Determining lot sizes and resource requirements: A review
Operations Research
Sequencing with earliness and tardiness penalties: a review
Operations Research
Some extensions of the discrete lotsizing and scheduling problem
Management Science
Computers and Operations Research
Discrete Lotsizing and Scheduling by Batch Sequencing
Management Science
Computers and Industrial Engineering
Multi-product sequencing and lot-sizing under uncertainties: A memetic algorithm
Engineering Applications of Artificial Intelligence
Lot-sizing on a single imperfect machine: ILP models and FPTAS extensions
Computers and Industrial Engineering
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We consider the problem of determining the production lot sizes and their schedules so that the sum of setup cost, holding cost, and tardy cost is minimized. There are n orders waiting to be processed. Each order has its own due date, earliness penalty and tardiness penalty. The production is done in lots, which is the manufacturing of the same product continuously. No early delivery is allowed. Each order is delivered once, on the due date or immediately after the production of the order is completed. We present an algorithm, based on the use of the assignment problem, to optimally solve the problem with zero setup cost. For the problem with setup cost, the Backward Search algorithm is proposed to solve the small size problem. To deal with the large size problem, two heuristics which are Sequencing with Optimal Timing and Genetic Algorithm are presented.