scholarly journals Matchings under distance constraints I.

Author(s):  
Péter Madarasi

AbstractThis paper introduces the d-distance matching problem, in which we are given a bipartite graph $$G=(S,T;E)$$ G = ( S , T ; E ) with $$S=\{s_1,\dots ,s_n\}$$ S = { s 1 , ⋯ , s n } , a weight function on the edges and an integer $$d\in \mathbb Z_+$$ d ∈ Z + . The goal is to find a maximum-weight subset $$M\subseteq E$$ M ⊆ E of the edges satisfying the following two conditions: (i) the degree of every node of S is at most one in M, (ii) if $$s_it,s_jt\in M$$ s i t , s j t ∈ M , then $$|j-i|\ge d$$ | j - i | ≥ d . This question arises naturally, for example, in various scheduling problems. We show that the problem is NP-complete in general and admits a simple 3-approximation. We give an FPT algorithm parameterized by d and also show that the case when the size of T is constant can be solved in polynomial time. From an approximability point of view, we show that the integrality gap of the natural integer programming model is at most $$2-\frac{1}{2d-1}$$ 2 - 1 2 d - 1 , and give an LP-based approximation algorithm for the weighted case with the same guarantee. A combinatorial $$(2-\frac{1}{d})$$ ( 2 - 1 d ) -approximation algorithm is also presented. Several greedy approaches are considered, and a local search algorithm is described that achieves an approximation ratio of $$3/2+\epsilon $$ 3 / 2 + ϵ for any constant $$\epsilon >0$$ ϵ > 0 in the unweighted case. The novel approaches used in the analysis of the integrality gap and the approximation ratio of locally optimal solutions might be of independent combinatorial interest.

10.37236/542 ◽  
2011 ◽  
Vol 18 (1) ◽  
Author(s):  
Sergio Cabello ◽  
David Eppstein ◽  
Sandi Klavžar

The Fibonacci dimension ${\rm fdim}(G)$ of a graph $G$ is introduced as the smallest integer $f$ such that $G$ admits an isometric embedding into $\Gamma_f$, the $f$-dimensional Fibonacci cube. We give bounds on the Fibonacci dimension of a graph in terms of the isometric and lattice dimension, provide a combinatorial characterization of the Fibonacci dimension using properties of an associated graph, and establish the Fibonacci dimension for certain families of graphs. From the algorithmic point of view, we prove that it is NP-complete to decide whether ${\rm fdim}(G)$ equals the isometric dimension of $G$, and show that no algorithm to approximate ${\rm fdim}(G)$ has approximation ratio below $741/740$, unless P$=$NP. We also give a $(3/2)$-approximation algorithm for ${\rm fdim}(G)$ in the general case and a $(1+\varepsilon)$-approximation algorithm for simplex graphs.


2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Te-Wei Ho ◽  
Ling-Chieh Kung ◽  
Hsin-Ya Huang ◽  
Jui-Fen Lai ◽  
Han-Mo Chiu

Abstract Background Late cancellations of physical examination has severe impact on the operations of a physical examination center since it is often too late to fill vacancy. A booking control policy that considers overbooking is then one natural solution. Unlike appointment scheduling problems for clinics and hospitals, in which treating a patient mostly requires only one type of resource, a physical examination set typically requires multiple types of resources. Traditional methods that do not consider set-resource relationship thus may be inapplicable. Methods We formulate a stochastic mathematical programming model that maximizes the expected net reward, which is the examination revenue minus overage cost. A complete search algorithm and a greedy search algorithm are designed to search for optimal booking limits for all examination sets. To estimate the late cancellation probability for each individual consumer, we apply logistic regression to identify significant factors affecting the probability. After clustering is used to estimate individual probabilities, Monte Carlo simulation is conducted to generate probability distributions for the number of consumers without late cancellations. A discrete-event simulation is performance to evaluate the effectiveness of our proposed solution. Results We collaborate with a leading physical examination center to collect real data to evaluate our proposed overbooking policies. We show that the proposed overbooking policy may significantly increase the expected net reward. Our simulation results also help us understand the impact of overbooking on the expected number of customers and expected overage. A sensitivity analysis is conducted to demonstrate that the benefit of overbooking is insensitive to the accuracy of cost estimation. A Pareto efficiency analysis gives practitioners suggestions regarding policy determination considering multiple performance indications. Conclusions Our proposed overbooking policies may greatly enhance the overall performance of a physical examination center.


