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Pricing and Inventory Models for a Retailer

<p> In this thesis we study three problems of joint pricing and inventory in a retail setting.</p> <p> The first problem deals with pricing and ordering for a retailer facing uncertain supply as well as price-sensitive uncertain demand. We first formulate the problem as two cases of pricing: a simultaneous pricing strategy where the price and the order quantity are simultaneously determined and a postponed pricing strategy where the price and the order quantity are sequentially determined. We provide a solution procedure to find the optimal price and order quantity that maximizes the retailer's profit. By conducting sensitivity analysis, we find that if the supplier is very unreliable, then the retailer is better off postponing the pricing decision in order to maximize profit. Reducing supply variability does not have the same impact on retailer's profit as much as increasing the expected supply amount. Most importantly we find that the difference between the expected profits in the two cases is not due to higher expected revenue, but due to lower expected salvage and shortage losses when the pricing decision is postponed.</p> <p> Next, we study a price setting retailer selling two substitutable goods to consumers. The retailer must decide on the optimal price and inventory that maximize the expected profit. Aside from making these decisions under demand uncertainty, the retailer must also account for the substitution that occurs upon stock out of one of the two products. Furthermore, we also take into account the related cannibalization of the available stock due to customers substituting. We formulate the problem and find the optimal prices analytically as well as conduct sensitivity analysis. We compare our findings to a model that does not consider substitution and the resultant cannibalization of inventory and find that the model that does not consider substitution tends to overestimate the expected profit for low degrees of substitution and tends to underestimate the expected profit for high degrees of substitution. Furthermore, the prices charged and the inventory held at the retailer for each product, tend to be suboptimal. The total quantity stocked in general, for both products, is lower when we account for substitution and cannibalization.</p> <p> Lastly, we study the problem of finding optimal order quantities and prices for the bundle (a collection of two or more goods sold jointly at one price) and individual items as well as how a supplier can use bundles to achieve coordination with its retailer. In a decentralized supply chain, we show that bundling is not always a feasible or a very profitable strategy. This is especially true if the products or the bundle are discounted beyond a certain point, because it may make the supplier worse off while making the retailer better off. This reduces the effectiveness of the bundling strategy in a supply chain setting. We find that the supplier, retailer and the supply chain can simultaneously improve their profits by offering bundled goods to the consumers and achieve performance of a coordinated supply chain when the supplier charges the retailer a bundling fee upfront and in exchange offering a bundling discount to the retailer.</p> <p> In the last chapter, we summarize our findings as well as provide direction for future research.</p> / Thesis / Doctor of Philosophy (PhD)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17392
Date January 2009
CreatorsSurti, Chirag
ContributorsAbad, Prakash L., Hassini, Elkafi, None
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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