Lot sizing with rework and different inspection costs

lot sizing with rework and different inspection costs

this paper deals with the single machine multi-product lot scheduling problem in which defective items are produced in any production run of each product. we have adopted the common cycle scheduling policy and assumed that the setup times for production of each product can be non-zero. further, we have assumed that defective items will be reworked and the inspection costs during the normal prod...

Integrating Quality and Inspection for the Optimal Lot-sizing Problem with Rework, Minimal Repair and Inspection Time

This research is derived an integrated model of economic production quantity, inspection and preventive maintenance to incorporate rework, minimal repair and inspection time for an imperfect production system. Some proportions of non-conforming items are assumed scrap before the rework process start and others are reworked. The rework process is imperfect that is a proportion of the reworked it...

Lot Sizing with Piecewise Concave Production Costs

We study the lot-sizing problem with piecewise concave production costs and concave holding costs. This problem is a generalization of the lot-sizing problem with quantity discounts, minimum order quantities, capacities, overloading, subcontracting or a combination of these. We develop a dynamic programming (DP) algorithm to solve this problem and answer an open question in the literature: we s...

Online lot-sizing problems with ordering, holding and shortage costs

We study inventorymanagement problemswhere demands are revealed incrementally and procurement decisionsmust bemade before the demands are realized. There are no probabilistic distributions nor nontrivial bounds to characterize demands. We consider two cost minimization problems: (1) perishable products with lost sales and (2) durable products with backlogged demand. In both problems, costs are ...

Multi-item lot-sizing with joint set-up costs

We consider a multi-item lot-sizing problem with joint set-up costs and constant capacities. Apart from the usual per unit production and storage costs for each item, a set-up cost is incurred for each batch of production, where a batch consists of up toC units of anymix of the items. In addition, an upper bound on the number of batches may be imposed. Under widely applicable conditions on the ...

Uncapacitated Lot-Sizing Problems with Start-Up Costs