2012 ◽  
Vol 5 (2) ◽  
pp. 109
Author(s):  
Besin Gaspar

This research deals with the development of  self concept of Hiroko as the main character in Namaku Hiroko by Nh. Dini and tries to identify how Hiroko is portrayed in the story, how she interacts with other characters and whether she is portrayed as a character dominated by ”I” element or  ”Me”  element seen  from sociological and cultural point of view. As a qualitative research in nature, the source of data in this research is the novel Namaku Hiroko (1967) and the data ara analyzed and presented deductively. The result of this analysis shows that in the novel, Hiroko as a fictional character is  portrayed as a girl whose personality  develops and changes drastically from ”Me”  to ”I”. When she was still in the village  l iving with her parents, she was portrayed as a obedient girl who was loyal to the parents, polite and acted in accordance with the social customs. In short, her personality was dominated by ”Me”  self concept. On the other hand, when she moved to the city (Kyoto), she was portrayed as a wild girl  no longer controlled by the social customs. She was  firm and determined totake decisions of  her won  for her future without considering what other people would say about her. She did not want to be treated as object. To put it in another way, her personality is more dominated by the ”I” self concept.


Metahumaniora ◽  
2017 ◽  
Vol 7 (3) ◽  
pp. 411
Author(s):  
Abu Bakar Ramadhan Muhamad

AbstrakHegemoni kolonialisme dalam budaya poskolonial merupakan alasan penelitian inikemudian mengkaji wacana kolonial dalam novel Max Havellar (MH) khususnya dampakditimbulkannya. Dampak dimaksud adalah posisi keberpihakan pemikiran tersirat darikarya tersebut. Hasil pembahasan menunjukkan, secara temporal maupun permanen MHmenyuarakan ketidakadilan dalam kondisi-kondisi kolonial menyangkut penindasan sangpenjajah terhadap terjajah. Hanya saja, upaya mengatasnamakan atau mewakili suarakaum terjajah terbukti mengimplikasikan ciri ideologis statis kerangka kolonialisme(orientalisme); yakni cara pandang Eropasentris, di mana “Barat” sebagai self adalah superior,dan “Timur” sebagai other adalah inferior. Dalam konteks poskolonialisme, MH dengan sifatkritisnya yang berupaya “menyuarakan” nasib pribumi terjajah, justru menampilkan stigmapenguatan kolonialitas itu sendiri secara hegemonik. Artinya, “menyuarakan” nasib pribumidimaknai sebagai keberpihankan kolonial yang kontradiktif, di mana stigma penguatankolonialitas justru lebih terasa, ujung-ujungnya melanggengkan hegemoni kolonial. Tidakmembela yang terjajah, tetapi memperhalus cara kerja mesin kolonial.AbstractThe hegemony of colonialism in the culture of postcolonial society is the reason this studythen examines the colonial discourse in the novel Max Havellar (MH) in particular the impactit brings. The impact in question is the implied position of thought in the work. The resultsof the discussion show that, temporarily or permanently, MH voiced injustice in the colonialconditions regarding the oppression of the colonist against the colonized. However, the effort toname or represent the voice of the colonized has proven to imply a static ideological characterin the framework of colonialism (orientalism); ie Eropacentric point of view, in which “West” asself is superior, and “East” as the other is the inferior. In the context of postcolonialism, MH withits critical nature that seeks to “voice” the fate of the colonized natives, actually presents thestigma of strengthening coloniality itself hegemonicly. That is, “voicing” the fate of the pribumiis interpreted as a contradictory colonial flare, where the stigma of strengthening colonialityis more pronounced, which ultimately perpetuates the hegemony of colonialism. No longerdefending the colonized, but refining the workings of the colonial machinery.


