We consider the cutting of rectangular order pieces into stock pieces of specified width and length. The cutting process involves three stages of orthogonal guillotine cutting: Stock pieces are cut into sections that are cut into slits that are cut into order pieces. Restrictions imposed on the...

In this paper, we consider a class of two-stage stochastic optimization problems arising in the protection of vital arcs in a critical path network. A project is completed after a series of dependent tasks are all finished. We analyze a problem in which task finishing times are uncertain but can...

Over $47 billion of tax exempt debt issues were sold to the public in 1982. A portion of this total was offered to municipal bond underwriters under a competitive bidding system using the criterion of minimum true interest cost (internal rate of return). The TIC bidding problem may be formulated...

The production and logistics operations planning in real-life single- or multi-site semicontinuous food industries is addressed in this work. A discrete/continuous-time mixed integer programming model, based on the definition of families of products, is developed for the problem in question. A...

It is not straightforward to find a new feasible solution when several conic constraints are added to a conic optimization problem. Examples of conic constraints include semidefinite constraints and second order cone constraints. In this paper, a method to slightly modify the constraints is...

The service system design problem seeks to locate a set of service facilities, allocate enough capacity, and assign stochastic customer demand to each of them, so as to minimize the fixed costs of opening facilities and acquiring service capacity, as well as the variable access and waiting...

It is not straightforward to find a new feasible solution when several conic constraints are added to a conic optimization problem. Examples of conic constraints include semidefinite constraints and second order cone constraints. In this paper, a method to slightly modify the constraints is...

Discussing the subject of e-learning in the context of the latest updates of technology nowadays represents quite a challenge when the topic must be addressed to special classes of computer users. The paper will present a theoretical framework for visually impaired persons, followed by a...