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Journal articles on the topic 'Ordering process'

Author: Grafiati

Published: 28 June 2021

Last updated: 10 February 2022

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1

Baccelli, François. "Stochastic ordering of random processes with an imbedded point process." Journal of Applied Probability 28, no. 3 (September 1991): 553–67. http://dx.doi.org/10.2307/3214491.

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We introduce multivariate partial orderings related with the Palm and time-stationary probabilities of a point process. Using these orderings, we give conditions for the monotonicity of a random sequence, with respect to some integral stochastic ordering, to be inherited with a continuous time process in which this sequence is imbedded. This type of inheritance is also discussed for the property of association.

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2

Baccelli, François. "Stochastic ordering of random processes with an imbedded point process." Journal of Applied Probability 28, no. 03 (September 1991): 553–67. http://dx.doi.org/10.1017/s0021900200042418.

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We introduce multivariate partial orderings related with the Palm and time-stationary probabilities of a point process. Using these orderings, we give conditions for the monotonicity of a random sequence, with respect to some integral stochastic ordering, to be inherited with a continuous time process in which this sequence is imbedded. This type of inheritance is also discussed for the property of association.

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3

Bryant, Jill. "Improving chemotherapy ordering process." Journal of Clinical Oncology 32, no. 30_suppl (October 20, 2014): 213. http://dx.doi.org/10.1200/jco.2014.32.30_suppl.213.

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213 Background: Chemotherapy ordering process can be unsafe and inefficient, putting patients at risk for medication errors. Documentation is essential in decreasing the incidence of errors with ordering and administration. The goal is to provide safe, efficient and quality care to oncology patients. Methods: The aim of the project was to decrease the number of deviations on the chemotherapy order forms by 50% within five months. Deviations identified were documentation inconsistency; checking of chemotherapy dosing at the provider level; and difficulty in updating the original order when changes were required. Large amount of time was spent in reconciling deviations. A multidisciplinary team collaborated on identifying root causes, such as, variances in completion of the forms, knowledge deficit of the ordering process, and staff accepting incomplete orders. Results: Order forms were reviewed and real time observations of the process were conducted. Data was collected on the types of deviations on the forms. The top three deviations were: 1. Lab values were not being completed within seven days; 2. Physician’s name and pager number were not provided; and 3. Order forms were missing the day of the chemotherapy cycle. Interventions included the education in entering complete and pertinent information on orders; institution of same day labs on day of visit; standardizing lab parameters; manual audits; and Nursing education regarding the acceptance of orders with deviations. Prior to intervention, 70% of the chemotherapy order forms had at least one deviation. At the five month evaluation, there was a reduction of 13%. Although a modest decrease, interventions continued. In follow-up, a random sample of orders was reviewed reflecting a reduction of 51%. Conclusions: Interventions continue with anticipation for further improvement in the chemotherapy ordering process. With decreasing the number of deviations, there will be an increase in safe, efficient and quality care for oncology patients. This project showed an initiative of improving a process to provide efficient care throughout the healthcare continuum. [Table: see text]

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Bryant-Bova, Jill N. "Improving Chemotherapy Ordering Process." Journal of Oncology Practice 12, no. 2 (February 2016): e248-e256. http://dx.doi.org/10.1200/jop.2015.007443.

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Purpose: Chemotherapy is a high-risk medication and is the second most common cause of fatal medication errors. The ordering process can be unsafe and inefficient, putting patients at risk for medication errors. The aim of this project was to decrease the number of chemotherapy order forms with at least one deviation by 50% within 5 months. Methods: A multidisciplinary team identified causes for variance in form completion, deficits in knowledge of ordering processes, and acceptance of incomplete orders by the staff. The Plan, Do, Study, Act improvement methodology evaluated the chemotherapy ordering process and found different types of deviations on order forms. Interventions consisted of educating physicians on entering complete information on orders, instituting same-day laboratory work on the day of the physician’s visit, standardizing laboratory parameters, performing audits of the order forms manually, and educating nurses on not accepting orders with deviations. Results: All order forms were reviewed, and data were collected on different types of deviations. The following deviations were identified: laboratory test results were not being entered into the order form within 7 days, physicians were not providing their name and pager number, and the days of the chemotherapy cycle were missing from the order forms. Before the intervention, 70.1% of the chemotherapy order forms had at least one deviation. After 5 months of interventions, there was a reduction of 19% in the number of order forms with at least one deviation. Follow-up at 6 months and 1 year showed continuing reductions in the number of chemotherapy orders with at least one deviation. Conclusion: Improvement was a result of collaboration between interdisciplinary departments. The original goal was surpassed as a result of educating physicians and staff and standardizing the ordering process. If the number of deviations in chemotherapy order forms is decreased, oncology patients will receive safe, efficient, and quality care.

