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Wallner Lines Analysis Essay

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Queuing Analysis Essay Research Paper email jjacksonjaguarirmiamiedutitle

Queuing Analysis Essay Research Paper email jjacksonjaguarirmiamiedutitle

Queuing Analysis Essay, Research Paper

email: jjackson@jaguar.ir.miami.edutitle: Queuing AnalysisQueuing analysis is the study of waiting lines, and the goal of queuing analysis is to minimize total costs of a business; that is, to minimize both the costs of maintaining the ability of providing service (i.e. cashiers in a supermarket), and the costs of customer waiting. Much of the success of a particular store, or restaurant can depend upon choosing the correct queuing model to minimize these costs. A queuing model for a particular business is chosen based upon four characteristics of the business’ system: the population source, the number of servers, arrival and service patterns, and the queue discipline (order of service). Population source describes the source from which a business draws its potential customers. As opposed to a finite source, in which the number of customers is limited, Leo’s Deli has an infinite source population. Their number of customers is potentially unlimited. Though it would be highly unlikely to happen, every member of the calling population (every student, faculty, and staff member of the school) can go to Leo’s and request service at one time. The number of servers refers to the number of people serving customers at a given time. For our purposes, servers working together as a team are counted together as one server. At Leo’s Deli, a team of a cashier, sandwich maker, and a wrapper will be counted as one server. For peak times, Leo’s utilizes a two lines, two server system. There is a separate line for each server. During non-peak times, Leo’s uses a one line, one server system. Waiting lines are a direct result of variability in customer arrival patterns. At some times, workers can be idle due to low arrivals, while at other times, the system can be overloaded due to bunched arrivals. Lines are most likely to occur when arrivals are bunched together, or when service times are particularly lengthy. For Leo’s Deli, the arrival rate is generally up during a 20-minute time frame right after the end of a class period. As for the queue discipline, Leo’s Deli employs a “first-come, first-served” philosophy. As stated before, Leo’s utilizes a two server / two line system during peak times. Peak times are defined as between 11am and about 2pm, with the busiest times between 12p-1:30p. During non-peak times, or on slow days, there is a one line

/ one server system. To describe their operations, a customer joins one of the lines, and waits in line until he gets to a cashier. There is no jockeying between lines, as there is a divider between the lines. Their order is taken, and the customer pays for his order. The customer then waits as the sandwich maker prepares his order. The finished sandwich is given to a wrapper, who slices and wraps the sandwich, and gives it to the customer, who then leaves.

Upon analysis of Leo’s over a four-day period during peak times, it was found that the average arrival rate is approximately 48 customers/hr. during peak time (approximately 4 customers every 5 minutes). Of course, this is for the whole kiosk (both lines combined), so the average arrival rate for each line is approximately 24 customers/hr. For our purposes, the time spent in line is defined as the time a customer joins the line, until the time he tells the cashier his order. The average time spent in line for each customer is about 1m 30s. It was found that this is independent of whether there is one line or two. Consequently, the service time is defined as the time the cashier takes an order, until the time the customer leaves the kiosk. The average service time was found to be about 2 minutes. A summary of all queuing rates and times appears below. Queuing Analysis for Leo’s Deli (Between 12p-2p)KEY:l = Arrival rate – The rate at which customers arrive, and enter the system at Leo’sm = Service rate – The rate at which a server/team can serve customersLq = no. of customers in lineLs = no. of customers in whole systemWq = amount of time customer waits in lineWs = amount of time customer waits in whole systeml (both lines) = 48 customers/hr.l (one line) = 24 customers/hr. m = 30 customers/hr. (All subsequent calculations are per 1 line)Lq = 3.2 customersLs = 4 customersWq (observed) = .025 hrsWq (calculated) = 0.13 hrsWs (calculated) = .166 hrsDuring the queuing analysis of Leo’s Delancy Street Deli, there were a couple of observations. First, customers tend to joining one line, so at times the kiosk turns into a one line, 2 server model. This situation is usually remedied quickly by the staff, as they make customers aware of the second line. Second, there is a large discrepancy between the observed time spent in line (1m 30s), and the calculated time spent in line (6m). The reason for this is currently unknown.

