A timely response to a fluctuating and ever-changing consumer demand is an important decision for a company, as it may impact its position in the market. Thus, proper inventory management becomes a focal point in retail business process management and can provide a substantial competitive advantage. In this paper, we introduce a modified version of Wilson’s model, which takes into account trends in consumer demand and offer flexibility in reordering time. The illustration of the proposed model is presented, showing the significant economic benefit under particular conditions.

The current paper proposes analytical solution of the problem of optimal allocation of resources in the game of two parties, based on the production function of Cobb-Douglas with constant returns under changing scale of production. The Edgeworth box is used to derive the main scientific findings of this research, namely: the analytic representation of Contract Curve; Community indifference curve, a production possibility frontier curve under Cobb-Douglas production function, analytical representation of the solution of maximization income in solving resource allocation problem. The proposed technique is more suitable for practical applicability compared with prevailing theoretical resource allocation models based on Cobb-Douglas production function.