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5

Takahashi, Shôichi, Shûzi Harada, and Shigeru Tamaki. "Ordering Process in FeNi3Alloy." Journal of the Physical Society of Japan 58, no. 6 (June 15, 1989): 2075–82. http://dx.doi.org/10.1143/jpsj.58.2075.

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6

Jean-Marie, Alain, and Zhen Liu. "Stochastic comparisons for queueing models via random sums and intervals." Advances in Applied Probability 24, no. 4 (December 1992): 960–85. http://dx.doi.org/10.2307/1427721.

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We consider the relationships among the stochastic ordering of random variables, of their random partial sums, and of the number of events of a point process in random intervals. Two types of result are obtained. Firstly, conditions are given under which a stochastic ordering between sequences of random variables is inherited by (vectors of) random partial sums of these variables. These results extend and generalize theorems known in the literature. Secondly, for the strong, (increasing) convex and (increasing) concave stochastic orderings, conditions are provided under which the numbers of events of a given point process in two ordered random intervals are also ordered.These results are applied to some comparison problems in queueing systems. It is shown that if the service times in two M/GI/1 systems are compared in the sense of the strong stochastic ordering, or the (increasing) convex or (increasing) concave ordering, then the busy periods are compared for the same ordering. Stochastic bounds in the sense of increasing convex ordering on waiting times and on response times are provided for queues with bulk arrivals. The cyclic and Bernoulli policies for customer allocation to parallel queues are compared in the transient regime using the increasing convex ordering. Comparisons for the five above orderings are established for the cycle times in polling systems.

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7

Singh, Harshinder, and Kanchan Jain. "Preservation of some partial orderings under Poisson shock models." Advances in Applied Probability 21, no. 03 (September 1989): 713–16. http://dx.doi.org/10.1017/s0001867800018929.

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Suppose each of the two devices is subjected to shocks occurring randomly as events in a Poisson process with constant intensity λ. Let Pk denote the probability that the first device will survive the first k shocks and let denote such a probability for the second device. Let and denote the survival functions of the first and the second device respectively. In this note we show that some partial orderings, namely likelihood ratio ordering, failure rate ordering, stochastic ordering, variable ordering and mean residual-life ordering between the shock survival probabilities and are preserved by the corresponding survival functions and .

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8

Singh, Harshinder, and Kanchan Jain. "Preservation of some partial orderings under Poisson shock models." Advances in Applied Probability 21, no. 3 (September 1989): 713–16. http://dx.doi.org/10.2307/1427647.

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Suppose each of the two devices is subjected to shocks occurring randomly as events in a Poisson process with constant intensity λ. Let Pk denote the probability that the first device will survive the first k shocks and let denote such a probability for the second device. Let and denote the survival functions of the first and the second device respectively. In this note we show that some partial orderings, namely likelihood ratio ordering, failure rate ordering, stochastic ordering, variable ordering and mean residual-life ordering between the shock survival probabilities and are preserved by the corresponding survival functions and .

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9

Jean-Marie, Alain, and Zhen Liu. "Stochastic comparisons for queueing models via random sums and intervals." Advances in Applied Probability 24, no. 04 (December 1992): 960–85. http://dx.doi.org/10.1017/s0001867800025039.

