In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

Making farm decisions is difficult, especially making decisions about selling and pricing wheat in deregulated supply chains. This study, conducted prior to export deregulation, sought to identify which factors were important to northern New South Wales (NSW) wheat growers when they were making decisions about wheat selling and price risk, under production and market uncertainty. Key questions ...

Optimum coded Impulse-Radio Ultra-Wideband (IR-UWB) waveforms under power spectral constraints are investigated. Transmission over a SISO frequency-selective channel is assumed. An analytical solution for the optimum precoder is proposed, constraining compliance with a uniform mask in the frequency-domain and maximum transmitted power. Comparison against numerical solutions for non-uniform mask...

Nowadays, many real problems in the Artificial Intelligence environments, can be efficiently modelled as Constraint Satisfaction Problems (CSP’s) and can be solved by means of Operational Research techniques. It is well known that any non-binary CSP can be transformed into an equivalent binary one, using some of the current techniques. However, this transformation may not be practical in proble...

We study the effect of non-marketability on stock prices, and examine a unique repeated non-marketability constraint that lasts for less than one day in China. Chinese stock buyers face a one-day lockup and cannot sell their shares until the next trading day. Using the equity call warrants that are not subject to this trading constraint as a control, we provide evidence that non-marketability l...

For utility maximization problems under proportional transaction costs, it has been observed that the original market with transaction costs can sometimes be replaced by a frictionless shadow market that yields the same optimal strategy and utility. However, the question of whether or not this indeed holds in generality has remained elusive so far. In this paper we present a counterexample whic...

In many practical applications of control theory some constraints on the state and/or on the control need to be imposed. In this paper, we prove controllability results for semilinear parabolic equations under positivity constraints on the control, when the time horizon is long enough. As we shall see, in fact, the minimal controllability time turns out to be strictly positive. More precisely, ...