In this paper, our concern is on modelling a stochastic knapsack problem with the mixture of two known distributions (Gamma and Exponential) using additive form. The behavioural pattern of this mixed distribution is presented graphically and properly examined with different values of the parameters. It was shown that the new distribution is a proper probability density function (PDF) and its mean and variance were obtained, respectively. Also, an algebraic model was proposed for a stochastic knapsack problem with mixed (additive form) distributional weight.
Key words: Knapsack problem, contagious distribution, gamma distribution, exponential distribution.
Copyright © 2022 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0