Optimal Pricing and Production Master Planning in a Multiperiod Horizon Considering Capacity and Inventory Constraints
Author(s) -
Neale R. Smith,
Jorge Limón Robles,
Leopoldo Eduardo CárdenasBarrón
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/932676
Subject(s) - mathematical optimization , time horizon , production (economics) , dynamic programming , process (computing) , production planning , computer science , horizon , optimization problem , mathematics , economics , microeconomics , geometry , operating system
We formulate and solve a single-item joint pricing and master planning optimization problem with capacity and inventory constrains. The objective is to maximize profits over a discrete-time multiperiod horizon. The solution process consists of two steps. First, we solve the single-period problem exactly. Second, using the exact solution of the single-period problem, we solve the multiperiod problem using a dynamic programming approach. The solution process and the importance of considering both capacity and inventory constraints are illustrated with numerical examples
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