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Wrede R

Wrede R.C. Introduction to Vector and Tensor Analysis

New York: Dover Publications, 1972. - 434 p.

This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and other sciences.
The many and various topics covered include: the algebra of vectors — linear dependence and independence, transformation equations, the inner product, the cross product, and the algebra of matrixes; the differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation and associated concepts — surface representations, bases in general coordinate systems, and maxima and minima of functions of two variables; the integration of vectors — line integrals, surface integrals, surface tensors and volume integrals; tensor algebra and analysis — fundamental notions of n-space, transformations and tensors, Riemannian geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.
Throughout, Professor Wrede stresses the interrelationships between algebra and geometry, and moves frequently from one to the other. As he points out, vector and tensor analysis provides a kind of bridge between elementary aspects of linear algebra, geometry and analysis. He uses the classical notation for vector analysis, but introduces a more appropriate new notation for tensors, which he correlates with the common vector notation. He stresses proofs and concludes each section with a set of problems designed to help the student get a solid grasp of the ideas, and explore them more thoroughly on his own. His approach features a combination of important historical material with up-to-date developments in both fields. The knowledge of vector and tensor analysis gained in this way is excellent preparation for further studies in differential geometry, applied mathematics, and theoretical physics.

Ap Essay Prompt Fault Lines A Essay

Ap Essay Prompt Fault Lines A Essay

Ap Essay Prompt: Fault Lines A Essay, Research Paper

AP Essay prompt: Fault Lines Analysis

When the average person looks upon their past, they usually recall memories and facts that categorize them into a predefined group of people. Seldom can a person not find some sense of belonging in their lives, whether it be belonging to a culture, to a nation, or to a religion. The idea of not fitting in to any social group is a surreal one to say the least. Even so, that seems to be the tragic case brought to light by Meena Alexander in her 1993 autobiography entitled, Fault Lines. In this autobiography, Alexander uses a unique style of language that includes excellent diction and tone, among other rhetorical devices, to delve into her scattered and uncertain identity.

After reading the selected passage from Alexander’s autobiography, it’s hard to come away from it without a feeling of how much Alexander belittles herself in her work. Throughout the text Alexander uses many questions concerning her identity to show her lack of conviction as to who she really is. The angle from which she poses these questions tends to conjure an image of a person who has a low self-esteem. She seems so torn by her inability to define herself by her past that she gives off a general vibe of hopelessness. Though it is obviously only an exaggeration of her sorrow, she paints a picture in the reader’s mind of her having a deformed face. To her, not being able to piece together her identity makes her less of a person, so much in fact that she at one point thinks that she can define herself with a dictionary. As if any group of words, let alone a single definition, can adequately represent a human being. By setting such a negative tone in the passage, Alexander really invites the reader to sympathize with her. As the reader does this, they get closer to Alexander’s heart, thus allowing the reader to not only think about her problems, but to actually feel them too.

Though Alexander’s writing sounds like it’s straight from the heart, she obviously took some time to incorporate superb diction and other literary devices that heighten the readers experience even more. Her use of words like, “splintered”, “fractured”, “shards”, and “cracked” manifest her feelings of a shattered identity. In her mind, this identity is shattered into far too many pieces to allow for it to be put back together in any recognizable fashion. Alexander focused on the word fault when she attempted to define herself using the dictionary. To her this word is exceptional in that its two prominent meanings both apply directly to her. On one hand she sees herself as a defect or imperfection, on the other she sees herself as split in multiple directions. Alexander lists the various meanings of the word fault in the passage as well as listing a few other things. In listing all the languages she has learned and used and all the places she has lived, she further demonstrates that traditional thought processes cannot encompass her being. These lists are evidence of the jumbled masses of background information in her head that she just can’t find a way to form into her identity. Maybe her past is just too complex for her to be able to decipher it into a socially acceptable notion. Speaking of society, while Alexander portrays herself as utterly alone in her world of fractured identity, must not there be thousands, if not millions, of people who share her dilemma?

