A Memetic Algorithm for Multi Level Redundancy Allocation

A Memetic Algorithm for Multi Level Redundancy Allocation Abstract Reliability Redundancy allocation problem determines the component reliability and redundancy level for each subsystem in order to improve the system reliability. Redundancy allocation problem is NP-hard problem and hence various Heuristic and meta-heuristic approaches are being applied.[1] This paper proposes a memetic algorithm to solve the RAP problem. Although the real engineering experience deals with multi-level systems, in this paper prior assumptions are made such that the algorithm has been applied to single level systems. This proposed MA is then compared against the HGA of a two multi-level systems and the proposed MA has outperformed the HGA of two multi-level system. INTRODUCTION of Articles In this article, a new Memetic algorithm has been proposed to solve the Redundancy Allocation Problem which has attained great attention in recent years. Prior assumptions has been made in order to investigate the Multi-Level Redundancy Allocation problem and the three important assumptions are: If a unit is not at its lowest level then its child units are assumed to be serial and they are fixed. The second assumption is that the redundancy can be allocated to the units at any level and the final assumption is that the quality of each component is predefined and the cost and the reliability are calculated based on child units if and only if the unit is not a component. From the various literature review which has been carried out, it is found that there are few approaches to MLRAP and these are rarely being investigated. Genetic Algorithm and the modified Genetic Algorithm which is the Hierarchical Genetic Algorithm is although considered to be the significant approach for MLRAP, the effectiveness of these approaches can be improved. Thus for the improvement in these approaches, the new Memetic Algorithm has been proposed in this article. Memetic algorithm is a population based eta-heuristic search method which uses the combination of global search engines along with the local search heuristics. According to the article MA is more successful than the GA because of two key issues. One is the appropriate balance between the global and local search engines and the other is the cost effectiveness. In this article two new genetic operators and a new problem specific local search operator are incorporated in the MA framework and a new MA has been proposed for approaching the MLRAP. In this article, the parts of a multi-level serial system has been defined hierarchically at the topmost level and the sub system has been defined at the lower level and the components in the lowest level. As per the assumption made previously, there is fixed number of child units for each unit except a component. The redundancy allocation procedure always starts from the system level and moves to the component level for a multi-level serial system. The reliability of the multi-level serial system can be calculated using, While the reliability of the units at the lower level can be calculated on the basis of the components using, Also the cost for the multi-level serial system is calculated using, When applying the Conventional GA for solving MLRAP, the decision variables becomes in fixed number during problem solving. Whereas in MLRAP problem solving the decision variable changes due to the change in redundancy allocation to a unit. Hence to overcome this problem, a hierarchical structure has been proposed in the article which is capable of changing the decision variables. Nomenclature Explanation of the work presented in journal articles The proposed MA in the article has two types of operators which consists of the genetic operator for global explorations and the local search operator for exploitation. This section explains the articles you reviewed. In the proposed model, the quality of the solutions should be evaluated and from the literature the author of the article has pointed out many techniques to measure the quality of the solution out of which a penalty function which has been proposed by Gen and Cheng has been used to derive the fitness function to evaluate the quality of the solution during the search process. This fitness function is given by, ÃŽÂ ¨(x) is the penalty function which measures the extent of the solution violating the constraints. The initialization of the MA is generally done at the system level and it starts from generating the random population of solutions. For a system of multi-level series, K integer is generated randomly for n child unit n X k redundancy units have to be generated at the second level and goes on until an individual is obtained. Of the two proposed genetic operators, before being applied the hierarchical representation need to be selected. And hence the solution highly depends on type of the hierarchical representation being selected. Then the two genetic operators will be applied to the iteration and both the operator treat the unit or the system at the same level. Of the two genetic operators, the crossover between two individuals occurs in three steps. Initially an intermediate is selected from the system and component level and the higher level is being assigned higher probability. Finally the selected levels exchange their lower structures to give two new individuals. Whereas the mutation also occurs in three steps but is applied to individual level. The first two steps remains the same as the crossover and the third step is replacing the redundancy of the selected unit by a randomly generated integer. Also when changing the redundancy corresponding decision variable o the parent unit should also be updated. The other operator of the proposed MA is the local search operator. In the new MA proposed in the article, local search operator is implemented in three steps. The population solution are evaluated through the metric which is given by, Then a single individual is chosen from the population solution. The local search is carried out based on it. Then the individual with the higher metric is selected for local search. For an MLRAP, it is desired to have an optimal system for a higher reliability and the reliability to cost ratio serves as a measure to determine the potential of the individual