How can we use a mathematical model in order to analyze and improve the efficiency of a productive activity?

• Author: Mariana Nikolla - Elfrida Dishmema - Orkida Totojani - Bedri Dragusha
• Position: Agricultural University of Tirana, Albania - Agricultural University of Tirana, Albania - Agricultural University of Tirana, Albania - University of Pristina, Kosovo
• Pages: 167-174

Vol. 3 No. 2

July 2017

ISSN 2410-3918

Acces online at www.iipccl.org

167

Academic Journal of Business, Administration, Law and Social Sciences

IIPCCL Publishing, Graz-Austria

How can we use a mathematical model in order to analyze and improve the

e ciency of a productive activity?

Mariana Nikolla

Agricultural University of Tirana, Albania

Elfrida Dishmema

Agricultural University of Tirana, Albania

Orkida Totojani

Agricultural University of Tirana, Albania

Bedri Dragusha

University of Pristina, Kosovo

Abstract

Beer business industry is one of the most profi table agro-processing industries in the country.

It has increased by expanding local and international market. There are 80 small and large

beer factories that have their activity in Albania. The leading domestic beer manufacturers are:

"Stela" beer, “Tirana” beer, “Korca” beer, “Kaon” beer, “Norga” beer, etc. They have invested

millions of euros in terms of improving the quality of their production. Stela beer was the

fi rst private beer active in the Albanian market. Its factory production founders of Stela beer

responded to the market by investing in the development of technology, modern equipment

and science. Stela beer processing and production systems have been improved continuously.

The investments today are at around 20 million dollars. The factory has a considerable

number of employees and a production capacity of around 250,000 hl per year. This article

uses information obtained for beer production during the period 2003-2016. Through non-

parametric mathematical model Dea, the impact of production factors such as investment,

advertising, expenses, capital and number of employees in the production of beer during

the study period is analyzed. The analysis showed that the best years or more e cient years

in the use of the quantity of inputs for the period 2003-2016 are 2007, 2014 and 2015. The

years 2003, 2010 and 2012 are less e cient by Dea analysis. The study also showed the best

possible combinations of inputs improving the e ciency of ine cient years in the Stela Beer

production.

Keywords: mathematical model, production, e ciency, Stela beer, Albania.

Introduction

One of the strategic policies of the Ministry of Agriculture, Rural Development and

Water Management of the Republic of Albania is to promote the development of the

agro-food sector.

Increasing the quality of agricultural products, livestock and agroprocessing in the

country increases the interest in these products in foreign markets. Statistics published

by the Ministry of Agriculture, Rural Development and Water Management for 2016