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A newsvendor model with service and loss constraints

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Author Info
Werner Jammernegg () (Vienna University of Economics and Business, Institute of Production Management)
Peter Kischka () (Friedrich Schiller University Jena, Department of Business Statistics)
Abstract

Actual performance measurement systems do not only consider financial measures like costs and profits but also non-financial indicators with respect customer service, quality and flexibility. Using the newsvendor model we explore the influence of possibly conflicting performance measures on important operations decisions like the order quantity and the selling price of a product. For price-independent as well as price-dependent demand distribution like in the classical newsvendor model the objective is to maximise the expected profit. But the optimal decisions are computed with respect to a service constraint - a lower bound for the level of product availability - and to a loss constraint - an upper bound for the probability of resulting in loss. For the price-independent model a condition for the existence of an optimal order quantity and its structure is presented. For the price-setting newsvendor the admissible region of the order quantity and the selling price is characterised for the additive and the multiplicative model. Furthermore, it is shown that higher variability of demand leads to a smaller admissible region of the decision variables thereby easing the computation of the optimal decisions.

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Paper provided by Friedrich-Schiller-University Jena, School of Economics and Business Administration in its series Jena Research Papers in Business and Economics - Working and Discussion Papers with number 21/2008.

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Date of creation: 12 Dec 2008
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Handle: RePEc:jen:jenjbe:2008-21

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Related research
Keywords: Constrained Newsvendor Model; Price-Setting Newsvendor;

Find related papers by JEL classification:
C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Statistical Decision Theory; Operations Research
M11 - Business Administration and Business Economics; Marketing; Accounting - - Business Administration - - - Production Management

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  1. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February. [Downloadable!] (restricted)
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