Tyrimo objektas – didelio meistriškumo rankininkių kvėpavimo sistemos funkcija ir aerobinis pajėgumas. Tyrimo aktualumas. Aerobinis pajėgumas yra labai svarbus rankinyje siekiant aukštų sportinių rezultatų. Kiekvienoje sporto šakoje sportininkai skiriasi savo aerobiniu pajėgumu, todėl mūsų darbas yra aktualus, nes informatyviais tyrimo metodais nustatėme skirtingo amžiaus rankininkių aerobinį pajėgumą ir kvėpavimo sistemos funkcinius rodiklius. Tyrimo problema. Kokią įtaką amžius turi rankininkių aerobiniam pajėgumui bei kvėpavimo sistemos funkcijoms? Tyrimo tikslas: Nustatyti skirtingo amžiaus rankininkių kvėpavimo funkcijos ir aerobinio pajėgumo ypatumus. Uždaviniai: 1. Nustatyti skirtingo amžiaus rankininkių kvėpavimo sistemos pajėgumą ramybėje ir nuosekliai didėjančio fizinio krūvio metu. 2. Nustatyti skirtingo amžiaus rankininkių aerobinį pajėgumą. 3. Palyginti jaunesnio ir vyresnio amžiaus rankininkių aerobinį pajėgumą ir kvėpavimo funkcinius rodiklius. Išvados 1. Jaunesniųjų rankininkių maksimalūs plaučių ventiliacijos rodikliai buvo didesni, tiek testuojant ramybėje (maksimali valinga ventiliacija), tiek ir nuosekliai greitėjančio bėgimo metu (didžiausios pasiektos reikšmės). 2. Absoliučios plaučių talpos reikšmingai nesiskyrė lyginant skirtingo amžiaus rankininkių, tačiau lyginant su atitinkamo amžiaus norminėmis reikšmėmis forsuota iškvėpimo talpa buvo santykinai geresnė vyresnių rankininkių. 3. Jaunesnių rankininkių maksimalus deguonies suvartojimas... [toliau žr. visą tekstą] / The object of research – respiratory system and aerobic capacity of professional female handball players. The relevance of research. The efficiency of aerobic capacity is important in handball play. In every sports athletes differs in aerobic theme capacity, thats why our study is relevant, because we obtained the results about on aerobic capacity of the female handball players in different age group. Question of research – what influence has age for the aerobic capacity and respiratory system function of female handball players. The purpose of research: to determine the respiratory function and aerobic capacity of the professional female handball players of different age. Goals: 1. To determine the capacity of respiratory system of the female handball players. 2. To determine the aerobic capacity of female handball players. 3. To compare the data of senior and junior female hanball players. Conclusions 1. The rates of the maximal lungs ventilation of junior female handball players were greater in both while testing at rest and maximal ventilation continuously accelerating running (maximal achieved value). 2. Absolute lungs capacity did not change significantly between different age female handball players, although comparing the forced exhalation capacity of appropriate age standard value, senior handball players had relatively better data. 3. The maximal oxygen uptake, ventilation threshold and correspondent values of vegetative system (HR, maximal oxygen... [to full text]

This study reviewed first the development of race result in canoe sprint during the past decades. The race results of MK1-1000 and WK1-500 have increased 32.5 % and 42.1 %, respectively, a corresponding 5.0 % and 6.5 % increase in each decade. The development of race results in canoe sprint during the past decades resulted from the contributions of various aspects. The recruitment of taller and stronger athletes improved the physiological capacity of paddlers. Direct investigation on energy contribution in canoe sprint enhanced the emphasis on aerobic capacity and aerobic endurance training. Advancement of equipment design improved the efficiency of paddling. Physiological and biomechanical diagnostics in canoe sprint led to a more scientific way of training. Additionally, other aspects might also have contributed to the development of race results during the past decades. For example, the establishment of national team after World War II provided the possibility of systematic training, and the use of drugs in the last century accelerated the development of race results in that period. Recent investigations on energetics in high-intensity exercises demonstrated an underestimate of WAER % in the table provided by some textbooks since the 1960s. An exponential correlation between WAER % and the duration of high-intensity exercises was