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 ...

In this paper, we examine the impact of scheduling policies on batch sizing decisions in a multi-item production system. We also investigate the joint effect of scheduling policies and batch sizing decisions on production lead times. In particular, we compare the performance of a first come-first-served (FCFS) policy with a group scheduling (GS) policy and study the effect of both on the optima...

This paper proposes a new hybrid technique called ”partial parameter uniformization” to hybrid discreteand continuous-time models for batch sizing and scheduling problems. The uniformization method simpli...es a problem by ignoring the di¤erent values of some parameters that the problem can take, which can facilitate the solution of some complex combinatorial optimization problems. Good feasibl...

Computer simulation has great application potential in the area of Production Engineering as a tool to support decision making it allows simulate functioning real system through logical relationships, order observe its behavior under different scenarios. Which could not be practiced system. In line with this aspect, present work aims report on for design production batches and inventory control...

We consider a multi-item lot-sizing problem in which there are demands, and unit production and storage costs. In addition production of any mix of items is measured in batches of fixed size, and there is a fixed set-up cost per batch in each period. Suppose that the unit production costs are constant over time, the storage costs are nonnegative, and for any two items the one that has a higher ...

The retrofit of multiproduct batch plants treats the modification of the original configuration of the plant to satisfy new production conditions (new products, new demand pattern, etc.). A disjunctive model is presented to solve this problem that includes all the usual alternatives in this kind of problems. A disjunction is generated for each batch stage considering all the feasible configurat...

Iteration is essential for generating value in design processes. However, not all iteration generates value. Iteration that can be eliminated without value loss is waste. Moving towards lean design requires a better understanding of both value generation and waste reduction. This paper contributes to the development of lean design by examining how waste can be reduced through elimination of neg...

In this paper, we consider the problem of determining the production rate, production batch size, and production sequence when production rate, setup cost, and unit processing cost are sequence-dependent. Using a standard lot sizing model with backorder, a tabu search algorithm for solving this problem is proposed. The algorithm is tested on some random test problems and its performance is comp...