مسئله مسیریابی تولید رقابتی: مدل‌سازی، حل و ارائه نامعادلات معتبر

نوع مقاله: مقاله پژوهشی

نویسندگان

1 عضو هیات علمی دانشگاه بوعلی سینا

2 دانشجوی دکتری، دانشگاه بوعلی سینا، دانشکده مهندسی، گروه صنایع

چکیده

حمل‌ونقل در سیستم‌های اقتصادی، تولیدی و خدماتی از جایگاه مهمی برخوردار است و بخش قابل‌توجهی از تولید ناخالص ملی هر کشوری را به خود اختصاص می‌دهد. مسئله مسیریابی تولید، توسعه‌ای بر مباحث فروشنده دوره‌گرد و مسیریابی خودرو است که در آن برنامه‌ریزی زمان و میزان تولید نیز موردتوجه است. عموماً در مسائل فوق، فرض بر این است کهنوعی انحصار در محیط وجود دارد و توجهی به تأثیر رقبا در این مسائل در نظر گرفته نشده است. در این مقاله، مسئله مسیریابی تولید رقابتی با فرض دانستن زودترین و دیرترین زمان تأمین تقاضا توسط رقیب مدل‌سازی می‌شود. نامعادلات معتبری برای این مسئله ارائه شده و میزان تأثیر آن‌ها در زمان حل دقیق به‌وسیله نرم‌افزار سیپلکس بررسی شده است. نامعادلات فوق برای مسئله با وسایل نقلیه همگن و ناهمگن به تفکیک ارائه شده است. درنهایت نیز نتایج به‌دست‌آمده از آن‌ها مقایسه شده است.

کلیدواژه‌ها


عنوان مقاله [English]

Competitive Production Routing Problem: Modeling, Solving and Valid Inequalities

چکیده [English]

Transportation is an important factor in the economic, production and service systems and it has allocated a significant portion of the gross domestic product (GDP) of any country. Production routing problem is development of the traveling salesman and vehicle routing problems in which scheduling and production planning are considered too. Generally, in the above problems it is assumed that there is a monopoly and the impact of competitors has not been considered. In this paper, for creating competitive condition, it is assumed that the earliest and latest time of competitor arrival is known. After modeling problem as mixed intger programming, valid inequalities are proposed, and their effects on the model have been investigated by the CPLEX software. These inequalities are provided for production routing problem with homogeneous and heterogeneous vehicles, separately. To evaluate the performance of the proposed valid inequalities, the results of them have been compared.

کلیدواژه‌ها [English]

  • Production routing problem
  • Competitive environment
  • Valid inequality

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