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On The Characteristics of the Optimal Solutions to a Stochastic Knapsack Problem with Contagious Distributional Capacity

Nsikan Paul Akpan, Uwaeme Remy Onyebuchi

Abstract



Problems involving different parameters of the knapsack problem has been studied over the years stochastically using different methods. This involves obtaining optimal solutions to these problem when the parameters follows a particular distribution. However, the characteristics of these distributions and their effect on the solutions have not been investigated. This study therefore investigates the stochastic knapsack problem with the capacity following a contagious distribution of Poisson and Gamma distributions. Using the simplex method of Witchakul et al. (2007), an exact algorithm was developed and the characteristics of the mixture also examined and compared with the algorithm of Witchakul et al. (2007). The result indicates that the characteristics of a mixture in a stochastic knapsack problem affects the optimal solutions of the problem.

Keywords


Stochastic Knapsack Problem, Contagious Distribution, Optimal Solutions, Knapsack Problems, Poisson-Gamma Distribution.

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