solution. The local search operator randomly selects ten pairs of components and for each pair the redundancy of the components are modified and during this search newly generated individual will be stored in the archive if and only if it donot violate the cost constraint. Finally, the preserved inividual will be mixed with the population solution and arranged descendingly and the top most individuals will be used discarding others. Discussion of Contributions Two systems has been taken into consideration. One system with three levels and the other system with four levels. With this systems into consideration, the performance of the proposed MA is to be evaluated and compared with the performance of conventional HGA. Since there are a number of control parameters in both HGA and the proposed MA, there are some values which are to be preset before beginning the experiment. For fair process, the values which has been set for HGA is used as same for the proposed MA for problem A. In this experiment the aim is to study the convergence behavior of the proposed MA in order to compare it with HGA. The best solution obtained in each generation is recorded and the corresponding system reliability is calculated. It is seen that both the methods converged fast whereas the convergence of the proposed MA is significantly better than the convergence of the HGA which is shown in Fig 1. Fig:1 Comparison of convergence between HGA and MA for Problem A.[1] Furthermore the comparisons has been carried by varying the numerous cost constraints. 20 cost constraint values are varied between the intervals 150 to 340 leaving the system parameters unchanged. For every constraint values, MA and HGA were applied 10 times to each cost constraint. The observations are made for each and every run and the reliability and the cost constraints are calculated and compared between MA and HGA. From the calculative comparison, it is evident that the proposed new MA has outperformed the conventional HGA for problem A that is the system with three levels. The same kind of experiment is carried out for problem B to examine whether the advantage of MA holds a variety of system parameters. Similar to the problem A, ten test instances are obtained and the MA and HGA are applied to each instances for ten times. The convergence of MA is significantly better than the convergence of HGA which is shown below. Fig:2 Convergence of MA and HGA for problem 2[1] Since the same kind of experiment was done on problem B, the results were also quite the same. The proposed MA has outperformed the conventional HGA. Discussion of Dificiency and Potential Improvements The article being reviewed here discusses only about the multi-level serial system and the experimentation has been done considering this system alone. Changing the condition and the structure of the system changes the reliability and the cost function of the corresponding solution changes. Also the proposed MA gives significant reliability for the multi-level serial system, the proposed MA should also be extended to multi-level serial systems of complex structures. Also the problems which is being formulated in the article are single objective or are of only one goal of increasing the reliability of the system by having the cost reduction as only one constraint. Instead, in the future research, the problems can be formulated with multiple objective and multiple constraint along with the cost constraint. This type of approach with multiple objective problems will yield multiple solutions which has trade-off between the system reliability and cost constraint. Summary The RAP which has attained a global attention among the researchers motivating them to find the solution for the RAP. Though many algorithms, techniques and approaches have been proposed by many researchers around the world, there is something which can be improved in each and every approach proposed by researchers to solve the MLRAP. In this article, the author has given a detailed approach on how does a reliability problem works and formulated in a way that the problem deals with the multi-level serial system of simple structure. Upon formulating a problem, the author tries to make proper assumptions to advocate the formulated problem. Then the author just solves it with the conventional GA approach which yields a good system reliability. Then the problem is again solved with the new method. This new method is being proposed by the author is the novel Memetic Algorithm where some preconditioning is being done to the solution that is being selected form the population solution. The solution is checked for the quality by using a fitness function. Now the population solution will be initialized and the two search operators of the MA is applied to the selected and preserved solution from the population samples of solution. The solutions which are being obtained from the search operators are then being combined with the population and the best among them is selected. The process is repeated for various generations and the best individual will be selected as the solution for the MLRAP. Then the approaches are compared and it is found that the proposed MA has outperformed the conventional HGA irrespective of the type of multi-level serial system of same structure. Acknowledgments I would like to thank Dr. Wang,   fellow, IEEE, and Dr. Tang, fellow, IEEE and Dr. Yao, fellow, IEEE for their research study that was done by them to prepare the article, which helped me to understand the concept behind the RAP and MLRAP and the techniques used to solve or approach MLRAP. I would also like to express my Thanks to Dr. Pingfeng Wang, Graduate Coordinator in Wichita State University for his valuable advice which guided me through this project and helped me to complete this review successfully. References [1] Wang, Z., Tang, K., Yao, X. (2010). A memetic algorithm for multi-level redundancy allocation. IEEE Transactions on reliability, 59(4), 754-765. [2]  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚   Sharifi, M., Cheragh, G., Maljaii, K. D., Zaretalab, A., Daei, A. V. F., Vahid, A. (2015). RELIABILITY OPTIMIZATION OF A SERIES-PARALLEL K-OUT-OF-N SYSTEM WITH FAILURE RATE DEPENDS ON WORKING COMPONENTS OF SYSTEM. International Journal of Industrial Engineering, 22(4), 438-453.

