<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">inform</journal-id><journal-title-group><journal-title xml:lang="ru">Информатика</journal-title><trans-title-group xml:lang="en"><trans-title>Informatics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1816-0301</issn><issn pub-type="epub">2617-6963</issn><publisher><publisher-name>UIIP NASB</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.37661/1816-0301-2020-17-2-86-102</article-id><article-id custom-type="elpub" pub-id-type="custom">inform-887</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL MODELING</subject></subj-group></article-categories><title-group><article-title>Алгоритмы планирования рабочего времени в условиях интервальной неопределенности</article-title><trans-title-group xml:lang="en"><trans-title>Algorithms for planning working time under interval uncertainty</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сотсков</surname><given-names>Ю. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Sotskov</surname><given-names>Yu. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сотсков Юрий Назарович, доктор физико-математических наук, профессор, главный научный сотрудник лаборатории математической кибернетики</p><p>Минск</p></bio><bio xml:lang="en"><p>Yuri N. Sotskov, Dr. Sci. (Phys.-Math.), Professor, Principal Researcher of the Laboratory of Mathematical Cybernetics</p><p>Minsk</p></bio><email xlink:type="simple">sotskov48@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Егорова</surname><given-names>Н. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Egorova</surname><given-names>N. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Егорова Наталья Геннадьевна, кандидат технических наук, старший научный сотрудник лаборатории математической кибернетики</p><p>Минск</p></bio><bio xml:lang="en"><p>Natalja G. Egorova, Cand. Sci. (Eng.), Senior Researcher of the Laboratory of Mathematical Cybernetics</p><p>Minsk</p></bio><email xlink:type="simple">NataMog@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Матвейчук</surname><given-names>Н. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Matsveichuk</surname><given-names>N. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Матвейчук Наталья Михайловна, кандидат физико-математических наук, доцент кафедры автоматизированных систем управления производством</p><p>Минск</p></bio><bio xml:lang="en"><p>Natalja M. Matsveichuk, Cand. Sci. (Phys.-Math.), Associate Professor of the Department of Automated Production Management Systems</p><p>Minsk</p></bio><email xlink:type="simple">matsveichuk@tut.by</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Объединенный институт проблем информатики Национальной академии наук Беларуси</institution></aff><aff xml:lang="en"><institution>The United Institute of Informatics Problems of the National Academy of Sciences of Belarus</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Белорусский государственный аграрный технический университет</institution></aff><aff xml:lang="en"><institution>Belarusian State Agrarian Technical University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>10</day><month>03</month><year>2020</year></pub-date><volume>17</volume><issue>2</issue><fpage>86</fpage><lpage>102</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сотсков Ю.Н., Егорова Н.Г., Матвейчук Н.М., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Сотсков Ю.Н., Егорова Н.Г., Матвейчук Н.М.</copyright-holder><copyright-holder xml:lang="en">Sotskov Y.N., Egorova N.G., Matsveichuk N.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://inf.grid.by/jour/article/view/887">https://inf.grid.by/jour/article/view/887</self-uri><abstract><p>Тайм-менеджмент используется для планирования доступного времени в соответствии с персональными целями и предпочтениями работника. Критерий эффективности тайм-менеджмента состоит в достижении поставленных целей за минимально возможное время. Предлагается краткий обзор публикаций по тайм-менеджменту. Показывается, как теория расписаний может использоваться в оптимальном планировании для тайм-менеджмента. Рассматривается задача построения оптимального расписания выполнения работником запланированных работ при условии, что при составлении расписания известны только нижняя и верхняя границы возможной длительности выполнения каждой из запланированных работ.</p><p>Разработаны программы для построения перестановки выполнения запланированных работ на основе построенных перестановок с наибольшим относительным полупериметром параллелепипеда оптимальности. Проведенный на компьютере вычислительный эксперимент показал эффективность предложенных алгоритмов при составлении расписаний для тайм-менеджмента.