Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders

In this paper, we present a multiperiod model for production planning in a make-to-stock manufacturing system with constant pricing. We consider a multiproduct capacitated setting and introduce a demand-based model where the demand is a function of the price. There is an assumption that the producti...

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Main Authors: Caccetta, Louis, Mardaneh, Elham
Format: Journal Article
Published: American Institute of Mathematical Sciences 2010
Online Access:http://hdl.handle.net/20.500.11937/16148
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author Caccetta, Louis
Mardaneh, Elham
author_facet Caccetta, Louis
Mardaneh, Elham
author_sort Caccetta, Louis
building Curtin Institutional Repository
collection Online Access
description In this paper, we present a multiperiod model for production planning in a make-to-stock manufacturing system with constant pricing. We consider a multiproduct capacitated setting and introduce a demand-based model where the demand is a function of the price. There is an assumption that the production setup costs are negligible. A key part of the model is that backorders are allowed. As a result of this, the problem becomes a nonlinear programming problem with the nonlinearities in both the objective function and some constraints. We develop an algorithm that computes the global optimal production and pricing policy on a finite time horizon. We illustrate the application of the algorithm through a detailed numerical example.
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spelling curtin-20.500.11937-161482017-09-13T15:04:06Z Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders Caccetta, Louis Mardaneh, Elham In this paper, we present a multiperiod model for production planning in a make-to-stock manufacturing system with constant pricing. We consider a multiproduct capacitated setting and introduce a demand-based model where the demand is a function of the price. There is an assumption that the production setup costs are negligible. A key part of the model is that backorders are allowed. As a result of this, the problem becomes a nonlinear programming problem with the nonlinearities in both the objective function and some constraints. We develop an algorithm that computes the global optimal production and pricing policy on a finite time horizon. We illustrate the application of the algorithm through a detailed numerical example. 2010 Journal Article http://hdl.handle.net/20.500.11937/16148 10.3934/jimo.2010.6.123 American Institute of Mathematical Sciences unknown
spellingShingle Caccetta, Louis
Mardaneh, Elham
Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title_full Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title_fullStr Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title_full_unstemmed Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title_short Joint Pricing and Production Planning for Fixed Priced Multiple Products with Backorders
title_sort joint pricing and production planning for fixed priced multiple products with backorders
url http://hdl.handle.net/20.500.11937/16148