Cultural Changes: the Effect on Art

Cultural Changes: The Effect on Art You’re an artist during WWI, bombs exploding everywhere, innocent people even children losing their lives, how will you express your intense anger and sadness towards the events that are taking place? The frustration towards war and other social, political or cultural changes can bring about different responses from different people. When it comes to art, art movements are created out of the need for people to communicate their reactions to these changes. Whether they admire them or despise them, their central goal is to show how they feel about them. I’m going to start out with the art movement Dadaism. This movement was roughly between the years of 1916-1924. Some of the major artists were Jean Arp, Marcel Duchamp, George Grosz, Francis Picabia and Man Ray. The Dadaism movement was a protest against the brutality of the War and the strictness in both art and everyday society (Dadaism, n. d. ). Artists were so fed up with everyday life that they did everything they could to go against the norm when it came to art. Whatever art stood for at the time, Dada represented the complete opposite. If art was intended to have a message, Dada went all out to have no meaning. With the order of the world destroyed by World War I, Dada was a way to express the confusion that was felt by many people as their world was turned upside down† (Dadaism, n. d. ). These artists used any public medium they could find to figuratively spit on nationalism, rationalism, materialism and any other -ism that they felt contributed to a senseless wa r (Esaak, n. d. ). They used this as a way to protest the war and other social injustices. They felt if society was going to handle problems by going to war, they didn’t want anything to do with society or its customs especially when it came to art. Using an early form of Shock Art, the Dadaists thrust mild obscenities, scatological humor, visual puns and everyday objects (renamed as â€Å"art†) into the public eye† (Esaak, n. d. ). One of the artists even painted a mustache on the Mona Lisa and made obscene notes underneath. The community was completely disgusted, which the artists found very encouraging because that was the reaction they were aiming for. Dada was planned to instigate an emotional reaction of shock or anger and once it no longer did, it became useless. My second movement is Futurism. This movement was roughly between the years of 1907-1944. Some of the major artists were Giacomo Balla, Umberto Boccioni, Kasimir Malevich, and Liubov Popova. â€Å"Futurism was presented as a modernist movement celebrating the technological, future era† (Futurism, n. d. ). These artists wanted to represent art in terms of the technological age. They hated middle class virtues and the ideas of the past. They also wanted to represent art completely different from the sappiness of Romanticism. Futurism glorified war and supported the development of Fascism. It criticized traditional conventionalism, demanded social changes, and pointed out all of the faults of a corrupt government (McLaughlin, n. . ). The Futurist painters used repetition of lines, wide range of angles, brilliant colors, and flowing brush strokes to create a dimension of time and the illusion of movement. (Futurism, n. d. ). Futurists thrived on the imitation of speed, noise, and machines (McLaughlin, n. d. ). It embraced everything that the new world was creating and used new techniques and technology to produce the work. The nature of futurism was intended to instigate public anger and amazement, to stimulate controversy, and to attract widespread attention (Pioch, 2002). My third movement is Fascism and Socialist Realism. This movement was roughly between the years of 1920-1940. The fascist building style conveyed power and control (Order from Stone, n. d. ). This is something that is completely characteristic of Nazi principles. It was also another way for Hitler to show his power to the world. The buildings needed to be impressive and intimidating to express Nazi ideals of order and strength (Order from Stone, n. d. ). Architects used stark facades with columns, pilasters, and clean lines on a massive scale to create a new aesthetic (Order from Stone, n. . ). â€Å"They cultivated an aesthetic of order, using minimal decoration and emphasizing straight lines† (Order from Stone, n. d. ). Symmetry was important to Hitler because this was believed to create the image of order. Hitler wanted the buildings to be resilient and noticeable representations of Nazi ideals. Hitler also worked with architects to create massive assembly halls and grounds where the German people could gather and show their patriotism during speeches and rallies. â€Å"Like all other forms of art during the Nazi regime, architecture was a tool of the state† (Order from Stone, n. . ). This architecture was just another way for the Nazis to control the lives of the German people. Fascism also showed itself in Socialist Realism. Some of the major artists were Semyon Chuikov, Sergei Gerasimov, Arkady Plastov, Sergei Merkurov, and Vera Mukhina. Socialist