This paper deals with the single-item capacitated lot sizing problem with concave production and storage costs, considering minimum order quantity and dynamic time windows. This problem models a lot sizing where the production lots are constrained in amount and frequency. In this problem, a demand must be satisfied at each period t over a planning horizon of T periods. This demand can be satisf...

This paper integrates noncyclical preventive maintenance with tactical production planning in multistate systems. The maintenance policy suggests noncyclical preventive replacements of components, and minimal repair on failed components. The model gives simultaneously the appropriate instants for preventive maintenance, and production planning decisions. It determines an integrated lot-sizing a...

This paper investigates the performance impact of lot-sizing rule (LSR) selection and freezing of the master production schedule (MPS) in multi-item single-level systems with a single resource constraint under deterministic demand. The results of the study show that the selection of LSRs and the parameters for freezing the MPS have a significant impact on total cost, schedule instability, and t...

An Optimization Framework for Solving Capacitated Multi-level Lot-sizing Problems with Backlogging Tao Wu†, Leyuan Shi†,>, Joseph Geunes‡, Kerem Akartunalı∗ † Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706 ‡ Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611 ∗ Department of Management Science, Univ...

Improved Formulations, Heuristics and Metaheuristics for the Dynamic Demand Coordinated Lot-sizing Problem. (August 2006) Arunachalam Narayanan, B.E., Anna University, India; M.S., Texas A&M University Chair of Advisory Committee: Dr. E. Powell Robinson Coordinated lot sizing problems, which assume a joint setup is shared by a product family, are commonly encountered in supply chain contexts. T...

In this paper, we propose a mixed integer programming (MIP) model for a multi-level multi resource capacitated lot sizing and scheduling problem with a set of constraints to track dependent demand balances, that is, the amount left over after allocating the available inventory to the dependent demands. A part of this leftover amount may be kept as a reservation quantity to meet dependent demand...

Setup operations are significant in some production environments. It is mandatory that their production plans consider some features, as setup state conservation across periods through setup carryover and crossover. The modelling of setup crossover allows more flexible decisions and is essential for problems with long setup times. This paper proposes two models for the capacitated lot-sizing pr...

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...