Metahumaniora ◽  
2018 ◽  
Vol 8 (3) ◽  
pp. 300
Author(s):  
Tania Intan ◽  
Trisna Gumilar

AbstrakPenelitian ini bertujuan untuk (1) mendekripsikan tanggapan pembaca terhadap novel Le Petit Prince (2) mendeskripsikan horizon harapan pembaca terhadap novel Le Petit Prince, dan (3) mendeskripsikan faktor-faktor penyebab perbedaan tanggapan dan horizon harapan pembaca. Penelitian ini termasuk jenis penelitian deskriptif kualitatif. Data penelitian berupa teks yang memuat tanggapan pembaca novel Le Petit Princeyang terdiri dari 20 orang, sedangkan sumber datanya berupa artikel dan makalah yang dimuat di media massa cetak dan elektronik termasuk internet. Instrumen penelitian berupa seperangkat konsep tentang pembaca, tanggapan pembaca, dan horizon harapan. Teknik pengumpulan data dengan cara observasi dan data dianalisis dengan menggunakan teknik deskriptif kualitatif. Hasil penelitian yang didapat sebagai berikut. (1) Seluruh pembaca menanggapi atau menilai positif unsur tema, alur, tokoh, latar, sudut pandang, gaya bahasa, teknik penceritaan, bahasa, dan isi novel Le Petit Prince. (2) Harapan sebagian besar pembaca sebelum membaca novel Le Petit Prince sesuai dengan kenyataan ke sembilan unsur di dalam novel Le Petit Prince, sehingga pembaca dapat dengan mudah menerima dan memberikan pujian pada novel Le Petit Prince. (3) Faktor penyebab perbedaan tanggapan dan horizon harapan pembaca selain perbedaan stressing unsur yang ditanggapi juga karena perbedaan pengetahuan tentang sastra, pengetahuan tentang kehidupan, dan pengalaman membaca karya sastra.Kata kunci: tanggapan pembaca, horizon harapan, Le Petit PrinceAbstractThis study aims to (1) describe reader’s responses to the novel Le Petit Prince (2) to describe the reader's expectations horizon of Le Petit Prince's novel, and (3) to describe the factors causing differences in responses and the horizon of readers' expectations. This research is a descriptive qualitative research type. The research data consist of a set of paragraphs that contains readers' responses to Le Petit Prince's novel, while the data sources are articles and papers published in print and electronic mass media including the internet. The research instruments are a set of reader concepts, reader responses, and expectations horizon. The technique of collecting data is observation and data are analyzed by using qualitative descriptive technique. The results obtained are as follow: (1) All readers respond and valuethe theme elements,plots, characters, background, point of view, language, titles, storytelling techniques, language, and extrinsic novel Le Petit Prince positively. (2) The expectations of most readers before reading Le Petit Prince's novels are in accordance with the nine facts in Le Petit Prince's novel, so readers can easily accept and give prise to Le Petit Prince's novel. (3) Factors causing differences in responses and horizon of readers' expectations other than the stressing differences of the elements being addressed also due to the differences in knowledge of literature, knowledge of life and literary reading experience. Keywords: readers responses, expectations horizon, Le Petit Prince


2020 ◽  
Vol 5 (3) ◽  
pp. 153-160
Author(s):  
Elmurod Tursunov ◽  

Some inappropriatenesses and defects on the issue of equivalence and adequacy in the translated version of the novel “Navoi” by Aybek are revealed in this article. These inappropriatenesses and defects are described in great detail with the help of examples and alternative translation variants are suggested, the problems of equivalence and adequacy in translation studies are researched from the scientific point of view, as well as, views and comments of the Uzbek and foreign translators and scientists are provided on theissue of the two concepts