Realism was a type of art in Soviet Russia and other Communist countries that involved an objective reflection of real life to educate and inspire the masses, and an uncritical glorification of the State (Chilvers, 1999). This art movement portrays the working class as being heroic. Socialist Realism paintings were mostly of domestic scenes, portraits, landscapes, farms, and patriotic scenes. As for sculptures, the usual creation was of heroic statues. This art was severely restricted in form and content. It was also seen as a powerful propaganda tool and as long as it followed the guidelines set by the communist party, it was accepted. Finally during the Post War Era we have the Abstract Expressionism movement. This movement was roughly between the years of 1945-1965. Some of the major artists were Jackson Pollock, Mark Rothko, Helen Frankenthaler, Willem de Kooning, Philip Guston and Robert Motherwell. Abstract expressionism was specifically an American post-World War II art movement† (Abstract Expressionism, n. d. ). â€Å"After WWII, with images of the Holocaust everywhere, it seemed redundant for socially-aware artists to paint these same images when a photograph was much more powerful† (Abstract Expressionism, n. d. ). With so much death and d estruction after the war, artists wanted to focus on producing paintings that were more lively, fun, and colorful. Artists began to look at color and shape and were painting whole canvases orange or blue. These works were formed in a particular geographical setting and showed a specific attitude. Artists also paid close attention to the surface quality as well as texture and used large canvases. Abstract Expressionism emphasized the portrayal of emotions rather than objects and most painters favored large canvasses, dramatic colors, and loose brushwork (Art History: Abstract Expressionism, 2009). Artists of this movement wanted to give emphasis to the accident or chance in their paintings, but they mostly planned how they were going to carry it out. Therefore, artists took advantage of any mistakes that occurred during the painting process. Abstract Expressionist paintings consisted of shapes, lines, and forms meant to create a separate reality from the visual world† (Art History: Abstract Expressionism, 2009). Artists saw painting as an expression of emotion and as a way to visually communicate to the public. There are two types of Abstract Expressionism, Action Painting and Color Field Painting. Action painters wanted to show paint texture and the movement of the arti st’s hand. Color Field painters were concerned with color and shape in order to construct peaceful and spiritual paintings without the representation of a theme. The philosophy of Abstract Expressionism searches for answers to the questions of human existence and addresses personal psychological battles, the external struggle between man and nature, and the hunt for spiritual comfort† (Art History: Abstract Expressionism, 2009) In conclusion, we can see that these art movements were created out of the need for people to communicate their reactions to social changes. Whether they admired them or despised them, artists expressed their feelings about them in some way. Dadaism was a protest against the brutality of the War and other social injustices. Their paintings expressed an anti-war and anti-norm attitude. Futurism celebrated technology and thrived on speed, noise, and machines. It despised middle class virtues, ideas of the past, and Romanticism. The fascist building style needed to be impressive and intimidating to express order and strength. It was also a way to have complete control over the German people. Socialist Realism was meant to inspire the masses and glorify the state. During the post war era, abstract expressionism searched for answers to human existence and used a style meant to create a separate reality from the visual world. It wanted to get away from painting the harshness of the war and focused on expressing a more colorful, lively, and fun feeling. All of these movements are similar in that they were a response to the social, political, and cultural changes of the time. In addition, the artists intended to send a message to its viewers. These messages were meant to control the actions of or get a specific reaction from its audience. In some way or another, they all managed to accomplish this. ? Bibliography Abstract expressionism (Late 1940’s – early 1960’s). (n. d. ) Retrieved January 20, 2010, from http://www. untfor. com/arthistory/C20th/absexpress. htm Art history: Abstract expressionism: (1940-1955). (2009, September). Retrieved January 20, 2010 from http://wwar. com/masters/movements/abstract_expressionism. html Chilvers, I. (1999). Socialist realism: A dictionary of twentieth-century art. Retrieved February 14, 2010, from http://www. encyclopedia. com/doc/1O5-SocialistReali sm. html Dadaism(1916-1924). (n. d. ). Retrieved January 20, 2010, from http://www. huntfor. com/arthistory/C20th/dadaism. htm Esaak, S. (n. d. ). Dada – Art history 101 basics: The non-art movement (1916-23). Retrieved January 20, 2010, from http://arthistory. about. com/cs/arthistory10one/a/dada. htm Futurism (1909-1914). (n. d. ) Retrieved January 20, 2010, from http://www. huntfor. com/arthistory/C20th/futurism. htm McLaughlin, N. (n. d. ). Futurism art. Retrieved January 20, 2010, from http://virtualology. com/hallofartmovements/futurismart. com/ Order from stone: Nazi architecture. (n. d. ) Retrieved January 20, 2010, from http://sitemaker. umich. edu/artunderfascism/architecture Pioch, N. (2002, October). Futurism. Retrieved January 20, 2010, from http://www. ibiblio. org/wm/paint/glo/futurism/

