On the problem of efficient task distribution among available equipment during the elimination of emergency situations
Abstract
Purpose: To construct a mathematical model of the problem of efficient task distribution among available equipment at a single recovery site, develop an algorithm for solving such problems, and generate a set of efficient solutions using a specific example.
Method: The constructed model represents a linear programming problem with two quality indicators: time and cost of task execution. For the considered problem, a set of admissible work volumes for each excavator complex is constructed, which forms a segment in space. As a numerical example, a problem with three types of excavators is considered. To solve it, a program for calculations in the Maple analytical computation system is developed, which determines the set of efficient solutions and establishes the graphical and analytical relationship between the cost of work execution and the time spent on it.
The results of the study: The mathematical model has been constructed for the problem of efficient task distribution among available equipment at a single recovery site. The algorithm has been developed to solve problems of this type, and a set of efficient solutions has been generated.
Theoretical implications: The results of the conducted research are beneficial for application in planning the restoration work of transportation infrastructure objects and critical infrastructure objects associated with the movement of large volumes of earth masses.
Value: The study presents a mathematical model for the problem of efficient task distribution among available equipment at a single recovery site during the elimination of emergency situations. The model takes into account the specified quantities of excavator types and each type's constraint on the number of transportation vehicles, which affects the idle time of the latter.
Limitations of the study: The limitation of the study lies in the usage of information that is freely available.
Papertype: theoretical.
Downloads
References
Pro Derzhavnu spetsialʹnu sluzhbu transportu: Zakon Ukrayiny 05.02.2004 № 1449-IV. Available from : https://zakon.rada.gov.ua/laws/show/1449-15#Text
Bosov A. A. Formuvannya variantiv ratsionalʹnoyi merezhi liniy vysokoshvydkisnoho rukhu poyizdiv v Ukrayini [Formation of options for a rational network of high-speed train lines in Ukraine]: monohrafiya, 2004. 144 p.
Bosov A. A. (2004). Nauchnye osnovy reshenyya zadach problemy obnovlenyya lokomotyvnoho parka zheleznykh doroh Ukrayny [Scientific basis for solving the problem of the renewal of the locomotive fleet of Ukrainian railways], 2004. 382 p.
Hlavatsʹkyy K. TS. (2008). Orhanizatsiya protsesu ushchilʹnennya vidsypanoyi pryzmy zemlyanoho polotna komplektom mashyn [Organization of the process of compaction of the loose ground surface prism with a set of machines]. Pidyomno-transportna tekhnika, 2, p. 62 – 69.
Horyayinov O. M. Transportni tekhnolohiyi i lohistyka. Knyha 1. Teoriya i praktyka dystsypliny “Vantazhni perevezennya” (dlya transportnykh tekhnolohiv) [Transport technologies and logistics. Book 1. Theory and practice of the discipline “Freight transportation” (for transport technologists)], 2013. 490 p.
Bohomaz V. M., Petrunʹko V. O. (2022). Pro odnoridnu zadachu efektyvnoho rozpodilu obʺyemiv robit dlya ekskavatornykh kompleksiv pidpryyemstva [On the homogeneous task of effective distribution of work volumes for the enterprise's excavator complexes]. Tezy 1-oyi Vseukrayinsʹkoyi naukovoyi konferentsiyi «Lohistyka i transportna bezpeka: problemy ta perspektyvy rozvytku v konteksti analizu suchasnykh vyklykiv, zahroz», 28 zhovtnya 2022, s. 105-108.
Bohomaz V. M., Borenko M. V., Borysenko A. M. (2022). Alhorytm pobudovy efektyvnoho rozpodilu obʺyemiv robit dlya tekhniky pidpryyemstva. Matematychne i prohramne zabezpechennya intelektualʹnykh system [Algorithm for building an effective distribution of work volumes for the company's equipment. Mathematical and software support of intelligent systems], P. 36-37.
Taktyko-spetsialʹna pidhotovka. [Tactical and special training]. Мetod. rekomendatsiyi dlya provedennya praktychnykh zanyatʹ ta vykonannya kursovoyi roboty «Orhanizatsiya ta tekhnichne zabezpechennya robit iz vidnovlennya obʺyektiv natsionalʹnoyi transportnoyi systemy». 2021. P.1., 45 p., P.2., 27 p.
Abstract views: 63 PDF Downloads: 105
Copyright (c) 2023 Сергій Бісик, Володимир Богомаз, Олег Арістархов, Микола Боренко, Андрій Борисенко
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors agree with the following conditions:
1. Authors retain copyright and grant the journal right of first publication (Download agreement) with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
2. Authors have the right to complete individual additional agreements for the non-exclusive spreading of the journal’s published version of the work (for example, to post work in the electronic repository of the institution or to publish it as part of a monograph), with the reference to the first publication of the work in this journal.
3. Journal’s politics allows and encourages the placement on the Internet (for example, in the repositories of institutions, personal websites, SSRN, ResearchGate, MPRA, SSOAR, etc.) manuscript of the work by the authors, before and during the process of viewing it by this journal, because it can lead to a productive research discussion and positively affect the efficiency and dynamics of citing the published work (see The Effect of Open Access).
