نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه مهندسی صنایع، واحد قزوین، دانشگاه آزاد اسلامی، قزوین، ایران.

2 استادیار، گروه مهندسی صنایع، واحد قزوین، دانشگاه آزاد اسلامی، قزوین، ایران.

چکیده

مراقبت سلامت خانگی، ارائه مجموعه‎‌‌ای از خدمات مراقبتی در منزل از پیشگیری تا توان‌بخشی و از مراقبت‎‌های اولیه تا خدمات حرفه‌ای پرستاری است. در این پژوهش یک مدل ریاضی دو‌هدفه بر اساس رویکرد برنامه‎ریزی خطی عدد صحیح مختلط برای مسئله مسیریابی و زمان‌بندی مراقبت‎ سلامت خانگی با اهداف حداقل‌سازی هزینه‌های سفر پرستاران و حداقل‌سازی حداکثر تفاوت‌های زمان کاری بین پرستاران ارائه شده است. درنظرگرفتن حالت‎‌های دوگانه حمل‌ونقل عمومی و خصوصی، مراکز درمانی آغازین و پایانی  و پنجره‌های زمانی بیمار و پرستار از ویژگی‌های مهم مدل ریاضی مسئله موردمطالعه است. پس از ارائه مدل ریاضی، مسائل اندازه کوچک با استفاده از روش محدودیت‌ اپسیلون و با بهره‌گیری از نرم‌افزار گمز حل شد؛ همچنین با توجه به پیچیدگی بالای مسئله از دو روش فراابتکاری الگوریتم ژنتیک مرتب‌سازی نامغلوب و الگوریتم بهینه‌سازی ازدحام ذرات چند‌هدفه برای حل مسئله در ابعاد متوسط و بزرگ بهره­ گرفته شد. نتایج آماری حاکی از عملکرد بهتر الگوریتم ژنتیک مرتب‌سازی نامغلوب در دو شاخص متوسط فاصله از نقطه ایده‌­آل و تعداد جواب‌های پارتو نسبت به الگوریتم بهینه‌سازی ازدحام ذرات چند‌هدفه در مسائل متوسط و بزرگ است. درمجموع نتایج شاخص‌ها نشان‌ می­‌دهد که الگوریتم ژنتیک مرتب‌سازی نامغلوب دارای عملکردی کارا و اثربخش در حل مسائل با اندازه‌های مختلف است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Meta-Heuristic Algorithms for Multi-Objective Home Health Care Routing and Scheduling Problem Considering Time Windows and Workload Balance of Nurses

نویسندگان [English]

  • Fahimeh Ghiasvand Ghiasi 1
  • Mehdi Yazdani 2
  • Behnam Vahdani 2
  • Abolfazl Kazemi 2

1 Ph.D Candidate, Department of Industrial Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.

2 Assistant Professor, Department of Industrial Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.

چکیده [English]

Home Healthcare provides a wide range of home care services from prevention to rehabilitation and primary care to professional nursing services. This research presents a two-objective mathematical model based on the mixed integer linear programming approach for the home healthcare routing and scheduling problem (HHCRSP) with the objectives of minimization the nurses’ travel costs and the maximal working time difference among nurses. Considering the multimodal transportation, several initial health centers and one final health center and patient and nurse time windows are important features of the studied mathematical model. Small-sized problems have solved by using the Ɛ-constraint method on GAMS software. Also, due to the NP-hardness of the problem, MOPSO and NSGA-II algorithms have used to solve the medium and large-sized problems. The statistical results showed that the NSGA-II performed better than the MOPSO for medium and large sizes of problems in both MID and NOS performance metrics. Overall, Results of the performance metrics on different sizes of problems indicate the efficient and effective performance of NSGA-II in solving the understudied problem.

کلیدواژه‌ها [English]

  • Home Health Care Problem
  • Routing and Scheduling
  • Mixed Integer Linear Programming
  • ɛ-Constraint Method
  • Multi-Objective Optimization, Multi-Objective Meta-Heuristic Algorithms
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