</p></abstract><trans-abstract xml:lang="en"><p>Time-management refers to planning the available time in correspondence with personal goals and preferences of the employee. The criterion for efficient time-management lies in achieving definite goals in minimum possible time. This paper presents a short review of the literature on time-management. It is shown how scheduling theory may be used for optimal planning in time-management. The problem of minimizing the total (average) weighted completion time of the planned jobs by an employee is considered provided that only lower and upper bounds of the possible processing time of each job are known before scheduling. Software for constructing a permutation of the given jobs with the largest relative semi-perimeter of the optimality parallelepiped has been developed. Computational experiment on the computer showed the effectiveness of the developed algorithms for constructing schedules for time-management.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>теория расписаний</kwd><kwd>тайм-менеджмент</kwd><kwd>один прибор</kwd><kwd>среднее время обслуживания требований</kwd><kwd>неопределенные длительности обслуживания требований</kwd></kwd-group><kwd-group xml:lang="en"><kwd>scheduling theory</kwd><kwd>time-management</kwd><kwd>single machine</kwd><kwd>average job completion time</kwd><kwd>uncertain job processing time periods</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">The relationship between time management and job performance in event management / N. L. Ahmad [et al.] // Procedia – Social and Behavioral Sciences. – 2012. – Vol. 65. – P. 937–941.</mixed-citation><mixed-citation xml:lang="en">Ahmad N. L., Yusuf A. N. M., Shobri N. D. M., Wahab S. The relationship between time management and job performance in event management. Procedia – Social and Behavioral Sciences, 2012, vol. 65, pp. 937–941.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Eilon, S. Time-management / S. Eilon // OMEGA Intern. J. of Management Sciences. – 1993. – Vol. 21, no. 3. – P. 255–259.</mixed-citation><mixed-citation xml:lang="en">Eilon S. Time-management. OMEGA International Journal of Management Sciences, 1993, vol. 21, no 3, pp. 255–259.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Sherwood, B. J. Personal time-management allows you to work smarter with less effort / B. J. Sherwood // Sherwood on Management. – 2005. – July/August. – P. 44–45.</mixed-citation><mixed-citation xml:lang="en">Sherwood B. J. Personal time-management allows you to work smarter with less effort. Sherwood on Management, 2005, July/August, pp. 44–45.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Jackson, V. P. Time management: a realistic approach / V. P. Jackson // J. of the American College of Radiology. – 2009. – Vol. 6, no.6. – P. 434–436.</mixed-citation><mixed-citation xml:lang="en">Jackson V. P. Time management: a realistic approach. Journal of the American College of Radiology, 2009, vol. 6, no 6, pp. 434–436.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Xu, J. Predicting homework time management at the secondary school level: a multilevel analysis / J. Xu // Leaning and Individual Differences. – 2010. – Vol. 20. – P. 34–39.</mixed-citation><mixed-citation xml:lang="en">Xu J. Predicting homework time management at the secondary school level: a multilevel analysis. Leaning and Individual Differences, 2010, vol. 20, pp. 34–39.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">MacCann, C. Strategies for success in education: time management is more important for part-time than full-time community college students / C. MacCann, G. J. Fogarty, R. D. Roberts // Leaning and Individual Differences. – 2012. – Vol. 22. – P. 618–623.</mixed-citation><mixed-citation xml:lang="en">MacCann C., Fogarty G. J., Roberts R. D. Strategies for success in education: time management is more important for part-time than full-time community college students. Leaning and Individual Differences, 2012, vol. 22, pp. 618–623.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Assessing time-management skills in terms of age, gender and anxiety levels: a study of nursing and midwifery students in Turkey / H. Kaya [et al.] // Nurse Education in Practice. – 2012. – Vol. 12. – P. 284–288.</mixed-citation><mixed-citation xml:lang="en">Kaya H., Kaya N., Palloş A. Ö., Küçük L. Assessing time-management skills in terms of age, gender and anxiety levels: a study of nursing and midwifery students in Turkey. Nurse Education in Practice, 2012, vol. 12, pp. 284–288.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">The assessment of time management in middle-school students / O. L. Liu [et al.] // Personality and Individual Differences. – 2009. – Vol. 47. – P. 174–179.</mixed-citation><mixed-citation xml:lang="en">Liu O. L., Rijmen F., MacCann C., Roberts R. The assessment of time management in middle-school students. Personality and Individual Differences, 2009, vol. 47, pp. 174–179.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Zampetakis, L. A. On the relationship between individual creativity and time management / L. A. Zampetakis, N. Bouranta, V. S. Moustakis // Thinking Skills and Creativity. – 2010. – Vol. 5. – P. 23–32.</mixed-citation><mixed-citation xml:lang="en">Zampetakis L. A., Bouranta N., Moustakis V. S. On the relationship between individual creativity and time management. Thinking Skills and Creativity, 2010, vol. 5, pp. 23–32.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Woolfolk, A. E. Time management: an experimental investigation / A. E. Woolfolk, R. L. Woolfolk // J. of School Psychology. – 1986. – Vol. 24. – P. 267–275.