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Objectives of an enterprise. Bi-criteria analysis and negotiation problems

Gadomski Jan, Kruś Lech

Control and Cybernetics

2021

Vol. 50, No. 1

169--193

A decision-making process is considered for a firm, in which two coexisting groups of interests pursue different goals. An original model based on a non-neoclassical production function is proposed. The function satisfies the conditions formulated by R. Frisch, which makes it possible to investigate firms operating in the environment far from the perfect competition and pursuing goals other than profit maximization. A two-criteria optimization problem is formulated with the two criteria representing the goals of the groups: maximization of profit and maximization of income generated by the firm with respect to capital and labor. The problem is considered in two variants of the product market, namely the perfect and the imperfect competition. Solutions of the problem are analyzed including the derived Pareto sets. The importance of knowledge about the Pareto set in negotiations between the groups of interests in the firm is illustrated and discussed.

Bi-criteria Gateway Placement Problem in Wireless Sensor Networks

Czajko M. M., Wojciechowski J. M.

International Journal of Electronics and Telecommunications

2010

Vol. 56, No. 3

215-221

Over the last few years, wireless sensor networks (WSNs) have started to play more and more important role in civil and military applications. A typical sensor network consists of resource-constrained sensing nodes, which monitor environment and send the data to more powerful gateway nodes. The goal of gateway nodes is to aggregate, process and send the data to other gateways or directly to sink nodes. The proper placement of nodes is needed to provide good network operation. Sensing nodes are often placed in a random manner unlike gateways. Gateways, due to their role and cost, are installed rather in a controlled way. In this paper, a bi-criteria gateway placement problem is introduced. The problem is shown to be NP-hard. We formulate it as a linear programming problem, then we develop the Multi-criteria Simulated Allocation (MSAL) heuristic algorithm, for the purpose of cost-effective gateway deployment and power-effective wireless connection management. Finally, we evaluate the efficiency of the algorithm by comparison with the exact method.