Effects of ramp type demand and Weibull deterioration rate on retailers' optimal pricing and lot-sizing policies for deteriorating items with partial backlogging

M. Valliathal and R. Uthayakumar

International Journal of Data Analysis Techniques and Strategies, 2011, vol. 3, issue 4, 375-405

Abstract: This paper discusses a deterministic inventory model for Weibull deteriorating items with partial backlogging under ramp type demand function. Shortages are allowed. Here we consider replenishment cycles, the time at which shortage begins; replenishment time and the optimal selling price are taken as decision variables. The objective of this model is to maximise the total profit (TP) which includes the sales revenue, purchase cost, the set up cost, holding cost, shortage cost and opportunity cost due to lost sales. We extend the results to ameliorating items also. Numerical examples are given to illustrate the model.

Keywords: inventory modelling; optimisation; lot sizing policies; ramp type of demand; Weibull deterioration rate; optimal pricing; price dependent demand; ameliorating items; partial backlogging; replenishment cycles. (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:ids:injdan:v:3:y:2011:i:4:p:375-405

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