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We consider the relationships among the stochastic ordering of random variables, of their random partial sums, and of the number of events of a point process in random intervals. Two types of result are obtained. Firstly, conditions are given under which a stochastic ordering between sequences of random variables is inherited by (vectors of) random partial sums of these variables. These results extend and generalize theorems known in the literature. Secondly, for the strong, (increasing) convex and (increasing) concave stochastic orderings, conditions are provided under which the numbers of events of a given point process in two ordered random intervals are also ordered. These results are applied to some comparison problems in queueing systems. It is shown that if the service times in two M/GI/1 systems are compared in the sense of the strong stochastic ordering, or the (increasing) convex or (increasing) concave ordering, then the busy periods are compared for the same ordering. Stochastic bounds in the sense of increasing convex ordering on waiting times and on response times are provided for queues with bulk arrivals. The cyclic and Bernoulli policies for customer allocation to parallel queues are compared in the transient regime using the increasing convex ordering. Comparisons for the five above orderings are established for the cycle times in polling systems.

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10

Winch, Janice Kim, and Benjamin Avi-Itzhak. "Ordering of Tandem Constant-Service Stations to Minimize In-Process Stock Cost." Probability in the Engineering and Informational Sciences 9, no. 3 (July 1995): 457–73. http://dx.doi.org/10.1017/s0269964800003971.

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We study tandem ordering of constant-service stations with unlimited buffers where service at each station adds a certain value to the job. With the goal of minimizing the total expect value of the jobs in the system, we provide conditions under which some particular orderings are optimal and describe a heuristic that finds a near-optimal order for stations of arbitrary service lengths and added values.

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11

Kirmani, S. N. U. A., and Alan M. Polansky. "Multivariate process capability via Löwner ordering." Linear Algebra and its Applications 430, no. 10 (May 2009): 2681–89. http://dx.doi.org/10.1016/j.laa.2008.11.032.

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12

Takahashi, Y. K., M. Ohnuma, and K. Hono. "Ordering process of sputtered FePt films." Journal of Applied Physics 93, no. 10 (May 15, 2003): 7580–82. http://dx.doi.org/10.1063/1.1538174.

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13

Yamada, Y., K. Kitsuda, S. Nohdo, and N. Ikeda. "Charge and spin ordering process in the mixed-valence systemLuFe2O4:Charge ordering." Physical Review B 62, no. 18 (November 1, 2000): 12167–74. http://dx.doi.org/10.1103/physrevb.62.12167.

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14

Shaikh, B. S., R. B. Mowat, and D. D. Parr. "Chemotherapy ordering process: Safety and efficiency considerations." Journal of Clinical Oncology 22, no. 14_suppl (July 15, 2004): 6110. http://dx.doi.org/10.1200/jco.2004.22.14_suppl.6110.

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15

Shaikh, B. S., R. B. Mowat, and D. D. Parr. "Chemotherapy ordering process: Safety and efficiency considerations." Journal of Clinical Oncology 22, no. 14_suppl (July 15, 2004): 6110. http://dx.doi.org/10.1200/jco.2004.22.90140.6110.

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16

Welker, Gera A., and Jan de Vries. "Formalising the ordering process to achieve responsiveness." Journal of Manufacturing Technology Management 16, no. 4 (June 2005): 396–410. http://dx.doi.org/10.1108/17410380510594499.

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17

Chen, Yan, Dunji Yu, and Ke An. "Stress-induced charge-ordering process in LiMn2O4." Materials Research Letters 5, no. 2 (July 25, 2016): 89–94. http://dx.doi.org/10.1080/21663831.2016.1197858.

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18

Wu, Ann, Kathleen Mazor, Rachel Ceccarelli, Stephanie Loomer, and Christine Lu. "The Implementation Process for Pharmacogenomic Testing for Cancer-Targeted Therapies." Journal of Personalized Medicine 8, no. 4 (October 1, 2018): 32. http://dx.doi.org/10.3390/jpm8040032.

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Recent advances in genomic medicine have led to the availability of genomic tests that have the potential to improve population health, yet the process for obtaining these tests and getting them reimbursed by insurers has not been described. The objective of this study was to describe the process of ordering pharmacogenomic tests by interviewing providers, patients, and laboratories about cancer-related pharmacogenomic tests. We interviewed patients who were prescribed, providers who prescribed medications that should be guided by pharmacogenomic testing, and individuals from diagnostic laboratories. A total of 10 providers, 16 patients, and eight diagnostic laboratories described logistical and insurance issues relating to ordering and receiving pharmacogenomic tests and medications. We found that the process of ordering pharmacogenomic tests is time-consuming, expensive, and complex. Ordering pharmacogenomic tests is quite different across institutions. Even in the same institution, multiple providers can order the test. Once the provider places the order for the pharmacogenomic test, the laboratory receives the request and usually begins testing without knowing how the test will be paid for. Next, the laboratory completes the pharmacogenomic testing and the results of the tests are reported to providers, patients, or placed directly in the medical record. In conclusion, processes related to ordering and obtaining insurance coverage for pharmacogenomic tests varies greatly across institutions and is time-consuming.

