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Stochastic Cell Formation Problem within Queuing Theory and Considering Reliability | ||
Advances in Industrial Engineering | ||
مقاله 10، دوره 50، شماره 2، دی 2016، صفحه 279-293 اصل مقاله (1.03 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jieng.2016.60730 | ||
نویسندگان | ||
Parviz Fattahi* 1؛ Amir Saman Kheirkhah2؛ Bahman Esmailnezhad2 | ||
1Department of Industrial Engineering, Alzahra University, Tehran, Iran | ||
2Department of Industrial Engineering, Bu-Ali Sina University, Hamedan, Iran | ||
چکیده | ||
In this study, the stochastic cell formation problem with developing model within queuing theory with stochastic demand, processing time and reliability has been presented. Machine as server and part as customer are assumed where servers should service to customers. Since, the cell formation problem is NP-Hard, therefore, deterministic methods need a long time to solve this model. In this study, genetic algorithm and modified particle swarm optimization algorithm are presented to solve problems. Because the metaheurstic algorithms quality depends strongly on selected operators and parameters, design of experiment is done for set parameters. The deterministic method of branch and bound algorithm is used to evaluate the results of modified particle swarm optimization algorithm and the genetic algorithm.Evaluates indicate better performance of the proposed algorithms in quality the metaheurstic algorithms final solution and solving time in comparing with the method of Lingo software’s branch and bound. Ultimately, the results of numerical examples indicate that considering reliability has significant effect on block structures of machine-part matrixes. | ||
کلیدواژهها | ||
Cell formation problem؛ Queuing theory؛ reliability؛ Metaheurstic algorithm | ||
عنوان مقاله [English] | ||
مسئلۀ تشکیل سلول احتمالی با رویکرد نظریۀ صف و درنظرگرفتن قابلیت اطمینان | ||
نویسندگان [English] | ||
پرویز فتاحی1؛ امیر سامان خیرخواه2؛ بهمن اسمعیل نژاد2 | ||
1دانشیار مهندسی صنایع، دانشگاه الزهرا | ||
2دانشیار مهندسی صنایع، دانشگاه بوعلی سینا | ||
چکیده [English] | ||
در این تحقیق مسئلة تشکیل سلول احتمالی با توسعة مدلی در چارچوب نظریة صف با پارامترهای احتمالیِ تقاضا، زمان پردازش و قابلیت اطمینان مطرح شده است. در اینجا، ماشین خدمتدهنده محسوب میشود و قطعه مشتری فرض میشود. بهدلیل NP-Hard بودن مسئلة تشکیل سلول، بهکاربردن روشهای دقیق به زمان بسیار طولانی برای حل نیاز دارند. در این پژوهش، الگوریتم ژنتیک و بهینهسازی تودة ذرات تعدیلشدهای برای حل ارائه شده است و ازآنجا که کیفیت الگوریتمهای فرا ابتکاری تا حد زیادی به پارامترها و عملگرهای انتخابی بستگی دارد، برای تنظیم پارامترها از تکنیک طراحی آزمایشها استفاده میشود. برای ارزیابی عملکرد نتایج الگوریتم فرا ابتکاری تودة ذرات تعدیلشده و الگوریتم ژنتیک از روش قطعی شاخه و کران نرمافزار لینگو استفاده شده است. بررسیها نشاندهندة کارایی بهتر الگوریتمهای فرا ابتکاری ارائهشده از لحاظ کیفیت جواب نهایی و زمان حل در مقایسه با روش شاخه و کران نرمافزار لینگو است. درنهایت، نتایج مثالهای عددی نشاندهندة تأثیر معنادار درنظرگرفتن قابلیت اطمینان، روی ساختار بلوکهای ماشین- قطعه است. | ||
کلیدواژهها [English] | ||
الگوریتم فرا ابتکار, قابلیت اطمینان, مسئلة تشکیل سلول, نظریة صف | ||
مراجع | ||
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