طراحی مدل ریاضی مکان‌یابی تسهیلات رقابتی چند محصول چند رقیب

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشگاه شهید بهشتی.

2 استاد، دانشگاه شهید بهشتی.

3 استادیار، دانشگاه شهید بهشتی.

4 دانشیار، دانشگاه شهید بهشتی

چکیده

مکان‌یابی با درنظرگرفتن موضوع رقابت در بازار، یک تصمیم راهبردی و بلندمدت محسوب می­‌شود. چنانچه در انتخاب مکان، بررسی‌­های لازم صورت نگیرد، حیات سازمان در بلندمدت تحت تأثیر قرار می‌­گیرد. به‌­دلیل وجود پیچیدگی‌­های موجود در مسائل مکان‌یابی، ارائه مدل‌های مکان‌یابی با محدودیت­‌های متنوعی مواجه است. هدف این پژوهش، توسعه مدل مکان‌یابی رقابتی با درنظر­گرفتن دو محصول از سوی سه رقیب است؛ برای این منظور، مسئله به‌­صورت یک بازی مکان ـ قیمت تعریف و با استفاده از مدل ریاضی دوسطحی، مدل‌سازی شده است. در این مدل در سطح نخست، مکان بهینه تعیین و در سطح دوم با استفاده از نتایج تعادل نش، قیمت تعادلی به‌دست آمد. در این پژوهش، رفتار مشتری به‌­صورت احتمالی در نظر گرفته شده و با کمک تابع نمایی مدل‌­سازی شد. به­‌دلیل NP- hard­ بودن مسائل مکان‌یابی، برای حل مدل از الگوریتم فراابتکاری استفاده شده است. الگوریتم جست­وجوی ممنوع، روش انتخابی حل مدل پژوهش حاضر است. نتایج نشان داد بازی قیمت در شرایطی که پیش از ورود به بازار، بیش از یک رقیب حضور داشته باشد، در مقایسه با حالتی که بازار انحصاری است، شدت و اهمیت بیشتری دارد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Developing a Mathematical Model for Competitive Facility Location with Multiple Commodities and Multiple Competitors

نویسندگان [English]

  • Somayeh Maleki 1
  • Akbar Alem Tabriz 2
  • Davood Talebi 3
  • Alireza Moatameni 4
1 PhD student, Shahid Beheshti University.
2 Professor, Shahid Beheshti University.
3 Assistant Professor, Shahid Beheshti University.
4 Associate Professor, Shahid Beheshti University.
چکیده [English]

Facility location along with taking account the competition is a critical component of strategic planning. The location affects the competitiveness and market share of new entrants, in long-term. Because of the complications of location problems, most of the location models are faced whit many different limitations. In this paper a competitive facility location model with three competitors which produce two commodities is developed. The problem is modeled in the form of a location-price game. A bi-level model is developed to investigate the location and price. In location-pricing models, the location decision should come before the pricing game. From the second level and the use of Nash equilibrium, equilibrium will be obtained. In this paper, probabilistic costumer behavior with the help of exponential function is modeled. A metaheuristic based on tabu search is proposed to search the optimal location-price solution of the model. Findings show that changing the equilibrium price affect the profitability of new entry firms.

کلیدواژه‌ها [English]

  • Competitive Facility Location
  • Nash Equilibrium
  • Location-Price Game
  • Probabilistic Costumer Behavior
  • Tabu Search Algorithm

مراجع

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