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19

Conrado, Claudine V., and Tomas Bohr. "Ordering process in the diffusively coupled logistic lattice." Physica Scripta 44, no. 2 (August 1, 1991): 127–30. http://dx.doi.org/10.1088/0031-8949/44/2/002.

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20

Flanders, J., J. Grichor, J. Kuehn, D. Mabey, and J. Kerestes-Smith. "Automating a Tube Feeding and Nourishment Ordering Process." Journal of the American Dietetic Association 96, no. 9 (September 1996): A81. http://dx.doi.org/10.1016/s0002-8223(96)00595-0.

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21

Connolly, John H. "The constituent ordering process in Functional Discourse Grammar." Language Sciences 34, no. 4 (July 2012): 455–67. http://dx.doi.org/10.1016/j.langsci.2012.02.005.

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22

Mekata, M., and Y. Yamada. "Magnetic-ordering process in SrCr9(Ga-In)3O19." Canadian Journal of Physics 79, no. 11-12 (December 1, 2001): 1421–26. http://dx.doi.org/10.1139/p01-122.

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To investigate the anomalous magnetic properties of SrCr9xGa3+xO19, we synthesized SrCr9x(Ga0.95In0.05)3+xO19 compounds including the x = 0 compounds and carried out magnetic and µSR measurements. The results show clearly the insignificant role of the defects in the magnetic Cr lattice. Based on the results, a classical Heisenberg spin model, the plaquette-ordering model, is presented. Below 60 K, seven moments on a bi-tetrahedron plaquette correlate anti-ferromagnetically to give one moment, so that the Curie constant decreases to 1/9 at low temperatures. The surviving moments forming a triangular lattice do not exhibit long-range order due to frustration but the c-components of the moments are frozen randomly below Tf. The muoniums formed in the compound combine with the oxygen ions connecting Cr3+ ions and are subject to transferred hyperfine fields from Cr moments. This field is shielded by the electrons of the muonium so as to be hardly decoupled by external fields. PACS Nos.: 75.40Cx, 75.50Ee

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23

Wallace, Holly, Barbara Reilly, Joann Tonon, and Jeremy Miransky. "Improving the Blood Product Ordering to Administration Process." Journal of Nursing Care Quality 18, no. 1 (January 2003): 56–60. http://dx.doi.org/10.1097/00001786-200301000-00008.

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24

Isik, I., and A. R. Mileham. "Automated feature ordering for generative process planning systems." Expert Systems 9, no. 2 (May 1992): 89–94. http://dx.doi.org/10.1111/j.1468-0394.1992.tb00389.x.

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25

Barnabé, A., M. Hervieu, C. Martin, A. Maignan, and B. Raveau. "Modulated charge ordering process in Sm0.5Ca0.5Mn1−xCrxO3 manganites." Journal of Materials Chemistry 8, no. 6 (1998): 1405–11. http://dx.doi.org/10.1039/a800994e.

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26

Banerjee, Jayasri, Anup Kumar Bandyopadhyay, and Ajit Kumar Mandal. "Ordering of events in two-process concurrent system." ACM SIGSOFT Software Engineering Notes 32, no. 4 (July 2007): 1. http://dx.doi.org/10.1145/1281421.1281423.

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27

Joralemon, Donald. "Ordering chaos: the process of remembering mass murder." Mortality 20, no. 2 (April 3, 2015): 178–91. http://dx.doi.org/10.1080/13576275.2015.1008443.

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28

Gou, Xunjie, Zeshui Xu, and Wei Zhou. "MANAGING CONSENSUS BY MULTI-STAGE OPTIMIZATION MODELS WITH LINGUISTIC PREFERENCE ORDERINGS AND DOUBLE HIERARCHY LINGUISTIC PREFERENCES." Technological and Economic Development of Economy 26, no. 3 (February 24, 2020): 642–74. http://dx.doi.org/10.3846/tede.2020.12013.

