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The Q(s,S) control policy for the joint replenishment problem extended to the case of correlation among item-demands

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Author Info
Larsen, Christian () (Department of Business Studies, Aarhus School of Business)
Abstract

We develop an algorithm to compute an optimal Q(s,S) policy for the joint replenishment problem when demands follow a compound correlated Poisson process. It is a non-trivial generalization of the work by Nielsen and Larsen (2005). We make some numerical analyses on two-item problems where we compare the optimal Q(s,S) policy to the optimal uncoordinated (s,S) policies. The results indicate that the more negative the correlation the less advantageous it is to coordinate. Therefore, in some cases the degree of correlation determines whether to apply the coordinated Q(s,S) policy or the uncoordinated (s,S) policies. Finally, we compare the Q(s,S) policy and the closely connected P(s,S) policy. Here we explain why the Q(s,S) policy is a better choice if item-demands are correlated.

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Publisher Info
Paper provided by University of Aarhus, Aarhus School of Business, Department of Business Studies in its series Logistics/SCM Research Group Working Papers with number L-2007-01.

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Length: 23 pages
Date of creation: 04 Jan 2007
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Handle: RePEc:hhb:aarbls:2007-001

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Postal: The Aarhus School of Business, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark
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Keywords: joint replenishment problem compound correlated Poisson process

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  1. Melchiors, Philip, 2002. "Calculating can-order policies for the joint replenishment problem by the compensation approach," European Journal of Operational Research, Elsevier, vol. 127(3), pages 587-595, September. [Downloadable!] (restricted)
  2. Wildeman, R.E. & Frenk, J.B.G. & Dekker, R., 1997. "An efficient optimal solution method for the joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 99(2), pages 433-444, June. [Downloadable!] (restricted)
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