cut and bound algorithm to solve convex multiplicative programming problems. We use an …
Persistent link: https://www.econbiz.de/10010896433
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Finding all nondominated points of multi-objective integer programs
Lokman, Banu; Köksalan, Murat - In: Journal of Global Optimization 57 (2013) 2, pp. 347-365
nondominated points and exclude the regions that are dominated by the previously-generated nondominated points. One algorithm … generates new points by solving models with additional binary variables and constraints. The other algorithm employs a search …
Persistent link: https://www.econbiz.de/10010994053
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Duality theorems for a new class of multitime multiobjective variational problems
Pitea, Ariana; Postolache, Mihai - In: Journal of Global Optimization 54 (2012) 1, pp. 47-58
In this work, we consider a new class of multitime multiobjective variational problems of minimizing a vector of functionals of curvilinear integral type. Based on the normal efficiency conditions for multitime multiobjective variational problems, we study duals of Mond-Weir type, generalized...
Persistent link: https://www.econbiz.de/10010994003
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Newton-like methods for efficient solutions in vector optimization
Chuong, Thai - In: Computational Optimization and Applications 54 (2013) 3, pp. 495-516
In this work we study the Newton-like methods for finding efficient solutions of the vector optimization problem for a map from a finite dimensional Hilbert space X to a Banach space Y, with respect to the partial order induced by a closed, convex and pointed cone C with a nonempty interior. We...
Persistent link: https://www.econbiz.de/10010998354
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Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions
Mishra, S.; Wang, S.; Lai, K. - In: Mathematical Methods of Operations Research 67 (2008) 3, pp. 493-504
A nonsmooth multiobjective optimization problem involving generalized (F, α, ρ, d)-type I function is considered. Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are...
Persistent link: https://www.econbiz.de/10010999649
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Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions
Mishra, S.; Wang, S.; Lai, K. - In: Computational Statistics 67 (2008) 3, pp. 493-504
A nonsmooth multiobjective optimization problem involving generalized (F, α, ρ, d)-type I function is considered. Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are...
Persistent link: https://www.econbiz.de/10010847603
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Efficient solution of interval optimization problem
Bhurjee, A.; Panda, G. - In: Mathematical Methods of Operations Research 76 (2012) 3, pp. 273-288
In this paper the interval valued function is defined in the parametric form and its properties are studied. A methodology is developed to study the existence of the solution of a general interval optimization problem, which is expressed in terms of the interval valued functions. The methodology...
Persistent link: https://www.econbiz.de/10010950195
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AN OPTIMIZATION MODEL FOR REUSE SCENARIO SELECTION CONSIDERING RELIABILITY AND COST IN SOFTWARE PRODUCT LINE DEVELOPMENT
WU, ZHIQIAO; TANG, JIAFU; KWONG, C. K.; CHAN, C. Y. - In: International Journal of Information Technology & … 10 (2011) 05, pp. 811-841
design the model efficiently, a three-phase algorithm for finding all efficient solutions is developed, where the first two …
Persistent link: https://www.econbiz.de/10009291906
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Financial interest causing problems of monetary transmission as evaluated by the Islamic alternative
Rab, Hifzur; Anjum, Syeda - In: Humanomics: The International Journal of Systems and Ethics 27 (2011) August, pp. 184-200
Purpose – The paper's aim is to study the system of interest, its crippling of the market by monetary manipulation and creation of gross disparity and its consequences and to explore an efficient Islamic alternative. Design/methodology/approach – The application of science and its analytical...
Persistent link: https://www.econbiz.de/10009319830
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Stability And Estimates In Stochastic Multiobjective Programming Problems
Vyvialová, Svatava - In: Bulletin of the Czech Econometric Society 9 (2002)
The paper deals with a stability of multiobjective stochastic programming problems in which objective functions are in the form of mathematical expectation of functions depending on a random element and a constraints set is deterministic. The stability is investigated with respect to a...
Persistent link: https://www.econbiz.de/10008528818