Clearly Alexander’s identity issues pose a great problem for her, so naturally they should be addressed as such. One cannot help wondering, though, what shaped this hopeless outlook of hers. The reader knows that there exist some peaceful memories in Alexander’s mind, memories that are not tainted with feelings of displacement and segregation, happy memories. Was it just that these memories are from a time before Alexander could contemplate a fractured identity, or is there some tidbit of information that the reader lacks? Either way, it’s hard to argue that Alexander’s style doesn’t provoke intense thought and provide the reader with valuable insight into issues otherwise seldom discussed in the everyday world.

YIELD LINE ANALYSIS

Essays about: "yield line analysis"

Showing result 1 - 5 of 18 essays containing the words yield line analysis.

1. Spatial assessment of NDVI as an indicator of desertification in Ethiopia using remote sensing and GIS

University essay from Lunds universitet/Institutionen för naturgeografi och ekosystemvetenskap

Abstract. Desertification is a serious environmental and socio-economic problem occurring at global, regional and local scale. According to Article 1(a) of the United Nations Convention to Combat Desertification (UNCCD), define the term “desertification” means “land degradation in arid, semi-arid and dry sub-humid (dry lands) areas resulting from various factors, including climatic variations and human activities”. READ MORE

2. Social capital and Economic growth

University essay from Lunds universitet/Nationalekonomiska institutionen

Abstract. The conversation about whether social capital has an implication on the growth of a country, has received increasing attention by economists in recent years. Research is now diverging from the belief that growth can only be explained by the traditional outputs such as capital, labor and natural resources. READ MORE

3. Sensitivity analysis of optimization. Examining sensitivity of bottleneck optimization to input data models

University essay from Högskolan i Skövde/Institutionen för ingenjörsvetenskap

Abstract. The aim of this thesis is to examine optimization sensitivity in SCORE to the accuracy of particular input data models used in a simulation model of a production line. The purpose is to evaluate if it is sufficient to model input data using sample mean and default distributions instead of fitted distributions. READ MORE

4. Inference of chromospheric magnetic fields with the Ca II 8542 line

University essay from Uppsala universitet/Teoretisk astrofysik

Abstract. Several techniques exist for retrieving and studying information about the properties of the Solar atmosphere from the polarization state of spectral lines. These are commonly called spectral diagnostics. READ MORE

5. Weld Quality in Aluminium Alloys

University essay from Uppsala universitet/Tillämpad materialvetenskap

Abstract. The aims of this project are to present an understanding in what happens when aluminium-(Al) alloys are welded, and to investigate how the Mg-, Si- and Cr-contents in AA6005A influence the weld strength and cracking susceptibility.It is known that heat from welding affects the mechanical properties (strength) of the material. READ MORE

Literary Analysis Essay

William Ernest Henley was born on August 23, 1849 in Gloucester, England. Henley was diagnosed with tuberculosis when he was twelve and suffered from this disease his whole life. In 1874, he was checked into the hospital because the tuberculosis had become very severe in his leg ("William Ernest Henley"). While in the hospital, Henley began writing a book of poems titled "In Hospital" (A Poet's Pride) and among the poems in this book was "Invictus". Invictus is a Latin word meaning "unconquered" (A Poet's Pride) and that is exactly what the peom talks about. In this poem, Henley captivates his readers with the hope of strength and optimism and takes them on a journey through his pain and resistance.

In the first stanza of " I nvictus ", Henley writes, "Out of the night that covers me, Black as the pit from pole to pole, I thank whatever gods may be, For my unconquerable soul." This is a clear demonstration of Henley's struggles. The "night" that is covering him is pain and grief ("William Ernest Henley). This could be a reference to the fact that Henley was in the hospital suffering from tuberculosis at the time that he wrote this poem. However he shows his strength by informing the reader of his "unconquerable soul." In this line, he conveys to the reader that he is strong and will fight through his struggles.

The second stanza of this poem states the following. "In the fell clutch of circumstance, I have not winced nor cried aloud." Henley is saying that he doesn't let his pain affect him openly. In a way, he suffered in silence. The next lines say "Under the bludgeonings of chance, My head is bloody but unbowed." Through these lines, the speaker leads the reader to understand that, by chance, he has been hurt by a terrible disease but he remains strong. He has been hurt but he holds his head high and doesn't let it command his life.