</mixed-citation><mixed-citation xml:lang="en">Woolfolk A. E., Woolfolk R. L. Time management: an experimental investigation. Journal of School Psychology, 1986, vol. 24, pp. 267–275.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Indreica, E.-S. Effects of learning styles and time management on academic achievement / E.-S. Indreica, A.-M. Cazan, C. Truta // Procedia – Social and Behavioral Sciences. – 2011. – Vol. 30. – P. 1096–1102.</mixed-citation><mixed-citation xml:lang="en">Indreica E.-S., Cazan A.-M., Truta C. Effects of learning styles and time management on academic achievement. Procedia – Social and Behavioral Sciences, 2011, vol. 30, pp. 1096–1102.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Macan, T. Will you remember to read this article later then you have time? The relationship between prospective memory and time management / T. Macan, J.M. Gibson, J. Cunningham // Personality and Individual Differences. – 2010. – Vol. 48. – P. 725–730.</mixed-citation><mixed-citation xml:lang="en">Macan T., Gibson J. M., Cunningham J. Will you remember to read this article later then you have time? The relationship between prospective memory and time management. Personality and Individual Differences, 2010, vol. 48, pp. 725–730.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Ho, B. Time management of final undergraduate English projects: supervisees’ and the supervisor’s coping strategies / B. Ho // System. – 2003. – Vol. 31. – P. 231–245.</mixed-citation><mixed-citation xml:lang="en">Ho B. Time management of final undergraduate English projects: supervisees’ and the supervisor’s coping strategies. System, 2003, vol. 31, pp. 231–245.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kelly, W. E. No time to worry: the relationship between worry, time structure, and time management / W. E. Kelly // Personality and Individual Differences. – 2003. – Vol. 35. – P. 1119–1126.</mixed-citation><mixed-citation xml:lang="en">Kelly W. E. No time to worry: the relationship between worry, time structure, and time management. Personality and Individual Differences, 2003, vol. 35, pp. 1119–1126.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Hund, P. M. Representation of time in digital calendars: an argument for a unified, continuous a multi-granular calendar view / P. M. Hund, J. Dowell, K. Mueller // Intern. J. of Human-Computer Studies. – 2014. – Vol. 72. – P. 1–11.</mixed-citation><mixed-citation xml:lang="en">Hund P. M., Dowell J., Mueller K. Representation of time in digital calendars: an argument for a unified, continuous a multi-granular calendar view. International Journal of Human-Computer Studies, 2014, vol. 72, pp. 1–11.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Smith, W. E. Various optimizers for single-stage production / W. E. Smith // Naval Research Logistics Quarterly. – 1956. – Vol. 3, no. 1. – Р. 59–66.</mixed-citation><mixed-citation xml:lang="en">Smith W. E. Various optimizers for single-stage production. Naval Research Logistics Quarterly, 1956, vol. 3, no 1, pp. 59–66.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">The optimality box in uncertain data for minimizing the sum of the weighted job completion times / T.-C. Lai [et al.] // Intern. J. of Production Research. – 2018. – Vol. 56, no. 19. – Р. 6336–6362.</mixed-citation><mixed-citation xml:lang="en">Lai T.-C., Sotskov Yu. N., Egorova N. G., Werner F. The optimality box in uncertain data for minimizing the sum of the weighted job completion times. International Journal of Production Research, 2018, vol. 56, no 19, pp. 6336–6362.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Sotskov, Yu. N. Single machine scheduling problem with interval processing times and total completion time objective / Yu. N. Sotskov, N. G. Egorova // Algorithms. – 2018. – Vol. 75. – P. 21–40.</mixed-citation><mixed-citation xml:lang="en">Sotskov Yu. N., Egorova N. G. Single machine scheduling problem with interval processing times and total completion time objective. Algorithms, 2018, vol. 75, pp. 21–40.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Allahverdi, A. Single machine scheduling problem with interval processing times to minimize mean weighted completion times / A. Allahverdi, H. Aydilek, A. Aydilek // Computers &amp; Operations Research. – 2014. – Vol. 51. – Р. 200–207.</mixed-citation><mixed-citation xml:lang="en">Allahverdi A., Aydilek H., Aydilek A. Single machine scheduling problem with interval processing times to minimize mean weighted completion times. Computers &amp; Operations Research, 2014, vol. 51, pp. 200–207.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Модели и комплекс программ для планирования рабочего времени / Ю. Н. Сотсков [и др.] // Информатика. – 2007. – № 4. – С. 23–36.</mixed-citation><mixed-citation xml:lang="en">Sotskov Yu. N., Egorova N. G., Matsveichuck N. M., Petrova E. A. Modeli i complex program dlya planirovaniya rabochego vremeni [Models and program package for optimal scheduling the working time]. Informatika [Informatics], 2007, no. 4, pp. 23–36 (in Russian).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
