The quality of manufactured products is characterized by many controllable quality factors. These factors should be optimized to reach high quality products. In this paper we try to find the controllable factors levels with minimum deviation from the target and with a least variation. To solve the problem a simple aggregation function is used to aggregate the multiple responses functions then a...

We consider the problem of allocating production capacity among multiple items, assuming that a fixed proportion of overall capacity can be dedicated exclusively to the production of each item. Given a capacity allocation, production of each item follows a base-stock policy, i.e., each demand triggers a replenishment order to restore safety stocks to target levels. We present procedures for cho...

We develop a framework for continuous search for information on a choice set of multiple alternatives, and apply it to consumer search in a product market. When a consumer considers purchasing a product in a product category, the consumer can gather information sequentially on several products. At each moment the consumer can choose which product to gather more information on, and whether to st...

The typical algorithmic problem in viral marketing aims to identify a set of influential users in a social network, who, when convinced to adopt a product, shall influence other users in the network and trigger a large cascade of adoptions. However, the host (the owner of an online social platform) often faces more constraints than a single product, endless user attentions, unlimited budget and...

Recently, we introduced in [1] a model for product adoption in social networks with multiple products, where the agents, influenced by their neighbours, can adopt one out of several alternatives. We identify and analyze here four types of paradoxes that can arise in these networks. To this end, we use social network games that we recently introduced in [15]. These paradoxes shed light on possib...

Let (X,ω) be a symplectic manifold with compatible almost–complex structure J . If g and m are non–negative integers, we denote by Mg,m the Deligne–Mumford space of genus–g curves with m marked points. If furthermore A ∈ H2(X,Z) denotes a degree–2 homology class of X, Mg,m(X,A) will be the space of stable genus–g J–holomorphic maps to X with homology class A. The Gromov–Witten invariants of X (...

We study the optimal (i.e. revenue maximizing) auction of multiple products. We make three major points. First, we extend the relationship between price discrimination and optimal auctions from the single-product case to the multiple-product case. A monopolist setting prices for multiple products may offer discounts on purchases of bundles of products; similarly, the optimal auction of multiple...

asthma, depression and moderate-toheavy consumption of alcohol had presented to the emergency department with a threemonth history of increasing fatigue and jaundice. She had reported consuming three or four beers on a regular basis and a few glasses of wine three times weekly. Over the past three months, she had been taking six prescription medications (Table 1) and seven natural health produc...