We develop and estimate a spatial game-theoretic model of entry and location choices to examine firms’ strategic clustering decisions. The model identifies two contradictory effects that determine firms’ geographical location choices: a competition effect and a clustering effect. We also separate firm’s strategic clustering incentives from the observed clustering behavior due to exogenous facto...

We develop and estimate a spatial game-theoretic model of entry and location choices to examine firms’ strategic clustering decisions. The model identifies two contradictory effects that determine firms’ geographical location choices: a competition effect and a clustering effect. We also separate firms’ strategic clustering incentives from the observed clustering behavior due to exogenous facto...

This paper studies a reliable facility location problem with facility protection that aims to hedge against random facility disruptions by both strategically protecting some facilities and using backup facilities for the demands. An Integer Programming model is proposed for this problem, in which the failure probabilities of facilities are site-specific. A solution approach combining Lagrangian...

— We treat a discrete uncapacitated facility location problem where the installation cost per facility is a gênerai nonlinear function of the number of established facilities. Assuming a convexity proper ty, Mirchandani and Jagannathan developed a heur is tic solution procedure for this problem. Hère, we show how to modify their algorithm in order to get and prove exact solutions and, at the sa...

The continuous-space single- and multi-facility location problem has attracted much attention in previous studies. This study focuses on determining the globally optimal facility locations for two- higher-dimensional problems when Manhattan distance is considered. Before we propose exact method, start with single-facility obtain global minimizer using a statistical approach. Then, an method dev...

in this study, we discuss the capacitated facility location-allocation problem with uncertain parameters in which the uncertainty is characterized by given finite numbers of scenarios. in this model, the objective function minimizes the total expected costs of transportation and opening facilities subject to the robustness constraint. to tackle the problem efficiently and effectively, an effici...

The importance of spatial data mining is growing with the increasing incidence and importance of large spatial datasets repositories of remote-sensing images, location based mobile app data, satellite imagery, medical data and crime data with location information, three dimensional maps, traffic data and many more. However, as classical data mining techniques are often inadequate for spatial da...

In the Nearest Neighbor problem (NN), the objects in the database that are nearer to a given query object than any other objects in the database have to be found. In the conceptually inverse problem, Reverse Nearest Neighbor problem (RNN), objects that have the query object as their nearest neighbor have to be found. Reverse Nearest Neighbors queries have emerged as an important class of querie...

We consider the online variant of facility location, in which demand points arrive one at a time and we must maintain a set of facilities to service these points. We provide a randomized onlineO(1)-competitive algorithm in the case where points arrive in random order. If points are ordered adversarially, we show that no algorithm can be constant-competitive, and provide an O(logn)-competitive a...