A Deterministic Model for a Manufacture System with an Advance Purchase Discount

2006 ◽  
Vol 505-507 ◽  
pp. 919-924
Author(s):  
Peng Sheng You ◽  
Chung Ming Su

Most production planning models assume that the backorder or advance purchase price is the same as the regular purchase price. In practice, since most advance purchase customers may expect to purchase items at discount prices, the purchasing behavior of these customers may differ from the regular purchase customers. In the present paper, we developed a production planning model for dealing with a manufacturing system with an advance purchase discount. The objective of the paper is to maximize the unit time profit by jointly determining the advance purchase discount rate and the size of a production run.

2007 ◽  
Vol 37 (10) ◽  
pp. 2010-2021 ◽  
Author(s):  
Samuel D. Pittman ◽  
B. Bruce Bare ◽  
David G. Briggs

Forest planning models have increased in size and complexity as planners address a growing array of economic, ecological, and societal issues. Hierarchical production models offer a means of better managing these large and complex models. Hierarchical production planning models decompose large models into a set of smaller linked models. For example, in this paper, a Lagrangian relaxation formulation and a modified Dantzig–Wolfe decomposition – column generation routine are used to solve a hierarchical forest planning model that maximizes the net present value of harvest incomes while recognizing specific geographical units that are subject to harvest flow and green-up constraints. This allows the planning model to consider forest-wide constraints such as harvest flow, as well as address separate subproblems for each contiguous management zone for which detailed spatial plans are computed. The approach taken in this paper is different from past approaches in forest hierarchical planning because we start with a single model and derive a hierarchical model that addresses integer subproblems using Dantzig–Wolfe decomposition. The decomposition approach is demonstrated by analyzing a set of randomly generated planning problems constructed from a large forest and land inventory data set.


1973 ◽  
Vol 12 (4) ◽  
pp. 438-439
Author(s):  
G. M. Radhul

The book under review deals with economic integration among deve¬loping countries from the point of view of planning. The author believes that it is useful to approach economic integration from a planning point of view and to develop planning models for it, because the theory of economic integration relevant for developing countries should be directed towards the impact of integration on future investments and future production. The type of models used in the book are the multisector linear programming models and the method of analysis is essentially a comparison of two situations; one with economic integration and the other without. For each prospective partici¬pant a medium term planning model is drawn up taking account of its economic situation in some base year. The results of these single country planning models are analysed and compared to those of a similar planning model for the integration area as a whole. The consequences of the integration policy are then evaluated.


2011 ◽  
Vol 41 (2) ◽  
pp. 309-320 ◽  
Author(s):  
David W. Savage ◽  
David L. Martell ◽  
B. Mike Wotton

Ecological values are an important aspect of sustainable forest management, but little attention has been paid to maintaining these values when using traditional linear programming (LP) forest management planning models in uncertain planning environments. We embedded an LP planning model that specifies when and how much to harvest in a simulation model of a “managed” flammable forest landscape. The simulation model was used to evaluate two strategies for dealing with fire-related uncertainty when managing mature and old forest areas. The two seral stage areas were constrained in the LP planning model to a minimum of 10% of the total forest area and the strategies were evaluated under four representative fire regimes. We also developed a risk analysis tool that can be used by forest managers that wish to incorporate fire-related uncertainty in their decision-making. We found that use of the LP model would reduce the areas of the mature and old forest to their lower bound and fire would further reduce the seral areas below those levels, particularly when the mean annual burn fraction exceeds 0.45% per annum. Increasing the minimum area required (i.e., the right-hand side of the constraint) would increase the likelihood of satisfying the minimum area requirements.


2012 ◽  
Vol 229-231 ◽  
pp. 2562-2566
Author(s):  
Seyed Ali Hosseini ◽  
Amin Nosratabadi ◽  
Taravatsadat Nehzati ◽  
Napsiah Binti Ismail

The sustainability concept today is at the front lines of new technologies in manufacturing, products and work methodology. Be a sustainable manufacturer is critical issue to the future of manufacturing system. Various efforts have been conducted around the world to ensure the sustainability of manufacturing system. This study addresses current trend in sustainable manufacturing by focus on two major elements, which are facility design and production planning. Critical challenges are listed and future trends have been discussed.


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