In this paper we consider the uncapacitated economic lot-size model, where demand is a deterministic function of price. In the model a single price need to be set for all periods. The objective is to find an optimal price and ordering decisions simultaneously. In 1973 Kunreuther and Schrage proposed an heuristic algorithm to solve this problem. The contribution of our paper is twofold. First, w...

This paper proposes a mixed integer programming model for single-item capacitated lot-sizing problem with setup times, safety stock, demand shortages, outsourcing and inventory capacity. Due to the complexity of problem, three meta-heuristics algorithms named simulated annealing (SA), vibration damping optimization (VDO) and harmony search (HS) have been used to solve this model. Additionally, ...

In this paper an integrated lot-sizing and scheduling problem in a flexible job shop environment with machine-capacity-constraint is studied. The main objective is to minimize the total cost which includes the inventory costs, production costs and the costs of machine’s idle times. First, a new mixed integer programming model,with small bucket time approach,based onProportional Lot sizing and S...

Often lot sizing and scheduling models have neglected the consideration of influence of product life cycles (PLCs). But, accordingly as desirable in a firm’s production strategy, decisions of lot sizing scheduling may have to respond to the stage changes in a product’s life cycle. In this paper, we propose an extension of the lot sizing scheduling, the multi-item, multi-level product-structure...

The problem of sizing gates for power-delay tradeo s is of great interest to designers. In this work, the theoretical basis for gate sizing under delay and power considerations is presented, and results on a practical implementation are presented. The dynamic power as well as the short-circuit power are modeled, using notions of delay and transition density, and the optimization problem is form...

In this paper we discuss two basic geometric techniques that can be used to speed up certain types of dynamic programs. We first present the algorithms in a general form, and then we show how these techniques can be applied to the economic lot-sizing problem and extensions. Furthermore, it is illustrated that the geometric techniques can be used to give elegant and insightful proofs of structur...

This paper introduces the single item lot sizing problem with inventory gains. This problem is a generalization of the classical single item capacitated lot sizing problem to one in which stock is not conserved. That is, the stock in inventory undergoes a transformation in each period that is independent of the period in which the item was produced. A 0 1 mixed integer programming formulation o...

Non-stationary stochastic lot sizing problem appears in many industrial environments where demand is nonstationary and stochastic, and replenishments require fixed freight fees. This paper presents the cost performance assessment of three inventory control strategies proposed for the stochastic lot sizing problem, namely Hua et al. (2008)’s strategy (HYHX), Tarim and Kingsman (2006)’s model (TK...

Distributed generation allows achieving large savings or causing technical problems, depending on the generation size, type and location. The optimal location and sizing of DG is a challenging problem and requires a multiobjective programming approach. In this paper the aspects of the DG siting and sizing problem are highlighted considering the simultaneous optimization of several objective fun...

This paper presents the improvisation of Modified Gabor Filter design using Verilog HDL. This work details important enhancement made to the modified Digital Gabor filter to minimize the sizing problem and the coding style that synthesizable. The intention is to study, analyze, simplify and improvise the design synthesis efficiency and accuracy while maintaining the same functionality. The main...