گسترش‌ها و الگوریتم‌های مساله مسیریابی وسیله نقلیه وسایل نقلیه آمیخته
محورهای موضوعی : آمارمجید یوسفی خوشبخت 1 , محمدرضا چهارمحالی 2
1 - گروه ریاضی، دانشکده علوم، دانشگاه بوعلی‌سینا، همدان، ایران
2 - گروه ریاضی، دانشکده علوم، دانشگاه بوعلی‌سینا، همدان، ایران
کلید واژه: Hard-NP problems, Depot, Vehicle Routing Problem, Fleet size and mix,
چکیده مقاله :
مساله مسیریابی وسیله نقلیه (VRP) یکی از مهم‌ترین مسایل تحقیق در عملیات در صنایع و خدمات است که امروزه با توجه به هزینه بالای حمل و نقل در قیمت نهایی کالا، بسیار مورد توجه قرار می‌گیرد. از طرف دیگر با توجه به اینکه استفاده از وسایل نقلیه با ظرفیت‌های گوناگون سبب کاهش بیشتر این هزینه می‌گردد، مسئله مسیریابی وسایل نقلیه آمیخته (FSMVRP) ارایه شد و از آن زمان، پیشرفت قابل‌توجهی در مورد این مسائل و انواع آن در جهت استفاده در وسایل واقعی صورت گرفت. در این مساله، انواع مختلفی از وسایل نقلیه با ظرفیت متفاوت موجود در انبار کالای یکتا، برای خدمت به مجموعه‌ای از مشتریان با موقعیت‌های جغرافیایی شناخته شده، وجود دارند. به علاوه در این مسئله، هر یک از مشتری‌ها به میزان خاصی کالا نیاز دارند که باید توسط ناوگانی ثابت از وسائل نقلیه به آن‌ها تحویل گردد. هدف تعیین مجموعه‌ای از تورها برای وسائل نقلیه با کمترین هزینه است به شرط آن‌که هر وسیله نقلیه از انبار شروع به حرکت کرده و در انتها به آن بازگردد، هر مشتری دقیقاً یک‌بار توسط یک وسیله نقلیه بازدید شود و کل تقاضای مشتری‌‌های هر تور از ظرفیت هر نوع از وسیله نقلیه، که 〖 q〗_iدر نظر گرفته می‌شود، تجاوز نکند. هدف این مقاله، طبقه‌بندی و بررسی مطالب مربوط به FSMVRP است. در این مقاله همچنین یک تحلیل مقایسه‌ای از الگوریتم‌های فراابتکاری برای این مساله ارائه‌شده است.
The vehicle routing problem (VRP) is one of the most important research issues in operations in industries and services, which is highly regarded today due to the high cost of transportation in the final price of goods. On the other hand, considering that the use of vehicles with different capacities will further reduce this cost, the issue of fleet size and mix vehicle routing (FSMVRP) was introduced and since then significant progress has been made on these issues and their types for use in Real tools were made. In this case, there are different types of vehicles with different capacities available in the unique depot to serve a group of customers with known geographical locations. In addition, in this case, each customer needs a certain amount of goods that must be delivered to them by a fixed fleet of vehicles. The goal is to determine the set of tours for the vehicles with the lowest cost, provided that: each vehicle starts from the depot and returns to it at the end, each customer is visited exactly once by one vehicle and the total customer demand of each tour exceeds the capacity do not exceed any type of vehicle, which is considered Qi. The purpose of this article is to categorize and review issues related to FSMVRP. This paper also provides a comparative analysis of meta-heuristic algorithms for these problems.
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