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Preference ordering structures are useful and popular tools to represent experts’ preferences in the decision making process. In the existing preference orderings, they lack the research on the precise relationship between any two adjacent alternatives in the preference orderings, and the decision making methods are unreasonable. To overcome these issues, this paper establishes a novel concept of linguistic preference ordering (LPO) in which the ordering of alternatives and the relationships between two adjacent alternatives should be fused well, and develops two transformation models to transform each LPO into the corresponding double hierarchy linguistic preference relation with complete consistency. Additionally, to fully respect the experts’ expression habits and provide more refined solutions to experts, this paper establishes a multi-stage consensus optimization model by considering the suggested preferences represented in both the continuous scale and the discrete scale, and develops a multi-stage interactive consensus reaching algorithm to deal with multi-expert decision making problem with LPOs. Furthermore, some numerical examples are presented to illustrate the developed methods and models. Finally, some comparative analyses between the proposed methods and models and some existing methods have been made to show the advantages of the proposed methods and models.

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29

Rüschendorf, Ludger. "On a Comparison Result for Markov Processes." Journal of Applied Probability 45, no. 01 (March 2008): 279–86. http://dx.doi.org/10.1017/s0021900200004125.

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A comparison theorem is stated for Markov processes in Polish state spaces. We consider a general class of stochastic orderings induced by a cone of real functions. The main result states that stochastic monotonicity of one process and comparability of the infinitesimal generators imply ordering of the processes. Several applications to convex type and to dependence orderings are given. In particular, Liggett's theorem on the association of Markov processes is a consequence of this comparison result.

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30

Rüschendorf, Ludger. "On a Comparison Result for Markov Processes." Journal of Applied Probability 45, no. 1 (March 2008): 279–86. http://dx.doi.org/10.1239/jap/1208358968.

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A comparison theorem is stated for Markov processes in Polish state spaces. We consider a general class of stochastic orderings induced by a cone of real functions. The main result states that stochastic monotonicity of one process and comparability of the infinitesimal generators imply ordering of the processes. Several applications to convex type and to dependence orderings are given. In particular, Liggett's theorem on the association of Markov processes is a consequence of this comparison result.

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31

Kijima, Masaaki. "Hazard rate and reversed hazard rate monotonicities in continuous-time Markov chains." Journal of Applied Probability 35, no. 03 (September 1998): 545–56. http://dx.doi.org/10.1017/s002190020001620x.

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A continuous-time Markov chain on the non-negative integers is called skip-free to the right (left) if only unit increments to the right (left) are permitted. If a Markov chain is skip-free both to the right and to the left, it is called a birth–death process. Karlin and McGregor (1959) showed that if a continuous-time Markov chain is monotone in the sense of likelihood ratio ordering then it must be an (extended) birth–death process. This paper proves that if an irreducible Markov chain in continuous time is monotone in the sense of hazard rate (reversed hazard rate) ordering then it must be skip-free to the right (left). A birth–death process is then characterized as a continuous-time Markov chain that is monotone in the sense of both hazard rate and reversed hazard rate orderings. As an application, the first-passage-time distributions of such Markov chains are also studied.

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32

Kijima, Masaaki. "Hazard rate and reversed hazard rate monotonicities in continuous-time Markov chains." Journal of Applied Probability 35, no. 3 (September 1998): 545–56. http://dx.doi.org/10.1239/jap/1032265203.

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A continuous-time Markov chain on the non-negative integers is called skip-free to the right (left) if only unit increments to the right (left) are permitted. If a Markov chain is skip-free both to the right and to the left, it is called a birth–death process. Karlin and McGregor (1959) showed that if a continuous-time Markov chain is monotone in the sense of likelihood ratio ordering then it must be an (extended) birth–death process. This paper proves that if an irreducible Markov chain in continuous time is monotone in the sense of hazard rate (reversed hazard rate) ordering then it must be skip-free to the right (left). A birth–death process is then characterized as a continuous-time Markov chain that is monotone in the sense of both hazard rate and reversed hazard rate orderings. As an application, the first-passage-time distributions of such Markov chains are also studied.

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33

Zeitouni, O. "Superexponential decay for the GEM process." Journal of Applied Probability 35, no. 3 (September 1998): 776–81. http://dx.doi.org/10.1239/jap/1032265225.

