Scheduling of multistage serial production systems under constant demand and infinite horizon is considered. The production stages operate with periodic shut-downs and startups. An integer nonlinear programming formulation is presented for determining a stationary, cyclic schedule with no...

This paper deals with an identical multiprocessor, multiproduct, lot-size scheduling problem under deterministic conditions. The problem is an extension of the single-processor ELSP problem. The objective is to minimize the average production and inventory costs per unit time subject to...

This research focuses on the effect of setup time on lot sizing. The setting is the Capacitated Lot Sizing Problem (the single-machine lot sizing problem) with nonstationary costs, demands, and setup times. A Lagrangian relaxation of the capacity constraints of CLSP allows it to be decomposed...

Monahan (Monahan, J. P. 1984. A quantity discount pricing model to increase vendor profits. Management Sci. (June) 720--726.) adapted the quantity discount model of inventory theory to the problem of determining an optimal quantity discount schedule from a vendor's point of view, and opened up...

Setup reduction is an important aspect of the Just-In-Time (JIT) and Zero Inventory (ZI) concepts. This paper looks at the increased effective capacity that results from setup reduction. A certain amount of time, as well as expense, is required for each setup within a multiproduct firm. By...

In this paper we study the problem of coordinating the purchase and shipment of I items in a one-warehouse, N-retailer inventory system. The model includes positive echelon holding costs, fixed costs for ordering and shipping each item, and a fixed joint item order cost at each retailer. Demand...

Machine sequencing formulations typically assume that the characteristics of the job set to be processed are given. However, in many applications, jobs can be batched in different ways. Two types of minimum flow-time sequencing problems with lot sizing are formulated. The "item-flow" formulation...

This paper extends the deterministic EOQ model to reflect various optimizing criteria and alternative demand and price structures. Its primary purpose is to develop decision rules for the management of finished goods inventories, especially in retailing, where inventories are evaluated in the...

In this paper we present a mathematical programming model for the Kanban system in a deterministic multi-stage capacitated assembly-tree-structure production setting. We discuss solution procedures to the problem and address three special cases of practical interest.

In this paper, the joint problem of ordering and offering price discount by a supplier to his sole/major buyer is analyzed. The objective is to induce the buyer to alter his order schedule and size so that the supplier can benefit from lower set up, ordering, and inventory holding costs. We...