concluded from summarizing most of the relevant reports, including reports with different methods of energy calculation. However, when reports with the MAOD and Pcr-La-O2 methods were summarized separately, a greater overestimate of WAER % from MAOD was found compared to those from Pcr-La-O2, which was in line with the critical reports on MAOD. Because of the lack of investigation of the validity of the comparisons between MAOD and Pcr-La-O2, it is still not clear which method can generate more accurate results and which method is more reliable. With regard to kayaking, a range of variation in WAER % was observed. Many factors might contribute to the variation of WAER % in kayaking. Therefore, the methods utilized to calculate the energy contributions, different paddling conditions, and the level of performance were investigated in kayaking. The findings indicated that the method utilized to calculate the energy contributions in kayaking, rather than paddling condition and performance level of paddlers, might be the possible factor associated with WAER %. Some other possible factors associated with WAER % still need to be further investigated in the future. After verifying the dependence of WAER % on the method of energy calculation, but not on paddling condition and performance level of paddlers, energy contributions of kayaking were investigated for the three racing distances on a kayak ergometer with junior paddlers. Energetic profiles in kayaking varied with paddling distances. At 500 m and 1000 m the aerobic system was dominant (with WAER % of 57.8 % and 76.2 %), whereas at 200 m the anaerobic system was dominant (with WAER % of 31.1-32.4 %). Muscular volume seemed to have an influence on absolute energy productions. The anaerobic alactic system determined the performance during the first 5 to 10 s. The anaerobic lactic system probably played a dominant role during the period from the 5th-10th s to 30th-40th s. The aerobic system could dominate the energy contribution after 30–40 s. This energetic profile in kayaking could provide physiological support for developing the training philosophy in these three distances. Additionally, the method introduced by Beneke et al. seemed to be a valid method to calculate the energy contributions in maximal kayaking. Energy contributions in canoeing were similar to those in kayaking. The relative energy contributions on open water canoeing were 75.3 ± 2.8 % of aerobic, 11.5 ± 1.9 % of anaerobic lactic, and 13.2 ± 1.9 % of anaerobic alactic at maximal speed of simulated 1000 m. Further, the C of canoeing seemed also to be similar to the reported findings in kayaking, with a function of y = 0.0242 * x2.1225. Training programs could be designed similarly for kayaking and canoeing with regard to energetic profile. In order to extend the findings on energetics in canoe sprint to other exercises, energy contributions in kayaking, canoeing, running, cycling, as well as arm cranking were compared with the same duration. Results indicated that WAER % during maximal exercises with the same duration seemed to be independent of movement patterns, given similar VO2 kinetics during the maximal exertion. The exponential relationship between WAER % and duration in maximal exercises could be supported by excluding the influence from movement patterns. Additionally, MLSS in kayaking was investigated. The blood lactate value of MLSS was found to be 5.4 mM in kayaking, which could expand the knowledge of MLSS in different locomotion. The MLSS in kayaking might be attributed to the involved muscle mass in this locomotion, which could result in a certain level of lactate removal, and allow a certain level of equilibrium between lactate production and removal. LT5, instead of LT4, was recommended for diagnostics in kayaking, given an incremental test as used in this study.

We will extend the conjugacy problem of maximal toral subalgebras for Lie algebras of the form $\g{g} \otimes_k R$ by considering $R=k[t,t^{-1}]$ and $R=k[t,t^{-1},(t-1)^{-1}]$, where $k$ is an algebraically closed field of characteristic zero and $\g{g}$ is a direct limit Lie algebra. In the process, we study properties of infinite matrices with entries in a B\'zout domain and we also look at how our conjugacy results extend to universal central extensions of the suitable direct limit Lie algebras.