The third stanza of " In victus" talks about Henley facing horror and menace but remaining unafraid. This demonstrates Henley's courage when he faced hardships. He says, "Beyond this place of wrath and tears," referring to a place of hurt. He feels the depression and pain yet remains courageous and unafraid as he shows in lines eleven and twelve by saying, "And yet the menace of the years Finda, and shall find, me unafraid."

The last stanza of "Invictus" is known by most as the most powerful part of the poem. It reads, "It matters not how strait the gate, How charged with punishments the scroll, I am the master of my fate, I am the captain of my soul." These lines say Henley doesn't really care about how many punishments he will receive or how much he will suffer. He says that he is in charge of his fate and what is to come in his life. He says that he is "the captain of his soul" meaning that he commands his soul and his feelings.

This is a very powerful and famous poem that has influenced many people throughout the years. It has been interpreted in many different ways and quoted during many important events. It will always remain a part of our world's poetry.

William Ernest Henley was born on August 23, 1849 in Gloucester, England. Henley was diagnosed with tuberculosis when he was twelve and suffered from this disease his whole life. In 1874, he was checked into the hospital because the tuberculosis had become very severe in his leg ("William Ernest Henley"). While in the hospital, Henley began writing a book of poems titled "In Hospital" (A Poet's Pride) and among the poems in this book was "Invictus". Invictus is a Latin word meaning "unconquered" (A Poet's Pride) and that is exactly what the peom talks about. In this poem, Henley captivates his readers with the hope of strength and optimism and takes them on a journey through his pain and resistance.

In the first stanza of " I nvictus ", Henley writes, "Out of the night that covers me, Black as the pit from pole to pole, I thank whatever gods may be, For my unconquerable soul." This is a clear demonstration of Henley's struggles. The "night" that is covering him is pain and grief. This could be a reference to the fact that Henley was in the hospital suffering from tuberculosis at the time that he wrote this poem. However he shows his strength by informing the reader of his "unconquerable soul." In this line, he conveys to the reader that he is strong and will fight through his struggles.

The second stanza of this poem states the following. "In the fell clutch of circumstance, I have not winced nor cried aloud." Henley is saying that he doesn't let his pain affect him openly. In a way, he suffered in silence. The next lines say "Under the bludgeonings of chance, My head is bloody but unbowed." Through these lines, the speaker leads the reader to understand that, by chance, he has been hurt by a terrible disease but he remains strong. He has been hurt but he holds his head high and doesn't let it command his life.

The third stanza of " In victus" talks about Henley facing horror and menace but remaining unafraid. This demonstrates Henley's courage when he faced hardships. He says, "Beyond this place of wrath and tears," referring to a place of hurt. He feels the depression and pain yet remains courageous and unafraid as he shows in lines eleven and twelve by saying, "And yet the menace of the years Finda, and shall find, me unafraid."

The last stanza of "Invictus" is known by most as the most powerful part of the poem. It reads, "It matters not how strait the gate, How charged with punishments the scroll, I am the master of my fate, I am the captain of my soul." These lines say Henley doesn't really care about how many punishments he will receive or how much he will suffer. He says that he is in charge of his fate and what is to come in his life. He says that he is "the captain of his soul" meaning that he commands his soul and his feelings.

This is a very powerful and famous poem that has influenced many people throughout the years. It has been interpreted in many different ways and quoted during many important events. It will always remain a part of our world's poetry.

William Ernest Henley was born on August 23, 1849 in Gloucester. Henley was diagnosed with tuberculosis when he was twelve and suffered from this disease his whole life. In 1874, he was checked into the hospital because the tuberculosis had become very severe in his leg. While in the hospital, Henley began writing a book of poems titled "In Hospital" (A Poet's Pride) and among the poems in this book was "Invictus". Invictus is a Latin word meaning "unconquered" (A Poet's Pride) and that is exactly what the peom talks about. In this poem, Henley captivates his readers with the hope of strength and optimism and takes them on a journey through his pain and resistance.

