نظری, مرتضی

دانشجوی دکتری، دانشگاه صنعتی شاهرود، دانشکده علوم ریاضی، شاهرود

[ 1 ] - مسئله معکوسِ نوع محدودیت بودجه ایِ 2- میانه پشتیبان با تغییر در مختصات نقاط

In this paper we consider the reverse backup 2-median problem with variable coordinate of vertices in Rk.  Let n points be given, then in reverse backup 2-median problem we want to change the coordinates of these points with a limited budget such that the two given points be the backup 2-median.  We present a mathematical model for this problem and then solve an spatial case of this problem by ...

[ 2 ] - مسائل مکانیابی تک وسیله ای آرمانی تحت نرم Lp

نظریه مکانیابی یکی از مباحث مهم در بهینه سازی و تحقیق در عملیات می باشد. در مسائل مکانیابی هدف پیدا کردن مکان یک یا چند سرویس دهنده به گونه ای است که معیارهایی مانند هزینه حمل ونقل، مسافت طی شده توسط مشتریان، زمان کل سرویس دهی و هزینه حاصل از سرویس دهی بهینه شود. در این مقاله ما به مساله مکانیابی آرمانی می پردازیم که در آن مکان تعدادی مشتری در صفحه داده شده است و حالت ایده آل این است که مکانی ب...

[ 3 ] - Solution of Backup Multifacility Location Problem by Considering the Ideal Radius for each Customer

In this paper we introduce a new facility location model, called backup multifacility location problem by considering the ideal radius for each customer. In this problem the location of clients are given in the plane. A radius is assigned to each client. We should find the location of new facilities, which some of them may fail with a given probability, such that the sum of weighted distances f...

[ 4 ] - Single Facility Goal Location Problems with Symmetric and Asymmetric Penalty Functions

Location theory is an interstice field of optimization and operations research‎. ‎In the classic location models‎, ‎the goal is finding the location of one or more facilities such that some criteria such as transportation cost‎, ‎the sum of distances passed by clients‎, ‎total service time, and cost of servicing are minimized‎. ‎The goal Weber location problem is a special case of location mode...

[ 5 ] - Inverse and Reverse 2-facility Location Problems with Equality Measures on a Network

In this paper we consider the inverse and reverse network facility location problems with considering the equity on servers. The inverse facility location with equality measure deals with modifying the weights of vertices with minimum cost, such that the difference between the maximum and minimum weights of clients allocated to the given facilities is minimized. On the other hand, the reverse c...