Primates are one of the best characterized phylogenies with vast amounts of comparative data available, including genomic sequences, gene expression, and epigenetic modifications. Thus, they provide an ideal system to study sequence evolution, regulatory evolution, epigenetic evolution as well as their interplays. Comparative studies of primate genomes can also shed light on molecular basis of human-specific traits. This dissertation is mainly composed of three chapters studying human and non-human primate evolution. The first study investigated evolutionary rate difference between sex chromosome and autosomes across diverse primate species. The second study developed an unbiased approach without the need of prior information to identify genomic segments under accelerated evolution. The third study investigated interplay between genomic and epigenomic evolution of humans and chimpanzees. Research advance 1: evolutionary rates of the X chromosome are predicted to be different from those of autosomes. A theory based on neutral mutation predicts that the X chromosome evolves slower than autosomes (slow-X evolution) because the numbers of cell division differ between spermatogenesis and oogenesis. A theory based on natural selection predicts an opposite direction (fast-X evolution) because newly arising beneficial mutations on the autosomes are usually recessive or partially recessive and not exposed to natural selection. A strong slow-X evolution is also predicted to counteract the effect of fast-X evolution. In our research, we simultaneously studied slow-X evolution, fast-X evolution as well as their interaction in a phylogeny of diverse primates. We showed that slow-X evolution exists in all the examined species, although their degrees differ, possibly due to their different life history traits such as generation times. We showed that fast-X evolution is lineage-specific and provided evidences that fast-X evolution is more evident in species with relatively weak slow-X evolution. We discussed potential contribution of various degrees of slow-X evolution on the conflicting population genetic inferences about human demography. Research advance 2: human-specific traits have long been considered to reside in the genome. There has been a surge of interest to identify genomic regions with accelerated evolution rate in the human genome. However, these studies either rely on a priori knowledge or sliding windows of arbitrary sizes. My research provided an unbiased approach based on previously developed “maximal segment” algorithm to identify genomic segments with accelerated lineage-specific substitution rate. Under this framework, we identified a large number of human genomic segments with clustered human-specific substitutions (named “maximal segments” after the algorithm). Our identified human maximal segments cover a significant amount of previously identified human accelerated regions and overlap with genes enriched in developmental processes. We demonstrated that the underlying evolutionary forces driving the maximal segments included regionally increased mutation rate, biased gene conversion and positive selection. Research advance 3: DNA methylation is one of the most common epigenetic modifications and plays a significant role in gene regulation. How DNA methylation status varies on the evolutionary timescale is not well understood. In this study, we investigated the role of genetic changes in shaping DNA methylation divergence between humans and chimpanzees in their sperm and brain, separately. We find that for orthologous promoter regions, CpG dinucleotide content difference is negatively correlated with DNA methylation level difference in the sperm but not in the brain, which may be explained by the fact that CpG depleting mutations better reflect germline DNA methylation levels. For the aligned sites of orthologous promoter regions, sequence divergence is positively correlated with methylation divergence for both tissues. We showed that the evolution of DNA methylation can be affected by various genetic factors including transposable element insertions, CpG depleting mutations and CpG generating mutations.

Background: Working within the military as a ground combat solider is very physically demanding. Soldiers are required to handle situations ranging from peacekeeping to counterinsurgency and combat, while faced with the task of load carriage either in form of the military gear or other additional loads. Therefore, a good aerobic and anaerobic fitness is necessary. The aerobic and anaerobic fitness can be assessed with a wide range is methods such as measuring the peak oxygen uptake (VO2peak), ventilator threshold, blood lactate concentration and heart rate. However research is rather spares regarding the effects of load carriage on the aerobic capacity. Aim: The aim of the current study was to investigate if military gear affects VO2peak, ventilatory threshold, blood lactate concentration and heart rate in ground combat soldiers. Methods: A total of eight soldiers (seven men and one woman) participated in the current study. All participants completed two biological calibrations and VO2max tests (one without and one with military gear) using a modified Bruce protocol, where VO2 (L/min), absolute and relative VO2peck (L/min and ml/kg/min respectively), heart rate (beats/min) and blood lactate concentration (mM/L) were assessed. After the completion of the tests, the soldier’s individual ventilatory threshold (VT) was visually located using the V-slope method. The Wilcoxon test was used for the not normally distributed variables (blood lactate concentration and stage when VT occurred) and the paired sample t-test for the others. The significance level was set to 0.05. Results: The results showed that the soldier had 10.6 % lower absolute VO2peak and 23.7 % lower relative VO2peak while wearing military gear compared to without (p=0.002 and p=0.001 respectively). The soldiers also had 11.8 % higher VO2 at VT with military gear (p=0.003) and reached a higher percentage of the VO2peak (p=0.023) at VT. The blood lactate concentration was significantly higher when marching at 5.4 km/h and a trend of a higher blood lactate concentration while standing was observed without military gear compared to with military gear. Conclusion: The findings from the present study shows that performing load carriage in form of the military gear significantly decreased the VO2peak. Wearing a military gear also increased the VO2 at the individual VT and made the soldier reach a higher percentage of the VO2peak at VT. These results can act as guidance when recruiting and training soldiers, along with providing important information to other professions and sports that involve load carriage.

