Network Programming Models for Production Scheduling in Multi- Stage, Multi-Item Capacitated Systems

Article Abstract:

A scheduling problem with linear costs and production and inventory constraints is addressed. The model addresses multi-item and multi- level production problems. The three-period problem is modelled as a network which is then used as an efficient T-period heuristic. Comparisons with standard linear programming solutions are included. Diagrams showing illustrated networks and a network for the 3-period, I level problem with three products are included. Tables showing the condition of matrices after various operations are also included. Tables showing computational times on a computer are available.

Management science, Algorithms, Inventory control, Algorithm, Heuristic programming, Network analyzers, Modeling, Data modeling software, LAN Monitor, Heuristic Methods

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Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction

Article Abstract:

Material Requirements Planning (MRP) is used throughout industry to determine production schedules in multi-stage manufacturing systems. Capacity constraints and unpredictable production lead times are two of several problems with MRP. These two are addressed. Linear and mixed integer-linear programming formulations are presented. The formulations compute lead times based on the demands on available capacity. This reduces in-process inventory. More efficient solution techniques are needed because the problems are so large.

Manufacturing, Mathematical Programming, Lead Times

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Network Programming Models for Production Scheduling in Multi-Stage, Multi-Item Capacitated Systems

Article Abstract:

Multi-item production scheduling problems with constraints on various stages are studied. A linear cost of production and inventory is used. A 3-period problem is viewed as a network. The 3-period network model is used in a T-period heuristic. Computational comparisons of linear programming are listed. Production cost considerations and setup time factors are discussed in relation to capacity utilization.

Production management, Computer networks, Usage, Finance, Production (Economics), Industrial capacity

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