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We show that the GEM process has strong ordering properties: the probability that one of the k largest elements in the GEM sequence is beyond the first ck elements (c > 1) decays superexponentially in k.

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Zeitouni, O. "Superexponential decay for the GEM process." Journal of Applied Probability 35, no. 03 (September 1998): 776–81. http://dx.doi.org/10.1017/s0021900200016429.

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We show that the GEM process has strong ordering properties: the probability that one of the k largest elements in the GEM sequence is beyond the first ck elements (c > 1) decays superexponentially in k.

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35

Cámara, Fernando, Jean-Claude Doukhan, M. Chiara Domeneghetti, and Michele Zema. "A TEM study of Ca-rich orthopyroxenes with exsolution products: implications for Mg-Fe ordering process." European Journal of Mineralogy 12, no. 4 (July 17, 2000): 735–48. http://dx.doi.org/10.1127/0935-1221/2000/0012-0735.

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36

Callahan, Thomas, and Daniel Smiley. "Resource Ordering and Tracking: Getting It Right in Exercises and Incidents." International Oil Spill Conference Proceedings 2014, no. 1 (May 1, 2014): 136–43. http://dx.doi.org/10.7901/2169-3358-2014.1.136.

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ABSTRACT Tracking resources and implementing an effective resource ordering process within the Incident Command Post can seemingly be as challenging as the task of recovering spilled oil during an incident. A key goal of resource ordering is to get the right resources to the right place at the right time in order to mount a successful response to the oil spill incident. Resource tracking is essential to accurately know how many of what resources have been ordered or have arrived and where they are. Therefore addressing the challenges associated with resource ordering is a key element to implementing an effective and efficient response. This paper examines the resource ordering and tracking process, highlights lessons learned from exercises and incidents, and translates those lessons learned into recommendations for the resource ordering process. This examination looks at the cutoff point between resources ordered during the initial OSRO callout and a more managed resource ordering process, applying Type and Kind to resources, use of the Resource Request Message (ICS 213RR) form, and integration with computer-based spill management tools. Lessons learned from exercises will be described and recommendations are put forward that may assist all elements of a spill management team (SMT) to efficiently and effectively order resources during exercises or actual incidents. A cohesive SMT that implements an effective resource tracking and ordering process will help ensure resource ordering does not slow the response, and the right resources get to the right place at the right time.

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37

Corradini, Flavio, and Rocco De Nicola. "ON FOUR PARTIAL ORDERING SEMANTICS FOR A PROCESS CALCULUS." Fundamenta Informaticae 27, no. 4 (1996): 349–83. http://dx.doi.org/10.3233/fi-1996-27402.

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38

Alon, Gil, and Gady Kozma. "Ordering the Representations of Sn Using the Interchange Process." Canadian Mathematical Bulletin 56, no. 1 (March 1, 2013): 13–30. http://dx.doi.org/10.4153/cmb-2011-147-2.

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AbstractInspired by Aldous' conjecture for the spectral gap of the interchange process and its recent resolution by Caputo, Liggett, and Richthammer, we define an associated order on the irreducible representations of Sn. Aldous' conjecture is equivalent to certain representations being comparable in this order, and hence determining the “Aldous order” completely is a generalized question. We show a few additional entries for this order.

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39

Sutherland, Alana E. "Evaluating the Benefits of an Updated Blood Ordering Process." American Society for Clinical Laboratory Science 30, no. 4 (October 2017): 219–23. http://dx.doi.org/10.29074/ascls.30.4.219.

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40

de Paula, V. G., C. Díaz Pomar, A. C. M. Padilha, and J. A. Souza. "Magnetic ordering contribution on diffusion process forming hollow materials." Solid State Ionics 339 (October 2019): 115000. http://dx.doi.org/10.1016/j.ssi.2019.115000.

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41

Zhou, Huan, Chuang Lin, and Yi Ping Deng. "Process Mining Based on Statistic Ordering Relations of Events." Advanced Materials Research 760-762 (September 2013): 1959–66. http://dx.doi.org/10.4028/www.scientific.net/amr.760-762.1959.