Nous étudions le comportement de gels, transitoires auto-assemblés et réticulés permanents, soumis à des contraintes mécaniques extrêmes. D'une part, nous étudions la déformation biaxiale de nappes libres produites par impact d'une goutte liquide (Newtonienne ou viscoélastique) ou d’une perle de gel polymère sur des surfaces solides dans des conditions de dissipation minimale, obtenues soit avec une petite cible solide, soit avec une surface répulsive. Lors de l'impact, la goutte ou perle est transformée en une nappe mince qui s’étend et se rétracte sous l’action de forces de rappel élastiques. Pour les fluides viscoélastiques avec un temps de relaxation plus petit que la durée de vie typique de la nappe, la dynamique de la nappe viscoélastique est similaire à d’un liquide visqueux Newtonien de même viscosité. L’expansion maximale de la nappe diminue avec la viscosité et est modélisée quantitativement en utilisant un bilan énergétique entre l'inertie, la tension superficielle et la dissipation du cisaillement visqueux sur la cible solide, qui peut être prise en compte en mesurant une vitesse effective de la nappe à temps court, en sortie de cible. Nous montrons en outre que la dissipation visqueuse peut être sensiblement éliminée en utilisant une surface solide sur la base d'un effet de Leidenfrost inverse. Les expériences effectuées à l'aide de perles élastiques de modules élastiques variables, de gouttes liquides de tensions superficielles variables et de gouttes viscoélastiques révèlent un comportement universel pour l’expansion maximale de la nappe avec la vitesse d'impact, avec une dynamique analogue à celle d'un système ressort-masse conventionnel. Nous montrons en outre que, pour les gouttes qui impactent une petite cible solide, une description similaire peut être utilisée une fois que la dissipation visqueuse est prise en compte en remplaçant la vitesse d'impact par la vitesse effective. Un autre comportement fascinant des fluides viscoélastiques est l’expansion hétérogène de la nappe associée à l’apparition de fissures, révélant la nature élastique du fluide viscoélastique. D’autre part, nous étudions la déformation uniaxiale et la facture de filaments de doubles réseaux transitoires en couplant rhéométrie extensionnelle et imagerie rapide des filaments étirés. Nous établissons un diagramme d'état qui délimite le régime de du filament, lorsqu'il est étiré à un taux supérieur à l'inverse du temps de relaxation du plus lent des deux réseaux. Nous démontrons quantitativement que les processus de dissipation ne sont pas pertinents dans nos conditions expérimentales et que, suivant la densité des nœuds dans les réseaux, la rupture se produit dans le régime élastique linéaire, ou non linéaire précédé d'une augmentation considérable de la viscosité extensionnelle. L'analyse des profils d'ouverture des fissures indique, pour des réseaux faiblement connectés, des écarts par rapport à une forme parabolique en pointe de fissure, caractéristique d’une fracture fragile en régime linéaire. Nous montrons une corrélation directe entre l'amplitude de la déviation de la forme parabolique et le caractère non linéaire de la déformation élastique. / We investigate the behavior of transient self-assembled and permanently crosslinked gels subjected to extreme mechanical stresses. On the one hand, we study the dynamics of freely expanding sheets produced by impacting a (Newtonian or viscoelastic) liquid drop or a bead of polymeric gel on solid surfaces in minimal dissipation conditions, achieved using either a small solid target or a repellent surface. Upon impact, the drop or bead is transformed into a thin sheet that expands and retracts due to elasticity. For viscoelastic fluids with a relaxation time smaller than the typical lifetime of the sheet, the dynamics of the viscoelastic sheet is similar to that of Newtonian liquids with equal viscosity. The maximal expansion of the sheet decreases with the viscosity and is quantitatively modeled using an energy balance between inertia, surface tension and viscous shear dissipation on the solid target that can be accounted by measuring an effective velocity of the expanding sheet at short time scale. We further show that the shear dissipation can be substantially eliminated by performing impact experiments on a solid surface based on an inverse Leidenfrost effect. Experiments performed using elastic beads of various elastic moduli, viscoelastic or liquid drops of various surface tensions reveal a universal scaling behavior of the maximum expansion with the impact velocity, with a dynamics that mimics that of a conventional spring-mass system. We furthermore show that, for drops impacting a solid target, a similar scaling holds once the viscous dissipation is accounted by replacing the impact velocity with the effective velocity. Another fascinating behavior of viscoelastic fluids is a heterogeneous expansion of the sheet with the occurrence of cracks, revealing the elastic nature of the viscoelastic fluid. On the other hand, we study the uniaxial deformation and the fracture of reversible double transient networks by coupling extensional rheology to fast imaging. We provide a state diagram that delineates the regime of fracture without necking of the filament, when it is stretched at a rate larger than the inverse of the slowest relaxation time of the networks. We quantitatively demonstrate that dissipation processes are not relevant in our experimental conditions and that, depending on the density of nodes in the networks, fracture occurs in the linear elastic regime, or in a non-linear elastic regime preceded by a considerable strain hardening. In addition, analysis of the crack opening profiles indicates, for weakly connected networks, deviations from a parabolic shape close to the crack tip, which is expected for the linear elasticity of a brittle fracture. We demonstrate a direct correlation between the amplitude of the deviation from the parabolic shape and the amount of non-linear elasticity.

