In this article, we consider the set covering problem with conflict constraints, i.e., from each conflicting pair of columns, at most one column can appear in the feasible solution, and we seek to identify (select) a subset of columns so as to achieve two distinct objectives. The first objective...

The n-step mixed integer rounding (MIR) functions generate n-step MIR inequalities for MIP problems and are facets for the infinite group problems. We show that the n-step MIR functions also directly generate facets for the finite master cyclic group polyhedra especially in many cases where the...

Accurate information on dual prices of capacitated resources is of interest in a number of applications, such as cost allocation and pricing. To gain insight we focus on the dual prices of capacity and demand in a single-stage single-product production-inventory system, and discuss their...

In this paper we investigate the relationship between the nearest point problem in a polyhedral cone and the nearest point problem in a polyhedral set, and use this relationship to devise an effective method for solving the latter using an existing algorithm for the former. We then show that...

Purpose: This paper aims to propose a statistical method to measure the impacts of stockouts on demand, using a segmented linear regression model. Design/methodology/approach: The proposed method is applied to data sets from large retail chains to measure the impacts of stockouts of an item on...