Location problems in regions with and block norms

نویسندگان

  • J. Fathali
  • M. Zaferanieh
چکیده

We consider the two well knownminimax and minisum single facility location problems in the plane 2 R which has been divided into two regions, 1 S and 2 S by a straight line. The two regions are measured by various norms. We focus on three special cases in which the regions 1 S and 2 S are measured by 1 l and p l norms, 1 l and block norms, two distinct block norms. Based on the properties of block norms then we use linear or almost linear problems in different cases to achieve the optimal solution.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Location problems in regions with and block norms

  We consider the two well knownminimax and minisum single facility location problems in the plane which has been divided into two regions, and by a straight line. The two regions are measured by various norms . We focus on three special cases in which the regions and are measured by and norms, and block norms, two distinct block norms. Based on the properties of block norms then we use linear ...

متن کامل

Location problems in regions with pl and block norms

We consider the two well knownminimax and minisum single facility location problems in the plane 2 R which has been divided into two regions, 1 S and 2 S by a straight line. The two regions are measured by various norms. We focus on three special cases in which the regions 1 S and 2 S are measured by 1 l and p l norms, 1 l and block norms, two distinct block norms. Based on the properties of bl...

متن کامل

Finite Dominating Sets for Rectilinear Center Problems with Polyhedral Barriers

In planar location problems with barriers one considers regions which are forbidden for the siting of new facilities as well as for trespassing. These problems are important since they reeect various real-world situations. The resulting mathematical models have a non-convex objective function and are therefore diicult to tackle using standard methods of location theory even in the case of simpl...

متن کامل

Error bounds for the approximative solution of restricted planar location problems

Facility location problems in the plane play an important role in mathematical programming. When looking for new locations in modeling real-world problems, we are often confronted with forbidden regions, that are not feasible for the placement of new locations. Furthermore these forbidden regions may have complicated shapes. It may be more useful or even necessary to use approximations of such ...

متن کامل

An Integrated Approach for Facility Location and Supply Vessel Planning with Time Windows

This paper presents a new model of two-echelon periodic supply vessel planning problem with time windows mix of facility location (PSVPTWMFL-2E) in an offshore oil and gas industry. The new mixed-integer nonlinear programming (MINLP) modelconsists ofa fleet composition problem and a location-routing problem (LRP). The aim of the model is to determine the size and type of large vessels in the fi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017