МАТЕМАТИЧЕСКАЯ МОДЕЛЬ ФУНКЦИОНИРОВАНИЯ АВТОТРАНСПОРТНОГО ПРЕДПРИЯТИЯ ПРИ ПЕРЕВОЗКЕ ГРУЗОВ В МЕЖДУГОРОДНОМ СООБЩЕНИИ ДЛЯ ТЕКУЩЕГО ПЛАНИРОВАНИЯ

Abstract

PURPOSE. The article focuses on modern economic conditions that require the managers to make managerial decisions aimed at fulfilling the contract terms when long-distance cargo hauling. The purpose of the study is to develop a mathematical model of motor transport enterprise (MTE) operation for contract term fulfillment and profit making through the interrelation of commercial and technical exploitation in long-distance cargo hauling. METHODS. The mathematical model is developed within a new methodological conception of current planning of freight MTE operation considering the interrelation of commercial and technical exploitation and allowing to treat the MTE operation when long distance hauling of freight as a probabilistic process. The objective function of the model is the effect of contract terms fulfillment. The economic efficiency of the current planning of MTE operation is estimated by the amount of profit. RESULTS. A mathematical software developed by the authors has been used for practical implementation of the proposed mathematical model. It was found out that the profit under long-distance transportation of goods calculated on the basis of the developed mathematical model is by 10.8% (1281170 rubles) greater than the profit calculated by the applied technique of the technical transportation financial plan. CONCLUSIONS. The developed mathematical model allowed to present the MTE operation as a probabilistic process for which the planned indices of commercial and technical exploitation are calculated for the upper and lower confidence limits of the mathematical expectation of the loaded long-distance cargo haulage with the probability of 0.95 and by the upper and lower confidence limits of mathematical expectation of the weight of long distance cargo shipment.