Aeneas and Jesus Essay

Roman ideal of pietas which Virgil’s Aeneas embodies the observance of what is due to the gods and men, and obeying one’s destiny (fate) or calling. In Virgil’s The Aeneid, Aeneas has no choice but to be devoted to the gods, while Jesus in The New Testament choices freely to be devoted to one god. Religion for the Romans was very tied up in ideas of obligations, not only to the gods, but to one’s family and nation as well. Aeneas preserves his sanity and the lives of his men, by stopping his own anxieties and desires to the demands of fate and the rules of piety. Religion in The Aeneid also involves making sacrifices and prayers to the gods. The idea was if you did that, the gods might like you and help you. The thing is they might also ignore you and mess up your life for no reason. Thus, when Aeneas tells Dido, â€Å"I sail for Italy not of my own free will,† he doesn’t mean that his fate is forcing him to go there. He means that he has an obligation (duty) to go there, which he is choosing to live up to. On the other hand, Jesus believes in one god. Jesus is completely devoted to his God and goes around teaching society about how good his God is. In the New Testament, Jesus has people or a following fully committed and devoted to God. The four Gospels describe Jesus’s life until his resurrection, and the remainder of the New Testament concerns itself with the community of followers of Jesus that steadily grows after his death. Concluding, Aeneas and Jesus are two different characters who have given their devotion to their own Gods. It was Aeneas’s piety or duty to carry his family with him to follow his devotion to the Gods. In contrast, Jesus uses his free will to teach us to follow his God. Aeneas has to sacrifice his free will to devote to his Gods because it is his fate while Jesus sacrifices himself voluntarily. ?

Physics of Fireworks Essay - 2869 Words

After black powder was discovered by the Chinese in the 9th Century, the relatively short history of fireworks began with this explosive chemical composition. Black powder is made up of potassium nitrate, sulfur, and charcoal (KNO3); in the correct amounts, this combination has very explosive results. The use of black powder sprung forth the evolution of muskets, rockets, and fireworks. Although history has shown that the development of black powder muskets into modern day guns, artillery, and weapons of mass destruction have changed the face of the earth, taken many lives, and changed the outcome of many wars, black powder is also used in many rituals and celebrations. While traveling the globe, Marco Polo, fascinated by this black†¦show more content†¦This one thousand firework display was the biggest of its time; however, disastrous outcomes of this collaboration claimed the lives of two people and set fire to one females dress as the demonstration exploded before the show even started. Ironically, this catastrophic set-up was used as a model for the 1981 commemoration of the marriage between Prince Charles and Lady Diana Spencer. As music and fireworks progressed, the synchronized union between the fireworks display and a soundtrack was established. The French were the first to coordinate this masterpiece in Cannes, 1960. Today, fireworks are a multimillion dollar industry, producing over one million large ordinance fireworks per year. With modern technology, live video feed of demonstrations around the world link one unique display to the next. With the push to be the most original and unique, the future of firework displays are uncharted. The colors and effects most often seen today are inventions of this century. A major example is the development of colored displays. Before the 19th century, only various yellows and oranges could be produced with steel and charcoal. Basic reds and greens were added to the displays with the invention of chlorates along with good blues and purples late this century. The physics behind every large ordinance fireworks show is very involved and can range from vectors, velocities, trajectories, projectiles, and the directed force explosions from the shell. AllShow MoreRelatedStephen Hawking Essay1239 Words   |  5 Pagesearly age, Hawking showed a passion for science and the sky. At age 21, while studying cosmology at the University of Cambridge, he was diagnosed with amyotrophic lateral sclerosis. Despite his debilitating illness, he has done groundbreaking work in physics and cosmology and his several books have helped to make science accessible to everyone. 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