Efficient Median and Center Problems: a Bi-Objective Mixed Integer Programming Approach
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
T. Sayyar
1
(Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.)
J. Fathali
2
(Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.)
M. Ghiyasi
3
(Faculty of Industrial Engineering and Management Sciences, Shahrood University of Technology, Shahrood, Iran.)
کلید واژه: Median problem, Center problem, Efficiency, Data envelopment analysis,
چکیده مقاله :
This paper proposes a novel problem on the efficiency in the location problem. We consider the problem of finding optimal location of an efficient facility in the plane. This yields to a novel combination of the location problem and efficiency measurement. We describe the difference between our model and the principle existing models in the literature. We then present a bi-objective programming models for the efficient median and center problems.
در این مقاله ما یک مساله جدید از ادغام مساله مکانیابی و کارایی را ارائه می کنیم. هدف ما در این مساله، پیدا کردن یک مکان کارا در صفحه است. در نهایت به یک ترکیب جدید از ادغام مساله مکانیابی و تحلیل پوششی داده ها دست می یابیم. در این مقاله ما تفاوت کارخود را با سایر کارهایی که در این زمینه انجام شده است را شرح می دهیم. سپس یک مدل برنامه ریزی دو هدفه را برای مساله یک میانه کارا و یک مرکز کارا ارائه می دهیم.
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