In the first stanza of "invictus", Henley writes, "Out of the night that covers me, Black as the pit from pole to pole, I thank whatever gods may be, For my unconquerable soul." This is a clear demonstration of Henley's struggles. The "night" that is covering him is pain and grief. This could be a reference to the fact that Henley was in the hospital suffering from tuberculosis at the time that he wrote this poem. However he shows his strength by informing the reader of his "unconquerable soul." In this line, he conveys to the reader that he is strong and will fight through his struggles.

The second stanza of this poem states the following. "In the fell clutch of circumstance, I have not winced nor cried aloud." Henley is saying that he doesn't let his pain affect him openly. In a way, he suffered in silence. The next lines say "Under the bludgeonings of chance, My head is bloody but unbowed." Through these lines, William Henley leads the reader to understand that, by chance, he has been hurt by a terrible disease but he remains strong. He has been hurt but he holds his head high and doesn't let it command his life.

The third stanza of "invictus" talks about Henley facing horror and menace but remaining unafreaid. This demonstrates Henley's courage when he faced hardship. He says, "Beyond this place of wrath and tears," referring to a place of hurt. He feels the depression and pain yet remains courageous and unafraid as he shows in lines eleven and twelve by saying, "And yet the menace of the years Finda, and shall find, me unafraid."

The last stanza of "Invictus" is known by most as the most powerful part of the poem. It reads, "It matters not how strait the gate, How charged with punishments the scroll, I am the master of my fate, I am the captain of my soul." These lines say Henley doesn't really care about how many punishments he will receive or how much he will suffer. He says that he is in charge of his fate and what is to come in his life. He says that he is "the captain of his soul" meaning that he commands his soul and his feelings.

This is a very powerful and famous poem that has influenced many people throughout the years. It has been interpreted in many different ways and quoted during many important events. It will always remain a part of our world's poetry and culture.

A Ballad Analysis Essay Research Paper Has

A Ballad Analysis Essay Research Paper Has

A Ballad Analysis Essay, Research Paper Has the ancient tradition of ballads fallen prey to today?s modern society? One might think so. The truth, however, is the opposite. Ballads have thrived throughout many centuries and have influenced many types of music. Punk, Ska, and Hardcore bands such as Operation Ivy, Less Than Jake, H3O and All have capitalized on ballads as a form of lyrical expression. One such song. Numbered Days. a Mighty Mighty Bosstones song, written and composed by Dicky Barrett and Nate Albert, is a prime example. Numbered Days? tells the story of a Boston gang?s attack on an innocent man. This attack ends up being a homicide and only one member of the gang is caught. When questioned about the murder, the arrested man points the finger to his fellow

gang members. The other gang members are questioned and all deny ever being even in the vicinity of the murder, let alone assisting in it. The arrested man is tried, convicted and put on Death Row, while the other gang members are set free to cause more trouble. The theme of this ballad is a very simple one. Those who stick by you in times of trouble really are your friends. This ballad is a violent example of gang life and the consequences of such a life. There are several repetitive devices in ?Numbered Days. The main one being the repetition of the lines ?Time?s running out and the tables will turn. The days have been numbered and your number?s coming up. (lines 18-21, 23-26) Another repetition is of lines 9-10, 15-16, 43-44. However, the first line of the couplet is

altered to fit the progression of the story inside the ballad. The first stanza does seem to fit the traditional ballad stanza. The second and fourth lines rhyme, as do the first and third. In traditional ballads, the first and third lines of the stanza did not necessarily have to rhyme. There are many things that contribute to the overall tone and theme of the ballad. For instance, the lines ?Someone crossed their path at the worst time to do it. Toes to the temple and he didn?t live through it. (lines 11-14) seems to express the seriousness of the gang and the crime committed. In lines 20-21 and 25-26, one gets the impression that something is at a deadline or about to happen. This could quite possibly be a hint towards the convict?s position on Death Row or how close he is to

his turn in the electric chair. Lines 39-42 state the fact that, though this one criminal has been eliminated, there still are many out on the streets. Though the format is not completely traditional, Dicky Barrett and Nate Albert make use of and insert many traditional formats into the song, such as the rhyme scheme and subject matter. The modern aspects that the writers use includes the musical interpretation as well as interweaving issues faced in today?s world. Numbered Days? is not only an example of the uses of traditional and modern aspects of writing styles and ballads, but a powerful, emotional song that expresses feelings that even the people of the Middle Ages could relate to.

