Salop’s “Circular City” model of spatial competition is generalized to higher dimensions, and to “transportation” costs which are a power of distance. Assuming free entry, mill pricing is compared to location-based price discrimination. For dimensions above one, there is some too little entry below some cutoff power, and too much entry above it. This cutoff cost-power rises with dimension, and ...

This paper studies pricing decisions and service decisions of a product in a dual-channel (i.e., the traditional retail channel and direct online channel) supply chain consisting of one manufacturer and one retailer. We consider two types of channel pricing decisions (i.e., consistent pricing and inconsistent pricing) in the scenario which the manufacturer holds more bargaining power than the r...

The optimal reactive power dispatch (ORPD) is a very important problem aspect of power system planning and is a highly nonlinear, non-convex optimization problem because consist of both continuous and discrete control variables. Since the power system has inherent uncertainty, hereby, this paper presents both of the deterministic and stochastic models for ORPD problem in multi objective and sin...