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...

This paper breaks new ground by modelling lot sizing and scheduling in a flexible flow line (FFL) simultaneously instead of separately. This problem, called the ‘General Lot sizing and Scheduling Problem in a Flexible Flow Line’ (GLSP-FFL), optimizes the lot sizing and scheduling of multiple products at multiple stages, each stage having multiple machines in parallel. The objective is to satisf...

A game merging the lot-sizing problem with a Cournot competition model is for the first time theoretically studied. Each player is a producer with her own production facility, modeled as an uncapacitated lot-sizing problem (i.e., production incurs set-up and variable costs and inventories are allowed). A Cournot competition is played in each time period (market) with each player deciding the qu...

We consider the problem of determining realistic and easy-to-schedule lot sizes in a multiproduct, multistage manufacturing environment. We concentrate on a specific type of production, namely, flow shop type production. The model developed consists of two parts, lot sizing problem and scheduling problem. In lot sizing problem, we employ binary integer programming and determine reorder interval...

this study deals with a two-level supply chain consisting of one manufacturer and one retailer. we consider an integrated production inventory system where the manufacturer processes raw materials in order to deliver finished product with imperfect quality to the retailer, where number of defective product has a uniform distribution. the retailer receives product and conducts a 100% inspection....

This paper analyzes different lot-sizing policies for the supplier selection and order allocation problem in a two-stage supply chain. The chain consists of multiple candidate suppliers single buyer. In this system, selected produce product batches at finite production rates, ship it to buyer, buyer sells market constant demand rate. Our goal is evaluate two select one that optimizes by minimiz...

Ravindra K. Ahuja and Dorit S. Hochbaum Abstract In this paper, we study capacitated dynamic lot sizing problems with or without backorders, under the assumption that production costs are linear, that is, there are no set up costs. These two dynamic lot sizing problems (with or without backorders) are minimum cost flow problems on an underlying network that possess a special structure. We show ...

As a traditional model in the operations research and management science domain, deterministic lot-sizing problem is embedded in many application problems such as production and inventory planning and has been consistently drawing attentions from researchers. In this paper we consider basic versions of lot-sizing models in which problem parameters are stochastic and develop corresponding scenar...