2012 ◽  
pp. 66-80
Author(s):  
Michał Mrozowicki

Michel Butor, born in 1926, one of the leaders of the French New Novel movement, has written only four novels between 1954 and 1960. The most famous of them is La Modification (Second thoughts), published in 1957. The author of the paper analyzes two other Butor’s novels: L’Emploi du temps (Passing time) – 1956, and Degrés (Degrees) – 1960. The theme of absence is crucial in both of them. In the former, the novel, presented as the diary of Jacques Revel, a young Frenchman spending a year in Bleston (a fictitious English city vaguely similar to Manchester), describes the narrator’s struggle to survive in a double – spatial and temporal – labyrinth. The first of them, formed by Bleston’s streets, squares and parks, is symbolized by the City plan. During his one year sojourn in the city, using its plan, Revel learns patiently how to move in its different districts, and in its strange labyrinth – strange because devoid any centre – that at the end stops annoying him. The other, the temporal one, symbolized by the diary itself, the labyrinth of the human memory, discovered by the narrator rather lately, somewhere in the middle of the year passed in Bleston, becomes, by contrast, more and more dense and complex, which is reflected by an increasinly complex narration used to describe the past. However, at the moment Revel is leaving the city, he is still unable to recall and to describe the events of the 29th of February 1952. This gap, this absence, symbolizes his defeat as the narrator, and, in the same time, the human memory’s limits. In Degrees temporal and spatial structures are also very important. This time round, however, the problems of the narration itself, become predominant. Considered from this point of view, the novel announces Gerard Genette’s work Narrative Discourse and his theoretical discussion of two narratological categories: narrative voice and narrative mode. Having transgressed his narrative competences, Pierre Vernier, the narrator of the first and the second parts of the novel, who, taking as a starting point, a complete account of one hour at school, tries to describe the whole world and various aspects of the human civilization for the benefit of his nephew, Pierre Eller, must fail and disappear, as the narrator, from the third part, which is narrated by another narrator, less audacious and more credible.


Author(s):  
Anatoly S. Kuprin ◽  
Galina I. Danilina

The purpose of this study is the analysis of limit situation in the narrative of war. The material of the study is the novel of Daniil Granin “My Lieutenant” and related texts. In the first part of the paper, the authors explore existing approaches to the term “limit situation” and similar concepts into scientific and philosophical traditions; limits of its applicability in literary studies and its relation to the categories of “narrative instances” and “event”. Proposed a literary-theoretical definition of the limit situation, which can be used in the analysis of fiction texts. Existing approaches to the examination of the situation of war are analyzed: philosophical-existential, psychoanalytic, sociological, literary. In the second part of the paper, the authors propose their method for analyzing limit situations in texts about war, which basis on existing approaches and preserves the text-centric principle of studying the structure of the story. Two interrelated areas of research have been identified: the study of war as a continuous limit situation in the intertextual aspect (the discourse of war); the study of limit situations (death, suffering, guilt, accident) in the narrative of war as part of a specific text. In the third part of the scientific work,the analysis of war as a continuous limit situation results in the study of the concept of “limit” (border) in a fiction text. The role of “limit” (border) concept in the texts about the war is studied, the possible types of limits in the discourse of war are examined. Limit situations in the narrative of war are analyzed on the basis of the novel “My Lieutenant” by Daniil Granin. A review of journalistic and scientific works about the novel revealed both the continuity and the differences between the novel and the “lieutenant” prose of the 20th century. An analysis of the limit situations in the novel revealed their key position in the narrative. These situations are independent of the fiction time, of the fluctuation of the point of view’; the function of the abstract author is to build the narrative as a “directive” immersion of the hero and narrator in these situations.


2021 ◽  
Vol 11 (5) ◽  
pp. 2175
Author(s):  
Oscar Danilo Montoya ◽  
Walter Gil-González ◽  
Jesus C. Hernández

The problem of reactive power compensation in electric distribution networks is addressed in this research paper from the point of view of the combinatorial optimization using a new discrete-continuous version of the vortex search algorithm (DCVSA). To explore and exploit the solution space, a discrete-continuous codification of the solution vector is proposed, where the discrete part determines the nodes where the distribution static compensator (D-STATCOM) will be installed, and the continuous part of the codification determines the optimal sizes of the D-STATCOMs. The main advantage of such codification is that the mixed-integer nonlinear programming model (MINLP) that represents the problem of optimal placement and sizing of the D-STATCOMs in distribution networks only requires a classical power flow method to evaluate the objective function, which implies that it can be implemented in any programming language. The objective function is the total costs of the grid power losses and the annualized investment costs in D-STATCOMs. In addition, to include the impact of the daily load variations, the active and reactive power demand curves are included in the optimization model. Numerical results in two radial test feeders with 33 and 69 buses demonstrate that the proposed DCVSA can solve the MINLP model with best results when compared with the MINLP solvers available in the GAMS software. All the simulations are implemented in MATLAB software using its programming environment.


Sign in / Sign up

Export Citation Format

Share Document