Introduction to Literary Analysis Essay at

Happy is England! I could be content


The common metre style in the Italien sonnet is the iambic (line 1-8). But in line 9, 11, 13 and 14 the iambic is interrupted by the trochaic style. These lines rhyme with each other (daughters,waters; clinging,singing) and show a hexametre instead of a pentametre.


The form of the sonnet shows us an end rhyme with an embracing rhyme scheme from line 1 to line 8 (abba). The next 6 lines have got different rhyme schemes witch I can not analyse (cde;dec) .

In line 2 and 3 as same as in line 10 and 11 I found an initial rhyme (to..no other; enough their).

Within line 7 the sonnet show an rich rhyme (upon-on-throne).

And within line 8 I found an identical rhyme (world-wordling).


In Line 2 and 3 the words follow one after another and have the same structure. This is called parallelism:

"To see no other verdure than its own;

To feel no other breezes than are blown"


"Happy is England" in line 1 and 9 represent an Inversion. The normal form would be England is happy. Same examples are in line 5 and 12("Yet do I").


Tasks of Literary Studies


Literary Studies investigate objects of literature on a scientific describtion level. That means, literary texts, authors, readers and the artificial speech of literature are going to be described and classified by theorys, methods and terms of Literary Studies by means of a technical language.


Forms of survey:

Survey of textcomponents and precisely describtion of textcharacteristics

several possibilitys to get the sense in or out of the text

interpretation of the text, discovery the meaning of the text and finally the representation


These three forms are different terms of the survey of a literary text. If they want to have the right to be scientific they must fulfil several important tasks:

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READ Consulting; Experience

Failure Analysis of Glass Cookware Glass Expert Performs Glass Failure Analysis of Glass Pie Plate

Introduction: A glass pie plate was being used to melt caramel. When being removed from the oven, it fractured and injured the user.

Objective: Perform a failure analysis to determine the root cause of the fracture.

Description: Figure #1 shows the failed glass cookware in the as received condition. All the pieces are held together by the hardened caramel.

Figure #1: Broken glass dish in the as received condition. All the pieces are covered with the hardened caramel.

1. Rinse all the pieces with warm water to dissolve the hardened sugar solution.

2. Reassemble the broken dish in order to find the failure origin.

3. Trace the fracture back to the origin.

4. Microscopically examine the origin to determine the cause of failure..

5. Evaluate other anomalies with respect to the dish failure.

Results: Figure #2 shows the re-assembled glass dish. The origin is at the top of the photo.

Figure #2: Photograph of the re-assembled dish. The failure origin is at the top of the photo. The "wandering" nature of the cracks leaving the origin indicates that the failure was driven by thermal stresses.

Figures 3 through 5 summarize the findings. The root cause of the failure was an oval shaped defect inside the glass.

Figure #3: Close-up of the region of the fracture origin.

Figure #4: Low power micrograph of the failure origin. This failure originated in the interior of the glass (Mag. 12X).

Figure #5: Low power micrograph of the failure origin. This failure originated in the interior of the glass. The Wallner lines emanate in all directions from an oval shaped defect. It appears that the defect is a collapsed bubble (seed) that did not "re-weld" (Mag. 40X).

Conclusion: The failure was a thermal crack that initiated at a flaw in the glass. The flaw appears to be a collapsed bubble in the glass. This is a manufacturing defect.

Additional Observation: There was a "cluster" of straight cracks. The fracture surfaces indicated that they were in regions where the glass surface compressive stresses in tensile stresses in the center (See Figure #6).

Figure #6: Photomicrograph of the type of fracture surface found on the straight cracks. The mist hackle in the center indicates significant tensile stresses in the center of glass. In addition, there are two sets of Wallner lines. This is similar to a "tempered glass" fracture surface, This crack traveled from right to left (Mag. 20X).