This thesis deals with a test of normality of gene expressions data. Based on characterization theorems of the normal distribution, the test of normality is replaced by a test of spherical uniformity. Due to strong correlations between the gene expression data, the normality test is conducted with $\delta$ sequences. A new characterization theorem of the normal distribution is proven. Based on that, the normality test is conducted using Kolmogorov's test statistic. The obtained characterization results for the normal distribution are extended to the complete type of distributions and based on that, a test is conducted to verify whether the distributions of the two data sets of the gene expressions belong to the same type. Powered by TCPDF (www.tcpdf.org)

Philosophiae Doctor - PhD (Mathematics) / The main theme of this thesis is the construction of linear codes from adjacency matrices or sub-matrices of adjacency matrices of regular graphs. We first examine the binary codes from the row span of biadjacency matrices and their transposes for some classes of bipartite graphs. In this case we consider a sub-matrix of an adjacency matrix of a graph as the generator of the code. We then shift our attention to uniform subset graphs by exploring the automorphism groups of graph covers and some classes of uniform subset graphs. In the sequel, we explore equal codes from adjacency matrices of non-isomorphic uniform subset graphs and finally consider codes generated by an adjacency matrix formed by adding adjacency matrices of two classes of uniform subset graphs.

Cette thèse porte sur des aspects structuraux et algorithmiques des graphes. Elle est divisée en deux parties, qui comportent deux études différentes : une partie sur des algorithmes centralisés-séquentiels, et une autre sur des algorithmes distribués. Dans la première partie, on étudie des aspects algorithmiques de deux structures de graphes appelés séparateurs minimaux et cliques maximales potentielles. Ces deux objets sont au coeur d'un méta-théorème dû à Fomin, Todinca and Villanger (SIAM J. Comput. 2015), qui affirme qu'une grande famille des problèmes d'optimisation peut être résolue en temps polynomial, si le graphe d'entrée contient un nombre polynomial de séparateurs minimaux. La contribution de cette partie consiste à prolonger le méta-théorème de Fomin et al. de deux manières : d'un côté, on l'adapte pour qu'il soit valide pour une plus grande famille des problèmes ; de l'autre, on étend ces résultats à des version paramétrées, pour certains paramètres des graphes. La deuxième partie de la thèse correspond à une étude du modèle appelé « Diffusion dans une Clique Congestionnée ». Dans ce modèle, les sommets d'un graphe communiquent entre eux dans des rondes synchrones, en diffusant un message de petite taille, visible par tout autre sommet. L'objectif ici est d'élaborer des protocoles qui reconnaissent des classes de graphes, en minimisant la taille des messages et le nombre de rondes. La contribution de cette partie est l'étude du rôle du hasard dans ce modèle, et la conception de protocoles pour la reconnaissance et la reconstruction des certaines classes des graphes. / This thesis is about structural and algorithmic aspects of graphs. It is divided in two parts, which are about two different studies: one part is about centralized-sequential algorithms, and the other part is about distributed algorithms. In the first part of the thesis we study algorithmic applications of two graph structures called minimal separators and potential maximal cliques. These two objects are in the core of a meta-theorem due to Fomin, Todinca and Villanger (SIAM J. Comput. 2015), which states that a large family of graph optimization problems can be solved in polynomial time, when the input is restricted to the family of graphs with polynomially many minimal separators. The contribution of this part of the thesis is to extend the meta-theorem of Fomin et al. in two ways. On one hand, we adapt it to be valid into a larger family of problems. On the other hand, we extend it into a parameterized version, for several graph parameters. In the second part of this thesis we study the broadcast congested clique model. In this model, the nodes of a graph communicate in synchronous rounds, broadcasting a message of small size visible to every other node. The goal is to design protocols that recognize graph classes minimizing the number of rounds and the message sizes. The contribution of this part is to explore the role of randomness on this model, and provide protocols for the recognition and reconstruction of some graph classes.

