A deterministic model for the inventory policy of countries for procurement of vaccines

Abstract

The countries are the units that procure the vaccines during the COVID-19 pandemic. The delivered quantities are huge. The countries must bear the inventory holding cost according to the variation of stock quantities. This cost depends on the speed of the vaccination in the country. This speed is time-dependent. The vaccinated portion of the population can be approximated by the cumulative distribution function of the Cauchy distribution. A model is provided for determining the minimal-cost inventory policy and its optimality conditions are provided. The model is solved for 20 countries for different numbers of procurements. The results reveal the individual behavior of each country.

Ubiquitous-cloud-inspired deterministic and stochastic service provider models with mixed-integer-programming

“…The deterministic model is a mathematical model that allows for reasonably accurate measurement of symptoms. Examples of deterministic model research are deterministic model studies to predict flooding [6], analysis understanding the dynamics of tuberculosis with a focus on first-line treatments such as vaccination and drug resistance [7], deterministic models for the dynamics of Q Fever transmission in dairy cattle using sensitivity analysis and Int J Artif Intell ISSN: 2252-8938  Ubiquitous-cloud-inspired deterministic and stochastic service provider models with … (Sumarlin) 1305 optimal control Yosua [8], a deterministic model for country inventory policies for vaccine procurement [9], and a deterministic model for composable reactive systems [10].…”