Search results for "Linear programming"
showing 7 items of 137 documents
The Tax Justice Network-Africa v Cabinet Secretary for National Treasury & 2 Others: A Big Win for Tax Justice Activism?
2019
This paper develops an optimization model for selecting a large subsample that improves the representativeness of a simple random sample previously obtained from a population larger than the population of interest. The problem formulation involves convex mixed-integer nonlinear programming (convex MINLP) and is therefore NP-hard. However, the solution is found by maximizing the “constant of proportionality” – in other words, maximizing the size of the subsample taken from a stratified random sample with proportional allocation – and restricting it to a p-value high enough to achieve a good fit to the population of interest using Pearson’s chi-square goodness-of-fit test. The beauty of the m…
ASPECTS REGARDING THE OPTIMIZATION OF THE QUALITY OF MANAGERIAL DECISIONS - SOLVING AN OPTIMIZATION PROBLEM IN THE SENSE OF SUSTAINABILITY WITH WINQSB
2012
In this paper we present an optimization problem solving, problem that is mathematically shaped as a linear programming problem. This is made with the purpose of finding an optimal solution which is also a sustainable one. In the present and future society, it is clear that nothing can be done honestly, but only in the sense of a professional and sustainable thinking (Konrad, C., 2011, pp.202-217, Petrescu, I., 2006, p.1). To think sustainable can also mean “to be calculated”, in popular language “to choose wisely”, all for achieving the proposed project, being careful to using non-renewable resources, to pollution, to protection for human resource, etc. Of course that the logical and preci…
Shape optimization in contact problems based on penalization of the state inequality
1986
The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established. peerReviewed
Continuous models combining slacks-based measures of efficiency and super-efficiency
2022
AbstractIn the framework of data envelopment analysis (DEA), Tone (Eur J Oper Res 130(3):498–509, 2001) introduced the slacks-based measure (SBM) of efficiency, which is a nonradial model that incorporates all the slacks of the evaluated decision-making units (DMUs) into their efficiency scores, unlike classical radial efficiency models. Next, Tone (Eur J Oper Res 143(1):32–41, 2002) developed the SBM super-efficiency model in order to differentiate and rank efficient DMUs, whose SBM efficiency scores are always 1. However, as pointed out by Chen (Eur J Oper Res 226(2):258–267, 2013), some interpretation problems arise when the so-called super-efficiency projections are weakly efficient, le…
Interactively Learning the Preferences of a Decision Maker in Multi-objective Optimization Utilizing Belief-rules
2020
Many real life problems can be modelled as multiobjective optimization problems. Such problems often consist of multiple conflicting objectives to be optimized simultaneously. Multiple optimal solutions exist to these problems, and a single solution cannot be said to be the best without preferences given by a domain expert. Preferences can be used to find satisfying solutions: optimal solutions, which best match the expert’s preferences. To model the preferences of the expert, and aid him/her in finding satisfying solutions, a novel method is proposed. The method utilizes machine learning combined with belief-rule based systems to adaptively train a belief rule based system to learn a domai…
Sporta sacensību plānošana lietojot lineāro programmēšanu
2018
Darbā tiek analizēts diskrētās programmēšanas modelis sporta apļa turnīra grafika izveidei, minimizējot novirzi starp komandu priekšrocību sarakstu un rezultējošo grafiku. Tiek apskatīti speciālie matemātiskie rīki, lai panāktu stabilu risinājumu sacensību plānošanas problēmai. Īpaša uzmanība tiek pievērsta stabilitātes nosacījumam šī modeļa kontekstā. Tiek definēti komandu priekšrocību veidi un meklēti stabili un nestabili grafiki turnīriem pie dažādām priekšrocībām.
Surrogate-assisted evolutionary multiobjective shape optimization of an air intake ventilation system
2017
We tackle three different challenges in solving a real-world industrial problem: formulating the optimization problem, connecting different simulation tools and dealing with computationally expensive objective functions. The problem to be optimized is an air intake ventilation system of a tractor and consists of three computationally expensive objective functions. We describe the modeling of the system and its numerical evaluation with a commercial software. To obtain solutions in few function evaluations, a recently proposed surrogate-assisted evolutionary algorithm K-RVEA is applied. The diameters of four different outlets of the ventilation system are considered as decision variables. Fr…