Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problems are co...

Table 3 and its caption Cost per 100g * in Nigerian naira (NGN) daily allowed intake grams 8 for food commodities available Ebonyi. The minimum (Min) maximum (Max) 9 are specified an adolescent male female grams. For each commodity it is 10 if within a diet type, which reflects the most restrictive can be 11 included. types abbreviated as follows: OM omnivore, PC pescatarian, VE 12 vegetarian V...

The aim of this paper is to propose a robust reliable bi-objective supply chain network design (SCND) model that is capable of controlling different kinds of uncertainties, concurrently. In this regard, stochastic bi-level scenario based programming approach which is used to model various scenarios related to strike of disruptions. The well-known method helps to overcome adverse effects of disr...

In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent...