Abstract
In this paper, multiproduct supply chain network is investigated with equity consideration,namely, obtaining the optimal flow pattern, in such a way that no user in the network can increasehis(her) benefit with change in product’s sending path. However, each kind of products, has anindividual cost function and, at the same time, contributes to its own and other product’s cost functionin an individual way. An algorithm is developed to find optimal flow pattern for such multiproductsupply chain network.
Highlights
A supply chain is a network of retailers, distributors, transporters, storage facilities, and suppliers that participate in the production, delivery, and sale of products to the consumer
An optimal flow pattern x for a given multiproduct supply chain network T = (G, D, C) is defined as a feasible flow pattern x that satisfies the following condition: for every fixed typical product j and every pair O/D, w ∈ W, such that djw > 0, there exists ε > 0 with following property: choose any p ∈ Pw for which xjp > 0 and any number ∆x in the interval (0, min{ε, xjp}], consider another path q ∈ Pw, the personal cost Cpj(f )∆x of ∆x products of typical j in the original flow pattern x is no greater than the personal cost Cqj(f)∆x of the same products in the flow pattern xdefined by of operators
Equity in multiproduct supply chain network was developed as antitrust law
Summary
A supply chain is a network of retailers, distributors, transporters, storage facilities, and suppliers that participate in the production, delivery, and sale of products to the consumer. Equity in supply chain network is analyzed as following the competition law. Competition law, or antitrust law, has three main elements: 1) prohibiting agreements or practices that restrict free trading and competition between business. This includes in particular the repression of free trade caused by cartels. 2) banning abusive behavior by a firm dominating a market, or anti-competitive practices that tend to lead to such a dominant position. Practices controlled in this way may include predatory pricing, tying, price gouging, refusal to deal, and many others. Note that Min and Zhou [6] provided a synopsis of supply chain modeling and the importance of planning, designing, and controlling the supply chain as a whole
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