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An explicit process model is vital in business processes. However, it is complicated and time consuming to create a workflow design. Also discords usually occur between the perceived management processes and the actual workflow processes. Under this condition, the process discovery techniques emerge. The aim is to rebuild a workflow model (e.g. a Petri net) of a business process based on the execution log. The model should give an abstract representation of the system and reproduce the log. This model can be further applied for process redesign/improvement and performance/reliability evaluation. In this paper, we present a new algorithm derived from α-algorithm for process discovery in term of Petri nets, where statistic long distance causal relationship is taken into consideration. Also this algorithm covers some shortages in α-algorithm.

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42

Camarda, Kyle V., and Mark A. Stadtherr. "Frontal solvers for process engineering: local row ordering strategies." Computers & Chemical Engineering 22, no. 3 (February 1998): 333–41. http://dx.doi.org/10.1016/s0098-1354(97)00238-x.

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43

Miura, M., J. M. Hartmann, J. Zhang, B. Joyce, and Y. Shiraki. "Formation process and ordering of self-assembled Ge islands." Thin Solid Films 369, no. 1-2 (July 2000): 104–7. http://dx.doi.org/10.1016/s0040-6090(00)00845-2.

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44

Scott, Jennifer A. "Row ordering for frontal solvers in chemical process engineering." Computers & Chemical Engineering 24, no. 8 (September 2000): 1865–80. http://dx.doi.org/10.1016/s0098-1354(00)00565-2.

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45

Barbero, G., L. R. Evangelista, and M. P. Petrov. "Influence of the dimerization process on the nematic ordering." Physics Letters A 256, no. 5-6 (June 1999): 399–404. http://dx.doi.org/10.1016/s0375-9601(99)00257-1.

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RACHID, NASSIF, MOHAMMED NOUREDDINE, SAADOUNI KHALID, and BOUGHALEB YAHIA. "DYNAMIC OF SURFACE DIFFUSION PROCESS WITH PRESENCE OF ORDERING." International Journal of Modern Physics B 24, no. 22 (September 10, 2010): 4357–70. http://dx.doi.org/10.1142/s0217979210055305.

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Abstract:

A Monte Carlo simulation of the dynamics of diffusion process is presented in the framework of the lattice gas model. The considered lattice is of square geometry with lateral interaction energy between diffusive adsorbates. The paper is entirely devoted to first J FN and second J SN neighboring repulsive interactions with the ratio R=J SN /J FN in the [0, 1] interval. It is shown that repulsive second neighboring interaction allows emergency of new ordered phases at the coverages theta = 1/4 and 3/4 and induces anisotropy when R is greater than the magnitude 0.5. The present situation is similar to that of Sadiq and Binder, Surf. Sci.128, 350 (1985) except for the choice of transition probability. Particular attention is given to both the behavior of the tracer diffusion coefficient and to the static of the half-full lattice for which a complete phase diagram is derived from calculation of the apparent activation energy. Our dynamic calculations suggest that in the temperature range examined, the jump algorithm gives rise to acceptable results, even its criticable normalization factor.

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Pouncey, C. L. S., S. Heffner, D. M. Hefner, G. R. Lawson, E. F. Myers, and M. Chamberlain. "Improving the Equipment Ordering Process in Hospital Food Service." Journal of the American Dietetic Association 98, no. 9 (September 1998): A104. http://dx.doi.org/10.1016/s0002-8223(98)00678-6.

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Ismail, R., and I. I. Yaacob. "Thermally induced ordering process of stoichiometric nanocrystalline Ni3Al intermetallic." Materials Research Innovations 13, no. 3 (September 2009): 179–81. http://dx.doi.org/10.1179/143307509x437554.

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Yokojima, Y., and Y. Shiwa. "Ordering process in quenched block copolymers at low temperatures." Physical Review E 62, no. 5 (November 1, 2000): 6838–45. http://dx.doi.org/10.1103/physreve.62.6838.

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Leibrock, H., K. Grube, W. H. Fietz, S. I. Schlachter, K. P. Weiss, A. I. Rykov, S. Tajima, B. Obst, P. Schweiss, and H. Wühl. "Pressure dependence of the oxygen ordering process in RBa2Cu3Ox." Physica C: Superconductivity 341-348 (November 2000): 439–40. http://dx.doi.org/10.1016/s0921-4534(00)00532-3.

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