The paper deals with a stochastic multi-product sequencing and lot-sizing problem for a line that produces items in lots. Two types of uncertainties are considered: random lead time induced by machine breakdowns and random yield to take into account part rejects. In addition, sequence dependent setup times are also included. This study focuses on maximizing the probability of producing a requir...

We consider a variant of the single item lot sizing problem where the product, when stored, suffers from a proportional loss, and in which the product demand is affected by uncertainty. This setting is particularly relevant in the energy sector, where the demands must be satisfied in a timely manner and storage losses are, often, unavoidable. We propose a two-stage robust optimization approach ...

In this paper, we consider the well-known constant-batch lot-sizing problem, which we refer to as the single module capacitated lot-sizing (SMLS) problem, and multi-module capacitated lot-sizing (MMLS) problem. We provide sufficient conditions under which the (k, l, S, I) inequalities of Pochet and Wolsey (Math of OR 18: 767-785, 1993), the mixed (k, l, S, I) inequalities, derived using mixing ...

Gate sizing is used to increase the performance and/or decrease the area and/or power dissipation of CMOS circuits. There has been extensive work on gate sizing introducing several different methods, producing mixed results in solving speed, size of benchmark circuits and accuracy. These papers however rarely make comparisons between solving methods and usually only use small benchmarks. We int...

This paper studies interconnect sizing and spacing (ISS) problem with consideration of coupling capacitance for performance optimization of single or multiple critical nets. We introduce the formulation of symmetric and asymmetric wire sizing. We develop efficient bound computation algorithms for ISS optimization and prove their optimality under general interconnect resistance and capacitance m...

The aim of lot sizing problems is to determine the periods where production takes place and the quantities to be produced in order to satisfy the customer demand while minimizing the total cost. Due to its importance on the efficiency of the production and inventory systems, Lot sizing problems are one of the most challenging production planning problems and have been studied for many years wit...