FARIAS, Pablo Mayckon Silva. O problema de ordenação de rodadas e problemas de otimização associados. 2013. 127 f. Tese (Doutorado em ciência da computação)- Universidade Federal do Ceará, Fortaleza-CE, 2013. / Submitted by Elineudson Ribeiro (elineudsonr@gmail.com) on 2016-07-20T12:44:36Z No. of bitstreams: 1 2013_tese_pmsfarias.pdf: 1600516 bytes, checksum: afaccc349ce6f2d065494cd2601913c0 (MD5) / Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2016-07-25T12:05:15Z (GMT) No. of bitstreams: 1 2013_tese_pmsfarias.pdf: 1600516 bytes, checksum: afaccc349ce6f2d065494cd2601913c0 (MD5) / Made available in DSpace on 2016-07-25T12:05:15Z (GMT). No. of bitstreams: 1 2013_tese_pmsfarias.pdf: 1600516 bytes, checksum: afaccc349ce6f2d065494cd2601913c0 (MD5) Previous issue date: 2013 / This thesis is composed of three well-delineated parts. In the first part, we introduce the round sorting problem (RSP), which models the minimization of the usage of buffer for the temporary storage of packets to be forwarded in TDMA communications of wireless mesh networks. We present a complete foundation for the definition of the RSP, and show that the problem is NP-hard for two theoretical models of radio interference known in the literature. A mixed integer programming formulation is also presented for a purely combinatorial and applicationindependent generalization of the RSP, the SMSP problem. In the second part of the work, we deal with problems about queries on insertions into sequences of numbers. Our main result in this part of the thesis is to show how, after a preprocessing step which runs in linear time on a sequence A of arbitrary real numbers, it is possible to compute in constant time the greatest sum of a (circular or not) contiguous subsequence of the sequence which results from the insertion of a given real number x into a given position p of A. In the third part of the thesis, we use the query algorithms from the second part to obtain an efficient implementation of the GRASP metaheuristic applied to the SMSP problem. An experimental analysis of this implementation is described, in which the values of the solutions returned by the metaheuristic are compared with those of the solutions obtained through the mixed integer formulation, in the case of small instances, and with the available lower bound, in the case of larger instances. / Esta tese é composta de três partes bem-delineadas. Na primeira parte, nós introduzimos o "problema de ordenação de rodadas" (POR), que modela a minimização do uso de memória ("buffer") para o armazenamento temporário de pacotes a serem repassados em comunicações TDMA de redes de rádio em malha. Nós apresentamos uma fundamentação completa para a definição do POR, e mostramos que o problema é NP-difícil para dois modelos teóricos de interferência de rádio conhecidos na literatura. Uma formulação de programação inteira mista é também apresentada para uma generalização puramente combinatória e independente de aplicação do POR, o problema SMSP. Na segunda parte do trabalho, nós abordamos problemas de consulta sobre inserções em sequências de números. O nosso principal resultado nesta parte da tese é mostrar como, após um passo de pré-processamento que executa em tempo linear sobre uma sequência "A" de números reais quaisquer, é possível computar em tempo constante a maior soma de uma subsequência contígua (circular ou não) da sequência que resulta da inserção de dado um número real "x" numa dada posição "p" de "A". Na terceira parte da tese, nós utilizamos os algoritmos de consulta da segunda parte para obter uma implementação eficiente da meta-heurística GRASP aplicada ao problema SMSP. Uma análise experimental dessa implementação é descrita, onde os valores das soluções retornadas pela meta-heurística são comparados com os das soluções obtidas pela formulação inteira mista, no caso de instâncias pequenas, e com o limite inferior disponível, no caso de instâncias maiores.